Time bar (total: 12.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 6.3% | 6.2% | 93.6% | 0.1% | 0% | 0% | 0% | 7 |
| 9.4% | 9.4% | 90.5% | 0.1% | 0% | 0% | 0% | 8 |
| 14.1% | 14% | 85.8% | 0.1% | 0% | 0% | 0% | 9 |
| 25.8% | 25.7% | 74.1% | 0.1% | 0% | 0% | 0% | 10 |
| 30.1% | 30% | 69.8% | 0.1% | 0% | 0% | 0% | 11 |
| 34.2% | 34.1% | 65.7% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 25 to 19 computations (24% saved)
| 1.4s | 8256× | body | 256 | valid |
| 2× | egg-herbie |
| 3970× | fma-def |
| 788× | *-commutative |
| 450× | associate-*r* |
| 418× | associate-/l* |
| 372× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 196 |
| 1 | 111 | 196 |
| 2 | 233 | 180 |
| 3 | 483 | 180 |
| 4 | 1003 | 180 |
| 5 | 1762 | 180 |
| 6 | 2104 | 180 |
| 7 | 2403 | 180 |
| 8 | 2765 | 180 |
| 9 | 3059 | 180 |
| 10 | 3066 | 180 |
| 11 | 4504 | 180 |
| 12 | 4504 | 180 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(+.f64 y (/.f64 (*.f64 x (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(+.f64 z (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 x 692910599291889/10000000000000000) 307332350656623/625000000000000) x) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 x 6012459259764103/1000000000000000) x) 104698244219447/31250000000000))) |
(+.f64 x (/.f64 (*.f64 z (+.f64 (*.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) 307332350656623/625000000000000) y) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 y 6012459259764103/1000000000000000) y) 104698244219447/31250000000000))) |
| Outputs |
|---|
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))) |
(+.f64 x (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) |
(fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x) |
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) |
(+.f64 y (/.f64 (*.f64 x (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(+.f64 y (/.f64 x (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))) |
(+.f64 y (/.f64 x (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) |
(fma.f64 (/.f64 x (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) y) |
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 x (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y) |
(fma.f64 x (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y) |
(+.f64 z (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 x 692910599291889/10000000000000000) 307332350656623/625000000000000) x) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 x 6012459259764103/1000000000000000) x) 104698244219447/31250000000000))) |
(+.f64 z (/.f64 y (/.f64 (fma.f64 (+.f64 x 6012459259764103/1000000000000000) x 104698244219447/31250000000000) (fma.f64 (fma.f64 x 692910599291889/10000000000000000 307332350656623/625000000000000) x 11167812716741/40000000000000)))) |
(+.f64 z (*.f64 (/.f64 y (fma.f64 x (+.f64 x 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 x (fma.f64 x 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) |
(fma.f64 (/.f64 y (fma.f64 x (+.f64 x 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 x (fma.f64 x 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) z) |
(fma.f64 (fma.f64 x (fma.f64 x 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 x (+.f64 x 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z) |
(fma.f64 y (/.f64 (fma.f64 x (fma.f64 x 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 x (+.f64 x 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z) |
(+.f64 x (/.f64 (*.f64 z (+.f64 (*.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) 307332350656623/625000000000000) y) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 y 6012459259764103/1000000000000000) y) 104698244219447/31250000000000))) |
(+.f64 x (/.f64 z (/.f64 (fma.f64 (+.f64 y 6012459259764103/1000000000000000) y 104698244219447/31250000000000) (fma.f64 (fma.f64 y 692910599291889/10000000000000000 307332350656623/625000000000000) y 11167812716741/40000000000000)))) |
(+.f64 x (*.f64 (/.f64 z (fma.f64 y (+.f64 y 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 y (fma.f64 y 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) |
(fma.f64 (/.f64 z (fma.f64 y (+.f64 y 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 y (fma.f64 y 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x) |
(fma.f64 (fma.f64 y (fma.f64 y 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 z (fma.f64 y (+.f64 y 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) |
(fma.f64 z (/.f64 (fma.f64 y (fma.f64 y 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 y (+.f64 y 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) |
Compiled 27 to 21 computations (22.2% saved)
| 1× | egg-herbie |
| 1044× | fma-def |
| 212× | *-commutative |
| 114× | associate-*r* |
| 110× | associate-/l* |
| 98× | +-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 49 |
| 1 | 41 | 49 |
| 2 | 77 | 45 |
| 3 | 155 | 45 |
| 4 | 300 | 45 |
| 5 | 497 | 45 |
| 6 | 703 | 45 |
| 7 | 808 | 45 |
| 8 | 989 | 45 |
| 9 | 1142 | 45 |
| 10 | 1202 | 45 |
| 11 | 1203 | 45 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
| Outputs |
|---|
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))) |
(+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) |
(fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x) |
(fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x) |
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) |
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) |
Compiled 128 to 86 computations (32.8% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 | 4 | 7 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 3 | 5 | 8 |
| Status | Error | Program |
|---|---|---|
| ▶ | 15.4b | (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x) |
| ▶ | 20.4b | (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
| ▶ | 15.5b | (+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))) |
| ▶ | 16.6b | (+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) |
Compiled 86 to 62 computations (27.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) |
| ✓ | 0.2b | (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) |
| ✓ | 3.6b | (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) |
| ✓ | 18.1b | (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) |
Compiled 73 to 50 computations (31.5% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | 0 | (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) |
| 1.0ms | z | @ | inf | (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) |
| 1.0ms | y | @ | inf | (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) |
| 1.0ms | z | @ | -inf | (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) |
| 1.0ms | z | @ | 0 | (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) |
| 1× | batch-egg-rewrite |
| 1668× | associate-*r/ |
| 1298× | associate-*l/ |
| 934× | associate-/r* |
| 344× | add-sqr-sqrt |
| 324× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 90 |
| 1 | 344 | 90 |
| 2 | 4174 | 90 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) |
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) |
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000) (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000) (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 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| 1× | egg-herbie |
| 1122× | associate-*l* |
| 1072× | associate-*r* |
| 1018× | times-frac |
| 708× | associate-/r* |
| 644× | associate-/l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 676 | 13594 |
| 1 | 1745 | 13250 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
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(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
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(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(*.f64 279195317918525/3350343815022304 y) |
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(*.f64 (sqrt.f64 y) (/.f64 (*.f64 (sqrt.f64 y) 1) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(*.f64 (sqrt.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (sqrt.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) |
(*.f64 (cbrt.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (pow.f64 (cbrt.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 2) (cbrt.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) |
(*.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y) |
(*.f64 (neg.f64 y) (/.f64 -1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (/.f64 y (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2)) (/.f64 y (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) |
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (/.f64 (cbrt.f64 y) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2)) (cbrt.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) |
(pow.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 1) |
(pow.f64 (sqrt.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 2) |
(pow.f64 (cbrt.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 3) |
(pow.f64 (pow.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3) 1/3) |
(pow.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y) -1) |
(neg.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) |
(sqrt.f64 (pow.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2)) |
(log.f64 (exp.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))) |
(cbrt.f64 (pow.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) |
(exp.f64 (log.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) |
(+.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000)) |
(+.f64 307332350656623/625000000000000 (*.f64 (*.f64 z 692910599291889/10000000000000000) 1)) |
(+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) |
(+.f64 (*.f64 (*.f64 z 692910599291889/10000000000000000) 1) 307332350656623/625000000000000) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) 1) |
(*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 1) |
(*.f64 1 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) |
(*.f64 (sqrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (sqrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) |
(*.f64 (cbrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (pow.f64 (cbrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (cbrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) |
(/.f64 (-.f64 (*.f64 (*.f64 z 692910599291889/10000000000000000) (*.f64 z 692910599291889/10000000000000000)) 94453173760125479739253764129/390625000000000000000000000000) (-.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) |
(/.f64 (+.f64 29028515918677826297037119458939297513676367/244140625000000000000000000000000000000000000 (pow.f64 (*.f64 z 692910599291889/10000000000000000) 3)) (+.f64 (*.f64 (*.f64 z 692910599291889/10000000000000000) (*.f64 z 692910599291889/10000000000000000)) (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 z 692910599291889/10000000000000000) (*.f64 z 692910599291889/10000000000000000)) 94453173760125479739253764129/390625000000000000000000000000)) (-.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) |
(/.f64 (*.f64 1 (+.f64 29028515918677826297037119458939297513676367/244140625000000000000000000000000000000000000 (pow.f64 (*.f64 z 692910599291889/10000000000000000) 3))) (+.f64 (*.f64 (*.f64 z 692910599291889/10000000000000000) (*.f64 z 692910599291889/10000000000000000)) (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 z 692910599291889/10000000000000000) (*.f64 z 692910599291889/10000000000000000)) 94453173760125479739253764129/390625000000000000000000000000) 1) (-.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) |
(/.f64 (*.f64 (+.f64 29028515918677826297037119458939297513676367/244140625000000000000000000000000000000000000 (pow.f64 (*.f64 z 692910599291889/10000000000000000) 3)) 1) (+.f64 (*.f64 (*.f64 z 692910599291889/10000000000000000) (*.f64 z 692910599291889/10000000000000000)) (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)))) |
(pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 1) |
(pow.f64 (sqrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) |
(pow.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2)) |
(log.f64 (exp.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) |
(cbrt.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) |
(exp.f64 (log.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) |
(+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) |
(+.f64 11167812716741/40000000000000 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 1)) |
(+.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 11167812716741/40000000000000) |
(+.f64 (*.f64 z (*.f64 z 692910599291889/10000000000000000)) (+.f64 (*.f64 z 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(+.f64 (*.f64 (*.f64 z 692910599291889/10000000000000000) z) (+.f64 (*.f64 307332350656623/625000000000000 z) 11167812716741/40000000000000)) |
(+.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 1) 11167812716741/40000000000000) |
(+.f64 (+.f64 11167812716741/40000000000000 (*.f64 z (*.f64 z 692910599291889/10000000000000000))) (*.f64 z 307332350656623/625000000000000)) |
(+.f64 (+.f64 11167812716741/40000000000000 (*.f64 (*.f64 z 692910599291889/10000000000000000) z)) (*.f64 307332350656623/625000000000000 z)) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 1) |
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 1) |
(*.f64 1 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(*.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) |
(*.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2) (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) |
(/.f64 (-.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) 124720040876201995101661081/1600000000000000000000000000) (-.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 11167812716741/40000000000000)) |
(/.f64 (+.f64 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3)) (+.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 11167812716741/40000000000000)))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) 124720040876201995101661081/1600000000000000000000000000)) (-.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 11167812716741/40000000000000)) |
(/.f64 (*.f64 1 (+.f64 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3))) (+.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 11167812716741/40000000000000)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) 124720040876201995101661081/1600000000000000000000000000) 1) (-.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 11167812716741/40000000000000)) |
(/.f64 (*.f64 (+.f64 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3)) 1) (+.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 11167812716741/40000000000000)))) |
(pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 1) |
(pow.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 3) |
(pow.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 2)) |
(log.f64 (exp.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) |
(cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) |
(exp.f64 (log.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) |
| Outputs |
|---|
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y) |
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y) |
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y) |
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y) |
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(/.f64 (+.f64 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3)) (+.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 11167812716741/40000000000000)))) |
(/.f64 (+.f64 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3)) (+.f64 (*.f64 (*.f64 z z) (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2)) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))) |
(/.f64 (+.f64 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3)) (+.f64 (*.f64 z (*.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2) z)) (+.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) -11167812716741/40000000000000)))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) 124720040876201995101661081/1600000000000000000000000000)) (-.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 11167812716741/40000000000000)) |
(/.f64 (+.f64 (*.f64 (*.f64 z z) (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2)) -124720040876201995101661081/1600000000000000000000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)) |
(/.f64 (+.f64 (*.f64 z (*.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2) z)) -124720040876201995101661081/1600000000000000000000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)) |
(/.f64 (*.f64 1 (+.f64 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3))) (+.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 11167812716741/40000000000000)))) |
(/.f64 (+.f64 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3)) (+.f64 (*.f64 (*.f64 z z) (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2)) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))) |
(/.f64 (+.f64 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3)) (+.f64 (*.f64 z (*.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2) z)) (+.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) -11167812716741/40000000000000)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) 124720040876201995101661081/1600000000000000000000000000) 1) (-.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 11167812716741/40000000000000)) |
(/.f64 (+.f64 (*.f64 (*.f64 z z) (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2)) -124720040876201995101661081/1600000000000000000000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)) |
(/.f64 (+.f64 (*.f64 z (*.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2) z)) -124720040876201995101661081/1600000000000000000000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)) |
(/.f64 (*.f64 (+.f64 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3)) 1) (+.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 11167812716741/40000000000000)))) |
(/.f64 (+.f64 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3)) (+.f64 (*.f64 (*.f64 z z) (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2)) (-.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))) |
(/.f64 (+.f64 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3)) (+.f64 (*.f64 z (*.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2) z)) (+.f64 124720040876201995101661081/1600000000000000000000000000 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) -11167812716741/40000000000000)))) |
(pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 1) |
(fma.f64 z (*.f64 692910599291889/10000000000000000 z) (fma.f64 307332350656623/625000000000000 z 11167812716741/40000000000000)) |
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) |
(pow.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2) |
(fma.f64 z (*.f64 692910599291889/10000000000000000 z) (fma.f64 307332350656623/625000000000000 z 11167812716741/40000000000000)) |
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) |
(pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 3) |
(fma.f64 z (*.f64 692910599291889/10000000000000000 z) (fma.f64 307332350656623/625000000000000 z 11167812716741/40000000000000)) |
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) |
(pow.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 3) 1/3) |
(fma.f64 z (*.f64 692910599291889/10000000000000000 z) (fma.f64 307332350656623/625000000000000 z 11167812716741/40000000000000)) |
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) |
(sqrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 2)) |
(log.f64 (exp.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) |
(fma.f64 z (*.f64 692910599291889/10000000000000000 z) (fma.f64 307332350656623/625000000000000 z 11167812716741/40000000000000)) |
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) |
(fma.f64 z (*.f64 692910599291889/10000000000000000 z) (fma.f64 307332350656623/625000000000000 z 11167812716741/40000000000000)) |
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) |
(cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 3)) |
(fma.f64 z (*.f64 692910599291889/10000000000000000 z) (fma.f64 307332350656623/625000000000000 z 11167812716741/40000000000000)) |
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) |
(expm1.f64 (log1p.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) |
(fma.f64 z (*.f64 692910599291889/10000000000000000 z) (fma.f64 307332350656623/625000000000000 z 11167812716741/40000000000000)) |
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) |
(exp.f64 (log.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) |
(fma.f64 z (*.f64 692910599291889/10000000000000000 z) (fma.f64 307332350656623/625000000000000 z 11167812716741/40000000000000)) |
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) |
(exp.f64 (*.f64 (log.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 1)) |
(fma.f64 z (*.f64 692910599291889/10000000000000000 z) (fma.f64 307332350656623/625000000000000 z 11167812716741/40000000000000)) |
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) |
(log1p.f64 (expm1.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) |
(fma.f64 z (*.f64 692910599291889/10000000000000000 z) (fma.f64 307332350656623/625000000000000 z 11167812716741/40000000000000)) |
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))) |
| ✓ | 0.1b | (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) |
| 0.2b | (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) | |
| ✓ | 15.4b | (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) |
Compiled 79 to 55 computations (30.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | inf | (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) |
| 1.0ms | y | @ | 0 | (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))) |
| 0.0ms | y | @ | inf | (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))) |
| 0.0ms | z | @ | 0 | (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) |
| 0.0ms | z | @ | -inf | (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))) |
| 1× | batch-egg-rewrite |
| 1610× | associate-/l* |
| 752× | distribute-lft-in |
| 720× | associate-/r/ |
| 388× | associate-/l/ |
| 352× | add-sqr-sqrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 97 |
| 1 | 350 | 97 |
| 2 | 4405 | 97 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) |
(fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) |
(/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) 104698244219447/31250000000000) (*.f64 (/.f64 1 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) (*.f64 (/.f64 1 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) 104698244219447/31250000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) (*.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 1)) (*.f64 (/.f64 1 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) 104698244219447/31250000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (/.f64 1 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))) (sqrt.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 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| 1× | egg-herbie |
| 882× | +-commutative |
| 862× | associate-*r* |
| 782× | associate-+r+ |
| 640× | associate-*l* |
| 630× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 519 | 9338 |
| 1 | 1498 | 8844 |
| 2 | 7085 | 8844 |
| 1× | node limit |
| Inputs |
|---|
3350343815022304/279195317918525 |
(+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525) |
(+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) (+.f64 3350343815022304/279195317918525 (*.f64 -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (pow.f64 z 2)))) |
(+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) (+.f64 (*.f64 119290279017840661005388637518195067609906756376454090785993/1519051620718896144731238710708768455317203651375836035156250 (pow.f64 z 3)) (+.f64 3350343815022304/279195317918525 (*.f64 -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (pow.f64 z 2))))) |
10000000000000000/692910599291889 |
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(*.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))) 2)) 1) (cbrt.f64 (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))) |
(*.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))) 2)) (cbrt.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) (cbrt.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))) |
(*.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))) 2)) (cbrt.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) (cbrt.f64 (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) |
(pow.f64 (*.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (/.f64 y (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) 1) |
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (/.f64 y (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (/.f64 y (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))) 3) |
(pow.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (/.f64 y (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) 3) 1/3) |
(pow.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (*.f64 y (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))) -1) |
(neg.f64 (*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))) |
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (/.f64 y (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) 2)) |
(log.f64 (pow.f64 (exp.f64 y) (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (/.f64 y (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))))) |
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (/.f64 y (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (/.f64 y (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))))) |
(exp.f64 (log.f64 (*.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (/.f64 y (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (/.f64 y (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (/.f64 y (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))))) |
| Outputs |
|---|
3350343815022304/279195317918525 |
(+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525) |
(fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525) |
(+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) (+.f64 3350343815022304/279195317918525 (*.f64 -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (pow.f64 z 2)))) |
(+.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525) (*.f64 -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (*.f64 z z))) |
(fma.f64 155900051080628738716045985239/389750127738131234692690878125 z (fma.f64 -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (*.f64 z z) 3350343815022304/279195317918525)) |
(+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) (+.f64 (*.f64 119290279017840661005388637518195067609906756376454090785993/1519051620718896144731238710708768455317203651375836035156250 (pow.f64 z 3)) (+.f64 3350343815022304/279195317918525 (*.f64 -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (pow.f64 z 2))))) |
(fma.f64 155900051080628738716045985239/389750127738131234692690878125 z (fma.f64 119290279017840661005388637518195067609906756376454090785993/1519051620718896144731238710708768455317203651375836035156250 (pow.f64 z 3) (+.f64 3350343815022304/279195317918525 (*.f64 -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (*.f64 z z))))) |
(fma.f64 155900051080628738716045985239/389750127738131234692690878125 z (fma.f64 119290279017840661005388637518195067609906756376454090785993/1519051620718896144731238710708768455317203651375836035156250 (pow.f64 z 3) (fma.f64 -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (*.f64 z z) 3350343815022304/279195317918525))) |
10000000000000000/692910599291889 |
(-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))) |
(-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) |
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) |
(-.f64 (+.f64 10000000000000000/692910599291889 (*.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (/.f64 1 (pow.f64 z 2)))) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))) |
(+.f64 10000000000000000/692910599291889 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) |
(+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) |
(+.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) |
(-.f64 (+.f64 10000000000000000/692910599291889 (*.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)) (*.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (/.f64 1 (pow.f64 z 3))))) |
(-.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (+.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z) (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3)))) |
(+.f64 10000000000000000/692910599291889 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z) (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3))))) |
10000000000000000/692910599291889 |
(-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))) |
(-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) |
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) |
(-.f64 (+.f64 10000000000000000/692910599291889 (*.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (/.f64 1 (pow.f64 z 2)))) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))) |
(+.f64 10000000000000000/692910599291889 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) |
(+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) |
(+.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) |
(-.f64 (+.f64 10000000000000000/692910599291889 (*.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (/.f64 1 (pow.f64 z 2)))) (+.f64 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)) (*.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (/.f64 1 (pow.f64 z 3))))) |
(-.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (+.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z) (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3)))) |
(+.f64 10000000000000000/692910599291889 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z) (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 z 3))))) |
11167812716741/40000000000000 |
(+.f64 11167812716741/40000000000000 (*.f64 307332350656623/625000000000000 z)) |
(+.f64 11167812716741/40000000000000 (*.f64 z 307332350656623/625000000000000)) |
(fma.f64 z 307332350656623/625000000000000 11167812716741/40000000000000) |
(+.f64 11167812716741/40000000000000 (+.f64 (*.f64 307332350656623/625000000000000 z) (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)))) |
(+.f64 11167812716741/40000000000000 (fma.f64 307332350656623/625000000000000 z (*.f64 (*.f64 z z) 692910599291889/10000000000000000))) |
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) |
(+.f64 11167812716741/40000000000000 (+.f64 (*.f64 307332350656623/625000000000000 z) (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)))) |
(+.f64 11167812716741/40000000000000 (fma.f64 307332350656623/625000000000000 z (*.f64 (*.f64 z z) 692910599291889/10000000000000000))) |
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) |
(*.f64 692910599291889/10000000000000000 (pow.f64 z 2)) |
(*.f64 (*.f64 z z) 692910599291889/10000000000000000) |
(*.f64 z (*.f64 z 692910599291889/10000000000000000)) |
(+.f64 (*.f64 307332350656623/625000000000000 z) (*.f64 692910599291889/10000000000000000 (pow.f64 z 2))) |
(fma.f64 307332350656623/625000000000000 z (*.f64 (*.f64 z z) 692910599291889/10000000000000000)) |
(*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) |
(+.f64 11167812716741/40000000000000 (+.f64 (*.f64 307332350656623/625000000000000 z) (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)))) |
(+.f64 11167812716741/40000000000000 (fma.f64 307332350656623/625000000000000 z (*.f64 (*.f64 z z) 692910599291889/10000000000000000))) |
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) |
(+.f64 11167812716741/40000000000000 (+.f64 (*.f64 307332350656623/625000000000000 z) (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)))) |
(+.f64 11167812716741/40000000000000 (fma.f64 307332350656623/625000000000000 z (*.f64 (*.f64 z z) 692910599291889/10000000000000000))) |
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) |
(*.f64 692910599291889/10000000000000000 (pow.f64 z 2)) |
(*.f64 (*.f64 z z) 692910599291889/10000000000000000) |
(*.f64 z (*.f64 z 692910599291889/10000000000000000)) |
(+.f64 (*.f64 307332350656623/625000000000000 z) (*.f64 692910599291889/10000000000000000 (pow.f64 z 2))) |
(fma.f64 307332350656623/625000000000000 z (*.f64 (*.f64 z z) 692910599291889/10000000000000000)) |
(*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) |
(+.f64 11167812716741/40000000000000 (+.f64 (*.f64 307332350656623/625000000000000 z) (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)))) |
(+.f64 11167812716741/40000000000000 (fma.f64 307332350656623/625000000000000 z (*.f64 (*.f64 z z) 692910599291889/10000000000000000))) |
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) |
(+.f64 11167812716741/40000000000000 (+.f64 (*.f64 307332350656623/625000000000000 z) (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)))) |
(+.f64 11167812716741/40000000000000 (fma.f64 307332350656623/625000000000000 z (*.f64 (*.f64 z z) 692910599291889/10000000000000000))) |
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) |
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) |
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
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(*.f64 (/.f64 (/.f64 y (sqrt.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) (sqrt.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) (sqrt.f64 (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) |
(*.f64 (/.f64 (/.f64 y (sqrt.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) (sqrt.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) (sqrt.f64 (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) |
(*.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))) 2)) 1) (cbrt.f64 (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))) |
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 2)) (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) y) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 2)) |
(*.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))) 2)) (cbrt.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) (cbrt.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))) |
(/.f64 (*.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 2)) (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (cbrt.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) |
(*.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (/.f64 (/.f64 y (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 2))) |
(*.f64 (/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))) 2)) (cbrt.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) (cbrt.f64 (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) |
(*.f64 (/.f64 y (*.f64 (cbrt.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 2))) (cbrt.f64 (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) |
(*.f64 (/.f64 (/.f64 y (cbrt.f64 (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 2)) (cbrt.f64 (-.f64 -11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))) |
(pow.f64 (*.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (/.f64 y (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) 1) |
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) |
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (/.f64 y (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))) 2) |
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) |
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (/.f64 y (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))) 3) |
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) |
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(pow.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (/.f64 y (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) 3) 1/3) |
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) |
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(pow.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (*.f64 y (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))) -1) |
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) |
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(neg.f64 (*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))) |
(*.f64 (/.f64 y (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (+.f64 (*.f64 z (neg.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) -11167812716741/40000000000000)) |
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (neg.f64 y) (-.f64 -104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) |
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (/.f64 y (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) 2)) |
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) 2)) |
(fabs.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) |
(log.f64 (pow.f64 (exp.f64 y) (/.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))) |
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) |
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (/.f64 y (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))))) |
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) |
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (/.f64 y (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) 3)) |
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) |
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) 3))) |
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) |
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (/.f64 y (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))))) |
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) |
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(exp.f64 (log.f64 (*.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (/.f64 y (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))))) |
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) |
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (/.f64 y (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))) 1)) |
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) |
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000) (/.f64 y (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))))) |
(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) |
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) |
| ✓ | 0.5b | (*.f64 z 692910599291889/10000000000000000) |
| ✓ | 3.1b | (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) |
| ✓ | 19.7b | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
Compiled 101 to 73 computations (27.7% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | inf | (*.f64 z 692910599291889/10000000000000000) |
| 1.0ms | y | @ | 0 | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
| 1.0ms | y | @ | inf | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
| 0.0ms | z | @ | inf | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
| 0.0ms | z | @ | -inf | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
| 1× | batch-egg-rewrite |
| 1724× | associate-/l* |
| 430× | add-sqr-sqrt |
| 408× | pow1 |
| 408× | *-un-lft-identity |
| 406× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 86 |
| 1 | 422 | 86 |
| 2 | 5702 | 86 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
(*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) |
(*.f64 z 692910599291889/10000000000000000) |
(*.f64 (+.f64 z 6012459259764103/1000000000000000) z) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1324× | associate-/r* |
| 1016× | associate-+l+ |
| 720× | +-commutative |
| 634× | associate-+r+ |
| 544× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 445 | 7014 |
| 1 | 1193 | 6710 |
| 2 | 5050 | 6710 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
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(sqrt.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2)) |
(log.f64 (pow.f64 (exp.f64 (+.f64 z 6012459259764103/1000000000000000)) z)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) |
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) |
(exp.f64 (log.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) |
| Outputs |
|---|
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 y 279195317918525/3350343815022304) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)))) |
(fma.f64 279195317918525/3350343815022304 y (*.f64 z (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080))) |
(fma.f64 y 279195317918525/3350343815022304 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))) |
(+.f64 (*.f64 (-.f64 (*.f64 692910599291889/33503438150223040 y) (+.f64 (*.f64 272651677654809570312500000/10961722342634967150292985809 y) (*.f64 6012459259764103/3350343815022304 (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y))))) (pow.f64 z 2)) (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y))))) |
(fma.f64 (-.f64 (*.f64 y 692910599291889/33503438150223040) (fma.f64 272651677654809570312500000/10961722342634967150292985809 y (*.f64 (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080) 6012459259764103/3350343815022304))) (*.f64 z z) (fma.f64 279195317918525/3350343815022304 y (*.f64 z (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080)))) |
(fma.f64 (-.f64 (*.f64 y -14702013702633488474276834617/3507751149643189488093755458880) (*.f64 y -937342705717422912365644116959149763360075617/188034757901510979839193143041976607183277752320)) (*.f64 z z) (fma.f64 y 279195317918525/3350343815022304 (*.f64 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 6012459259764103/3350343815022304 (-.f64 (*.f64 692910599291889/33503438150223040 y) (+.f64 (*.f64 272651677654809570312500000/10961722342634967150292985809 y) (*.f64 6012459259764103/3350343815022304 (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)))))) (*.f64 31250000000000/104698244219447 (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)))) (pow.f64 z 3))) (+.f64 (*.f64 (-.f64 (*.f64 692910599291889/33503438150223040 y) (+.f64 (*.f64 272651677654809570312500000/10961722342634967150292985809 y) (*.f64 6012459259764103/3350343815022304 (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y))))) (pow.f64 z 2)) (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)))))) |
(fma.f64 -1 (*.f64 (fma.f64 6012459259764103/3350343815022304 (-.f64 (*.f64 y 692910599291889/33503438150223040) (fma.f64 272651677654809570312500000/10961722342634967150292985809 y (*.f64 (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080) 6012459259764103/3350343815022304))) (*.f64 (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080) 31250000000000/104698244219447)) (pow.f64 z 3)) (fma.f64 (-.f64 (*.f64 y 692910599291889/33503438150223040) (fma.f64 272651677654809570312500000/10961722342634967150292985809 y (*.f64 (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080) 6012459259764103/3350343815022304))) (*.f64 z z) (fma.f64 279195317918525/3350343815022304 y (*.f64 z (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080))))) |
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(*.f64 692910599291889/10000000000000000 y) |
(*.f64 y 692910599291889/10000000000000000) |
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(pow.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 1) |
(*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(pow.f64 (sqrt.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 2) |
(*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 3) |
(*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(pow.f64 (pow.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 3) 1/3) |
(*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(sqrt.f64 (pow.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2)) |
(fabs.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))) |
(log.f64 (pow.f64 (exp.f64 y) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) |
(*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))) |
(*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(cbrt.f64 (pow.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 3)) |
(*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 3))) |
(*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 3) (pow.f64 y 3))) |
(*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) |
(*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(exp.f64 (log.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) |
(*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 1)) |
(*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(log1p.f64 (expm1.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) |
(*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(fma.f64 y (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (*.f64 y 11167812716741/40000000000000)) |
(*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(fma.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) y (*.f64 y 11167812716741/40000000000000)) |
(*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 z 692910599291889/10000000000000000))) 1) |
(*.f64 692910599291889/10000000000000000 z) |
(pow.f64 (*.f64 z 692910599291889/10000000000000000) 1) |
(*.f64 692910599291889/10000000000000000 z) |
(pow.f64 (sqrt.f64 (*.f64 z 692910599291889/10000000000000000)) 2) |
(*.f64 692910599291889/10000000000000000 z) |
(pow.f64 (cbrt.f64 (*.f64 z 692910599291889/10000000000000000)) 3) |
(*.f64 692910599291889/10000000000000000 z) |
(pow.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 z 3)) 1/3) |
(cbrt.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) |
(sqrt.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 z z))) |
(sqrt.f64 (*.f64 (*.f64 z z) 480125098611044764748221188321/100000000000000000000000000000000)) |
(sqrt.f64 (*.f64 z (*.f64 z 480125098611044764748221188321/100000000000000000000000000000000))) |
(log.f64 (pow.f64 (exp.f64 692910599291889/10000000000000000) z)) |
(*.f64 692910599291889/10000000000000000 z) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z 692910599291889/10000000000000000)))) |
(*.f64 692910599291889/10000000000000000 z) |
(cbrt.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 z 3))) |
(cbrt.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) |
(expm1.f64 (log1p.f64 (*.f64 z 692910599291889/10000000000000000))) |
(*.f64 692910599291889/10000000000000000 z) |
(exp.f64 (log.f64 (*.f64 z 692910599291889/10000000000000000))) |
(*.f64 692910599291889/10000000000000000 z) |
(exp.f64 (*.f64 (log.f64 (*.f64 z 692910599291889/10000000000000000)) 1)) |
(*.f64 692910599291889/10000000000000000 z) |
(log1p.f64 (expm1.f64 (*.f64 z 692910599291889/10000000000000000))) |
(*.f64 692910599291889/10000000000000000 z) |
(+.f64 (*.f64 z z) (*.f64 z 6012459259764103/1000000000000000)) |
(*.f64 z (+.f64 z 6012459259764103/1000000000000000)) |
(+.f64 (*.f64 z 6012459259764103/1000000000000000) (*.f64 z z)) |
(*.f64 z (+.f64 z 6012459259764103/1000000000000000)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) 1) |
(*.f64 z (+.f64 z 6012459259764103/1000000000000000)) |
(/.f64 z (/.f64 1 (+.f64 z 6012459259764103/1000000000000000))) |
(*.f64 z (+.f64 z 6012459259764103/1000000000000000)) |
(/.f64 (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000) (/.f64 (+.f64 z -6012459259764103/1000000000000000) z)) |
(/.f64 z (/.f64 (+.f64 z -6012459259764103/1000000000000000) (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000))) |
(*.f64 z (/.f64 (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000) (+.f64 z -6012459259764103/1000000000000000))) |
(/.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000))) z)) |
(/.f64 (*.f64 z (+.f64 (pow.f64 z 3) 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000)) (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)))) |
(/.f64 (fma.f64 z 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 4)) (fma.f64 z z (+.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z -6012459259764103/1000000000000000)))) |
(/.f64 (*.f64 z (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000)) (+.f64 z -6012459259764103/1000000000000000)) |
(/.f64 z (/.f64 (+.f64 z -6012459259764103/1000000000000000) (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000))) |
(*.f64 z (/.f64 (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000) (+.f64 z -6012459259764103/1000000000000000))) |
(/.f64 (*.f64 z (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3))) (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)))) |
(/.f64 (*.f64 z (+.f64 (pow.f64 z 3) 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000)) (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)))) |
(/.f64 (fma.f64 z 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 4)) (fma.f64 z z (+.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z -6012459259764103/1000000000000000)))) |
(/.f64 (*.f64 (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000) z) (+.f64 z -6012459259764103/1000000000000000)) |
(/.f64 z (/.f64 (+.f64 z -6012459259764103/1000000000000000) (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000))) |
(*.f64 z (/.f64 (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000) (+.f64 z -6012459259764103/1000000000000000))) |
(/.f64 (*.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) z) (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)))) |
(/.f64 (*.f64 z (+.f64 (pow.f64 z 3) 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000)) (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)))) |
(/.f64 (fma.f64 z 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 4)) (fma.f64 z z (+.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z -6012459259764103/1000000000000000)))) |
(pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 1) |
(*.f64 z (+.f64 z 6012459259764103/1000000000000000)) |
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 2) |
(*.f64 z (+.f64 z 6012459259764103/1000000000000000)) |
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 3) |
(*.f64 z (+.f64 z 6012459259764103/1000000000000000)) |
(pow.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3) 1/3) |
(*.f64 z (+.f64 z 6012459259764103/1000000000000000)) |
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2)) |
(fabs.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) |
(log.f64 (pow.f64 (exp.f64 (+.f64 z 6012459259764103/1000000000000000)) z)) |
(*.f64 z (+.f64 z 6012459259764103/1000000000000000)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) |
(*.f64 z (+.f64 z 6012459259764103/1000000000000000)) |
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3)) |
(*.f64 z (+.f64 z 6012459259764103/1000000000000000)) |
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) |
(*.f64 z (+.f64 z 6012459259764103/1000000000000000)) |
(exp.f64 (log.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) |
(*.f64 z (+.f64 z 6012459259764103/1000000000000000)) |
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 1)) |
(*.f64 z (+.f64 z 6012459259764103/1000000000000000)) |
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) |
(*.f64 z (+.f64 z 6012459259764103/1000000000000000)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) | |
| ✓ | 0.2b | (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x) |
| 0.2b | (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) | |
| ✓ | 14.9b | (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) |
Compiled 62 to 43 computations (30.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x) |
| 1.0ms | x | @ | 0 | (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x) |
| 0.0ms | y | @ | inf | (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x) |
| 0.0ms | y | @ | -inf | (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x) |
| 0.0ms | z | @ | inf | (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x) |
| 1× | batch-egg-rewrite |
| 1218× | associate-*r/ |
| 1058× | associate-*l/ |
| 752× | associate-/r* |
| 540× | associate-/l* |
| 364× | add-sqr-sqrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 82 |
| 1 | 362 | 82 |
| 2 | 4331 | 82 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) |
(fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x) |
| Outputs |
|---|
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104698244219447/31250000000000)) y x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 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| 1× | egg-herbie |
| 1156× | distribute-lft-in |
| 1100× | distribute-rgt-in |
| 972× | associate-*r/ |
| 844× | *-commutative |
| 758× | associate-/l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 257 | 6670 |
| 1 | 684 | 6592 |
| 2 | 2540 | 5368 |
| 1× | node limit |
| Inputs |
|---|
279195317918525/3350343815022304 |
(+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) |
(+.f64 279195317918525/3350343815022304 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2)))) |
(+.f64 279195317918525/3350343815022304 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 3)) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2))))) |
692910599291889/10000000000000000 |
(+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) |
(-.f64 (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) (*.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2)))) |
(-.f64 (+.f64 692910599291889/10000000000000000 (+.f64 (*.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) (*.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2)))) |
692910599291889/10000000000000000 |
(+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) |
(-.f64 (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) (*.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2)))) |
(-.f64 (+.f64 692910599291889/10000000000000000 (+.f64 (*.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) (*.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2)))) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x)) |
(+.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x))) |
(+.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) (+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (*.f64 y (pow.f64 z 3))) x)))) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)) |
(+.f64 (*.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))) |
(+.f64 (*.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)))) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)) |
(+.f64 (*.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))) |
(+.f64 (*.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)))) |
x |
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y) x) |
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y) x) |
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y) x) |
(*.f64 (+.f64 (/.f64 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y) |
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y) x) |
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y) x) |
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y) x) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
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(*.f64 (sqrt.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x))) |
(*.f64 (cbrt.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)) 2) (cbrt.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) (*.f64 x x)) (-.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) x)) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 3)) (-.f64 (+.f64 (*.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) x))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) (*.f64 x x))) (-.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) x)) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 3))) (-.f64 (+.f64 (*.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) x))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) (*.f64 x x)) 1) (-.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) x)) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 3)) 1) (-.f64 (+.f64 (*.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) x))) |
(pow.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x) 1) |
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)) 3) |
(pow.f64 (pow.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x) 2)) |
(log.f64 (exp.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)))) |
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x))) |
(exp.f64 (log.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x))) |
| Outputs |
|---|
279195317918525/3350343815022304 |
(+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) |
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) |
(+.f64 279195317918525/3350343815022304 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2)))) |
(+.f64 279195317918525/3350343815022304 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z z)))) |
(+.f64 279195317918525/3350343815022304 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z (*.f64 z (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)))) |
(+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)))) |
(+.f64 279195317918525/3350343815022304 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 3)) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2))))) |
(+.f64 279195317918525/3350343815022304 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z (fma.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 3) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z z))))) |
(+.f64 279195317918525/3350343815022304 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z z) (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 3))))) |
(+.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) (*.f64 (*.f64 z z) (+.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280)))) |
692910599291889/10000000000000000 |
(+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) |
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) |
(-.f64 (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) (*.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2)))) |
(-.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z))) |
(+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (-.f64 692910599291889/10000000000000000 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z)))) |
(+.f64 692910599291889/10000000000000000 (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (/.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z)))) |
(-.f64 (+.f64 692910599291889/10000000000000000 (+.f64 (*.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) (*.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2)))) |
(+.f64 692910599291889/10000000000000000 (-.f64 (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (/.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3))) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z)))) |
(+.f64 (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (+.f64 692910599291889/10000000000000000 (/.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3)))) (/.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z))) |
(+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (-.f64 (+.f64 692910599291889/10000000000000000 (/.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3))) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z)))) |
692910599291889/10000000000000000 |
(+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) |
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) |
(-.f64 (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) (*.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2)))) |
(-.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z))) |
(+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (-.f64 692910599291889/10000000000000000 (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z)))) |
(+.f64 692910599291889/10000000000000000 (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (/.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z)))) |
(-.f64 (+.f64 692910599291889/10000000000000000 (+.f64 (*.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) (*.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2)))) |
(+.f64 692910599291889/10000000000000000 (-.f64 (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (/.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3))) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z)))) |
(+.f64 (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (+.f64 692910599291889/10000000000000000 (/.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3)))) (/.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z))) |
(+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (-.f64 (+.f64 692910599291889/10000000000000000 (/.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3))) (/.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (*.f64 z z)))) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(fma.f64 279195317918525/3350343815022304 y x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x)) |
(fma.f64 279195317918525/3350343815022304 y (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) x)) |
(+.f64 x (*.f64 y (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304))) |
(+.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x))) |
(fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 (*.f64 z z) y) (fma.f64 279195317918525/3350343815022304 y (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) x))) |
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(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 3) (pow.f64 x 3)) (fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) (*.f64 x (-.f64 x (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (neg.f64 x))))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) (*.f64 x x))) (-.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) x)) |
(/.f64 (*.f64 (fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) (fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (neg.f64 x))) (fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (neg.f64 x))) |
(/.f64 (fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) (/.f64 (fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (neg.f64 x)) (fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2) (*.f64 y y)) (*.f64 x x)) (fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (neg.f64 x))) |
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(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 3)) (-.f64 (fma.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (*.f64 x x)) (*.f64 x (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 3) (pow.f64 x 3)) (fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) (*.f64 x (-.f64 x (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (neg.f64 x))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) (*.f64 x x)) 1) (-.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) x)) |
(/.f64 (*.f64 (fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) (fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (neg.f64 x))) (fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (neg.f64 x))) |
(/.f64 (fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) (/.f64 (fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (neg.f64 x)) (fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2) (*.f64 y y)) (*.f64 x x)) (fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (neg.f64 x))) |
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(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 3) (pow.f64 x 3)) (fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) (*.f64 x (-.f64 x (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (neg.f64 x))))) |
(pow.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x) 1) |
(fma.f64 (+.f64 (/.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) z)) (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) y x) |
(fma.f64 y (+.f64 (*.f64 (/.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z) (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) x) |
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) |
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)) 2) |
(fma.f64 (+.f64 (/.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) z)) (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) y x) |
(fma.f64 y (+.f64 (*.f64 (/.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z) (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) x) |
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) |
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)) 3) |
(fma.f64 (+.f64 (/.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) z)) (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) y x) |
(fma.f64 y (+.f64 (*.f64 (/.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z) (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) x) |
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) |
(pow.f64 (pow.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x) 3) 1/3) |
(fma.f64 (+.f64 (/.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) z)) (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) y x) |
(fma.f64 y (+.f64 (*.f64 (/.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z) (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) x) |
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) |
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x) 2)) |
(fabs.f64 (fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)) |
(log.f64 (exp.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x))) |
(fma.f64 (+.f64 (/.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) z)) (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) y x) |
(fma.f64 y (+.f64 (*.f64 (/.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z) (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) x) |
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)))) |
(fma.f64 (+.f64 (/.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) z)) (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) y x) |
(fma.f64 y (+.f64 (*.f64 (/.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z) (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) x) |
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) |
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x) 3)) |
(fma.f64 (+.f64 (/.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) z)) (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) y x) |
(fma.f64 y (+.f64 (*.f64 (/.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z) (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) x) |
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) |
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x))) |
(fma.f64 (+.f64 (/.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) z)) (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) y x) |
(fma.f64 y (+.f64 (*.f64 (/.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z) (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) x) |
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) |
(exp.f64 (log.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x))) |
(fma.f64 (+.f64 (/.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) z)) (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) y x) |
(fma.f64 y (+.f64 (*.f64 (/.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z) (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) x) |
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)) 1)) |
(fma.f64 (+.f64 (/.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) z)) (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) y x) |
(fma.f64 y (+.f64 (*.f64 (/.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z) (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) x) |
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) |
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x))) |
(fma.f64 (+.f64 (/.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) z)) (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) y x) |
(fma.f64 y (+.f64 (*.f64 (/.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z) (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) x) |
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) |
Compiled 30150 to 20937 computations (30.6% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1110 | 14 | 1124 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 0 | 3 |
| Total | 1114 | 14 | 1128 |
| Status | Error | Program |
|---|---|---|
| 43.5b | (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) | |
| ▶ | 26.1b | (+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x)) |
| 16.2b | (+.f64 (*.f64 279195317918525/3350343815022304 y) x) | |
| 24.2b | (+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)) | |
| 12.1b | (+.f64 (*.f64 692910599291889/10000000000000000 y) x) | |
| ▶ | 20.4b | (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (/.f64 z (/.f64 1 (+.f64 z 6012459259764103/1000000000000000))) 104698244219447/31250000000000))) |
| 36.1b | (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (exp.f64 (log.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) 104698244219447/31250000000000))) | |
| 21.7b | (+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (/.f64 (+.f64 29028515918677826297037119458939297513676367/244140625000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) (+.f64 (*.f64 (*.f64 z z) 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 z 212953843275265618747988030847/6250000000000000000000000000000)))) z 11167812716741/40000000000000)))) | |
| 14.5b | (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) | |
| 14.3b | (+.f64 x (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))) | |
| ▶ | 19.3b | (+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) |
| ▶ | 12.0b | (+.f64 x (/.f64 y 10000000000000000/692910599291889)) |
| ▶ | 16.1b | (+.f64 x (/.f64 y 3350343815022304/279195317918525)) |
| 33.3b | x |
Compiled 428 to 321 computations (25% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x (/.f64 y 10000000000000000/692910599291889)) |
| ✓ | 0.1b | (/.f64 y 10000000000000000/692910599291889) |
Compiled 14 to 9 computations (35.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | -inf | (/.f64 y 10000000000000000/692910599291889) |
| 0.0ms | y | @ | inf | (/.f64 y 10000000000000000/692910599291889) |
| 0.0ms | y | @ | 0 | (/.f64 y 10000000000000000/692910599291889) |
| 0.0ms | x | @ | 0 | (+.f64 x (/.f64 y 10000000000000000/692910599291889)) |
| 0.0ms | y | @ | inf | (+.f64 x (/.f64 y 10000000000000000/692910599291889)) |
| 1× | batch-egg-rewrite |
| 1718× | add-sqr-sqrt |
| 1682× | *-un-lft-identity |
| 1592× | add-cube-cbrt |
| 1578× | add-cbrt-cube |
| 156× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 1 | 158 | 16 |
| 2 | 2090 | 16 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y 10000000000000000/692910599291889) |
(+.f64 x (/.f64 y 10000000000000000/692910599291889)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y 692910599291889/10000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y 692910599291889/10000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 692910599291889/10000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y 692910599291889/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) 692910599291889/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) 692910599291889/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) (pow.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) 2) (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 692910599291889/10000000000000000 y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) -692910599291889/10000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y 692910599291889/10000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 10000000000000000/692910599291889 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y -10000000000000000/692910599291889))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 y 692910599291889/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y 692910599291889/10000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y 692910599291889/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y 692910599291889/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y 692910599291889/10000000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y 692910599291889/10000000000000000))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y 692910599291889/10000000000000000))) (/.f64 (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 x (*.f64 y 692910599291889/10000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y 692910599291889/10000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000)) (/.f64 1 (-.f64 x (*.f64 y 692910599291889/10000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y 692910599291889/10000000000000000) (-.f64 (*.f64 y 692910599291889/10000000000000000) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 y 692910599291889/10000000000000000)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y 692910599291889/10000000000000000) (-.f64 (*.f64 y 692910599291889/10000000000000000) x))) (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 x (*.f64 y 692910599291889/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) (fma.f64 x x (*.f64 (*.f64 y 692910599291889/10000000000000000) (-.f64 (*.f64 y 692910599291889/10000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) (+.f64 (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 (*.f64 x x) (*.f64 (*.f64 y 692910599291889/10000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (*.f64 x x)) (-.f64 (*.f64 y 692910599291889/10000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000))) (neg.f64 (-.f64 x (*.f64 y 692910599291889/10000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y 692910599291889/10000000000000000) (-.f64 (*.f64 y 692910599291889/10000000000000000) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y 692910599291889/10000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 692910599291889/10000000000000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y 692910599291889/10000000000000000) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y 692910599291889/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 692910599291889/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 y 692910599291889/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) 2) (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) x))))) |
| 1× | egg-herbie |
| 1328× | associate-+l+ |
| 798× | associate-*r/ |
| 572× | associate-*l/ |
| 562× | +-commutative |
| 484× | distribute-lft-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 138 | 1343 |
| 1 | 306 | 1269 |
| 2 | 1188 | 1225 |
| 3 | 4899 | 1225 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 692910599291889/10000000000000000 y) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
x |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
x |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
x |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(*.f64 692910599291889/10000000000000000 y) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(*.f64 692910599291889/10000000000000000 y) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 y 692910599291889/10000000000000000))) 1) |
(*.f64 y 692910599291889/10000000000000000) |
(*.f64 (*.f64 y 692910599291889/10000000000000000) 1) |
(*.f64 1 (*.f64 y 692910599291889/10000000000000000)) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) 692910599291889/10000000000000000)) |
(*.f64 (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) (sqrt.f64 (*.f64 y 692910599291889/10000000000000000))) |
(*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) 692910599291889/10000000000000000)) |
(*.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) (pow.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) 2) (cbrt.f64 (*.f64 y 692910599291889/10000000000000000))) |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 (neg.f64 y) -692910599291889/10000000000000000) |
(pow.f64 (*.f64 y 692910599291889/10000000000000000) 1) |
(pow.f64 (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) 2) |
(pow.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) 3) |
(pow.f64 (/.f64 10000000000000000/692910599291889 y) -1) |
(pow.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 1/3) |
(neg.f64 (/.f64 y -10000000000000000/692910599291889)) |
(sqrt.f64 (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000)) |
(log.f64 (exp.f64 (*.f64 y 692910599291889/10000000000000000))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y 692910599291889/10000000000000000)))) |
(cbrt.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) |
(expm1.f64 (log1p.f64 (*.f64 y 692910599291889/10000000000000000))) |
(exp.f64 (log.f64 (*.f64 y 692910599291889/10000000000000000))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y 692910599291889/10000000000000000)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 y 692910599291889/10000000000000000))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 1) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y 692910599291889/10000000000000000))) (/.f64 (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 x (*.f64 y 692910599291889/10000000000000000)))) |
(*.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1) |
(*.f64 1 (fma.f64 y 692910599291889/10000000000000000 x)) |
(*.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) |
(*.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000)) (/.f64 1 (-.f64 x (*.f64 y 692910599291889/10000000000000000)))) |
(*.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y 692910599291889/10000000000000000) (-.f64 (*.f64 y 692910599291889/10000000000000000) x))))) |
(/.f64 1 (/.f64 (-.f64 x (*.f64 y 692910599291889/10000000000000000)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000)))) |
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y 692910599291889/10000000000000000) (-.f64 (*.f64 y 692910599291889/10000000000000000) x))) (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 x (*.f64 y 692910599291889/10000000000000000))) |
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) (fma.f64 x x (*.f64 (*.f64 y 692910599291889/10000000000000000) (-.f64 (*.f64 y 692910599291889/10000000000000000) x)))) |
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) (+.f64 (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 (*.f64 x x) (*.f64 (*.f64 y 692910599291889/10000000000000000) x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (*.f64 x x)) (-.f64 (*.f64 y 692910599291889/10000000000000000) x)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000))) (neg.f64 (-.f64 x (*.f64 y 692910599291889/10000000000000000)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y 692910599291889/10000000000000000) (-.f64 (*.f64 y 692910599291889/10000000000000000) x))))) |
(pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1) |
(pow.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 3) |
(pow.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 2)) |
(log.f64 (exp.f64 (fma.f64 y 692910599291889/10000000000000000 x))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y 692910599291889/10000000000000000 x)))) |
(cbrt.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 y 692910599291889/10000000000000000 x))) |
(exp.f64 (log.f64 (fma.f64 y 692910599291889/10000000000000000 x))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 y 692910599291889/10000000000000000 x))) |
(fma.f64 y 692910599291889/10000000000000000 x) |
(fma.f64 1 (*.f64 y 692910599291889/10000000000000000) x) |
(fma.f64 1 x (*.f64 y 692910599291889/10000000000000000)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 692910599291889/10000000000000000)) |
(fma.f64 (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) x) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 y 692910599291889/10000000000000000)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) 2) (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) x) |
| Outputs |
|---|
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 692910599291889/10000000000000000 y) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
x |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
x |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
x |
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(expm1.f64 (log1p.f64 (*.f64 y 692910599291889/10000000000000000))) |
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(exp.f64 (log.f64 (*.f64 y 692910599291889/10000000000000000))) |
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(log1p.f64 (expm1.f64 (*.f64 y 692910599291889/10000000000000000))) |
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(-.f64 (exp.f64 (log1p.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 1) |
(fma.f64 692910599291889/10000000000000000 y x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y 692910599291889/10000000000000000))) (/.f64 (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 x (*.f64 y 692910599291889/10000000000000000)))) |
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(*.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1) |
(fma.f64 692910599291889/10000000000000000 y x) |
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(fma.f64 692910599291889/10000000000000000 y x) |
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(fma.f64 692910599291889/10000000000000000 y x) |
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(fma.f64 692910599291889/10000000000000000 y x) |
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(fma.f64 692910599291889/10000000000000000 y x) |
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(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))) (-.f64 x (*.f64 692910599291889/10000000000000000 y))) |
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(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 y (*.f64 692910599291889/10000000000000000 (-.f64 (*.f64 692910599291889/10000000000000000 y) x))))) |
(/.f64 (fma.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 x x (*.f64 y (*.f64 692910599291889/10000000000000000 (-.f64 (*.f64 692910599291889/10000000000000000 y) x))))) |
(/.f64 (fma.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000) (*.f64 x (fma.f64 y -692910599291889/10000000000000000 x)))) |
(/.f64 1 (/.f64 (-.f64 x (*.f64 y 692910599291889/10000000000000000)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))) (-.f64 x (*.f64 692910599291889/10000000000000000 y))) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 x (*.f64 692910599291889/10000000000000000 y))) |
(/.f64 (fma.f64 (*.f64 y y) -480125098611044764748221188321/100000000000000000000000000000000 (*.f64 x x)) (fma.f64 y -692910599291889/10000000000000000 x)) |
(/.f64 (fma.f64 y (*.f64 y -480125098611044764748221188321/100000000000000000000000000000000) (*.f64 x x)) (fma.f64 y -692910599291889/10000000000000000 x)) |
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(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 y (*.f64 692910599291889/10000000000000000 (-.f64 (*.f64 692910599291889/10000000000000000 y) x))))) |
(/.f64 (fma.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 x x (*.f64 y (*.f64 692910599291889/10000000000000000 (-.f64 (*.f64 692910599291889/10000000000000000 y) x))))) |
(/.f64 (fma.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000) (*.f64 x (fma.f64 y -692910599291889/10000000000000000 x)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 x (*.f64 y 692910599291889/10000000000000000))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))) (-.f64 x (*.f64 692910599291889/10000000000000000 y))) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 x (*.f64 692910599291889/10000000000000000 y))) |
(/.f64 (fma.f64 (*.f64 y y) -480125098611044764748221188321/100000000000000000000000000000000 (*.f64 x x)) (fma.f64 y -692910599291889/10000000000000000 x)) |
(/.f64 (fma.f64 y (*.f64 y -480125098611044764748221188321/100000000000000000000000000000000) (*.f64 x x)) (fma.f64 y -692910599291889/10000000000000000 x)) |
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(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 y (*.f64 692910599291889/10000000000000000 (-.f64 (*.f64 692910599291889/10000000000000000 y) x))))) |
(/.f64 (fma.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 x x (*.f64 y (*.f64 692910599291889/10000000000000000 (-.f64 (*.f64 692910599291889/10000000000000000 y) x))))) |
(/.f64 (fma.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000) (*.f64 x (fma.f64 y -692910599291889/10000000000000000 x)))) |
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) (+.f64 (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 (*.f64 x x) (*.f64 (*.f64 y 692910599291889/10000000000000000) x)))) |
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 y (*.f64 692910599291889/10000000000000000 (-.f64 (*.f64 692910599291889/10000000000000000 y) x))))) |
(/.f64 (fma.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 x x (*.f64 y (*.f64 692910599291889/10000000000000000 (-.f64 (*.f64 692910599291889/10000000000000000 y) x))))) |
(/.f64 (fma.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000) (*.f64 x (fma.f64 y -692910599291889/10000000000000000 x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (*.f64 x x)) (-.f64 (*.f64 y 692910599291889/10000000000000000) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))) (-.f64 x (*.f64 692910599291889/10000000000000000 y))) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 x (*.f64 692910599291889/10000000000000000 y))) |
(/.f64 (fma.f64 (*.f64 y y) -480125098611044764748221188321/100000000000000000000000000000000 (*.f64 x x)) (fma.f64 y -692910599291889/10000000000000000 x)) |
(/.f64 (fma.f64 y (*.f64 y -480125098611044764748221188321/100000000000000000000000000000000) (*.f64 x x)) (fma.f64 y -692910599291889/10000000000000000 x)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000))) (neg.f64 (-.f64 x (*.f64 y 692910599291889/10000000000000000)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))) (-.f64 x (*.f64 692910599291889/10000000000000000 y))) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 x (*.f64 692910599291889/10000000000000000 y))) |
(/.f64 (fma.f64 (*.f64 y y) -480125098611044764748221188321/100000000000000000000000000000000 (*.f64 x x)) (fma.f64 y -692910599291889/10000000000000000 x)) |
(/.f64 (fma.f64 y (*.f64 y -480125098611044764748221188321/100000000000000000000000000000000) (*.f64 x x)) (fma.f64 y -692910599291889/10000000000000000 x)) |
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(/.f64 (fma.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 x x (*.f64 y (*.f64 692910599291889/10000000000000000 (-.f64 (*.f64 692910599291889/10000000000000000 y) x))))) |
(/.f64 (fma.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000) (*.f64 x (fma.f64 y -692910599291889/10000000000000000 x)))) |
(pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1) |
(fma.f64 692910599291889/10000000000000000 y x) |
(pow.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2) |
(fma.f64 692910599291889/10000000000000000 y x) |
(pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 3) |
(fma.f64 692910599291889/10000000000000000 y x) |
(pow.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 3) 1/3) |
(fma.f64 692910599291889/10000000000000000 y x) |
(sqrt.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 2)) |
(fma.f64 692910599291889/10000000000000000 y x) |
(log.f64 (exp.f64 (fma.f64 y 692910599291889/10000000000000000 x))) |
(fma.f64 692910599291889/10000000000000000 y x) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y 692910599291889/10000000000000000 x)))) |
(fma.f64 692910599291889/10000000000000000 y x) |
(cbrt.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 3)) |
(fma.f64 692910599291889/10000000000000000 y x) |
(expm1.f64 (log1p.f64 (fma.f64 y 692910599291889/10000000000000000 x))) |
(fma.f64 692910599291889/10000000000000000 y x) |
(exp.f64 (log.f64 (fma.f64 y 692910599291889/10000000000000000 x))) |
(fma.f64 692910599291889/10000000000000000 y x) |
(exp.f64 (*.f64 (log.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 1)) |
(fma.f64 692910599291889/10000000000000000 y x) |
(log1p.f64 (expm1.f64 (fma.f64 y 692910599291889/10000000000000000 x))) |
(fma.f64 692910599291889/10000000000000000 y x) |
(fma.f64 y 692910599291889/10000000000000000 x) |
(fma.f64 692910599291889/10000000000000000 y x) |
(fma.f64 1 (*.f64 y 692910599291889/10000000000000000) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
(fma.f64 1 x (*.f64 y 692910599291889/10000000000000000)) |
(fma.f64 692910599291889/10000000000000000 y x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 692910599291889/10000000000000000)) |
(fma.f64 692910599291889/10000000000000000 y x) |
(fma.f64 (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 y 692910599291889/10000000000000000)) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 692910599291889/10000000000000000 y)) |
(fma.f64 692910599291889/10000000000000000 y (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) 2) (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x (/.f64 y 3350343815022304/279195317918525)) |
| ✓ | 0.1b | (/.f64 y 3350343815022304/279195317918525) |
Compiled 14 to 9 computations (35.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | (+.f64 x (/.f64 y 3350343815022304/279195317918525)) |
| 0.0ms | y | @ | inf | (/.f64 y 3350343815022304/279195317918525) |
| 0.0ms | y | @ | -inf | (/.f64 y 3350343815022304/279195317918525) |
| 0.0ms | y | @ | 0 | (/.f64 y 3350343815022304/279195317918525) |
| 0.0ms | x | @ | 0 | (+.f64 x (/.f64 y 3350343815022304/279195317918525)) |
| 1× | batch-egg-rewrite |
| 1718× | add-sqr-sqrt |
| 1682× | *-un-lft-identity |
| 1592× | add-cube-cbrt |
| 1578× | add-cbrt-cube |
| 156× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 1 | 158 | 16 |
| 2 | 2090 | 16 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y 3350343815022304/279195317918525) |
(+.f64 x (/.f64 y 3350343815022304/279195317918525)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y 279195317918525/3350343815022304))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y 279195317918525/3350343815022304)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 279195317918525/3350343815022304) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y 279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) 279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) 279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) (pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2) (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 279195317918525/3350343815022304 y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) -279195317918525/3350343815022304)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y 279195317918525/3350343815022304) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3350343815022304/279195317918525 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y -3350343815022304/279195317918525))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 y 279195317918525/3350343815022304)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y 279195317918525/3350343815022304))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y 279195317918525/3350343815022304)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y 279195317918525/3350343815022304)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y 279195317918525/3350343815022304)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y 279195317918525/3350343815022304))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y 279195317918525/3350343815022304 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y 279195317918525/3350343815022304))) (/.f64 (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416) (-.f64 x (*.f64 y 279195317918525/3350343815022304))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y 279195317918525/3350343815022304 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y 279195317918525/3350343815022304 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) (pow.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 2) (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416)) (/.f64 1 (-.f64 x (*.f64 y 279195317918525/3350343815022304))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y 279195317918525/3350343815022304) (-.f64 (*.f64 y 279195317918525/3350343815022304) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 y 279195317918525/3350343815022304)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y 279195317918525/3350343815022304) (-.f64 (*.f64 y 279195317918525/3350343815022304) x))) (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416)) (-.f64 x (*.f64 y 279195317918525/3350343815022304)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) (fma.f64 x x (*.f64 (*.f64 y 279195317918525/3350343815022304) (-.f64 (*.f64 y 279195317918525/3350343815022304) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) (+.f64 (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416) (-.f64 (*.f64 x x) (*.f64 (*.f64 y 279195317918525/3350343815022304) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416) (*.f64 x x)) (-.f64 (*.f64 y 279195317918525/3350343815022304) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416))) (neg.f64 (-.f64 x (*.f64 y 279195317918525/3350343815022304))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y 279195317918525/3350343815022304) (-.f64 (*.f64 y 279195317918525/3350343815022304) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y 279195317918525/3350343815022304 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y 279195317918525/3350343815022304 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y 279195317918525/3350343815022304 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y 279195317918525/3350343815022304 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y 279195317918525/3350343815022304 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y 279195317918525/3350343815022304 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y 279195317918525/3350343815022304 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y 279195317918525/3350343815022304 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y 279195317918525/3350343815022304 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 279195317918525/3350343815022304 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y 279195317918525/3350343815022304) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y 279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 y 279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2) (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) x))))) |
| 1× | egg-herbie |
| 1328× | associate-+l+ |
| 798× | associate-*r/ |
| 572× | associate-*l/ |
| 562× | +-commutative |
| 484× | distribute-lft-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 138 | 1343 |
| 1 | 306 | 1269 |
| 2 | 1188 | 1225 |
| 3 | 4899 | 1225 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
x |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
x |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
x |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(*.f64 279195317918525/3350343815022304 y) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(*.f64 279195317918525/3350343815022304 y) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 y 279195317918525/3350343815022304))) 1) |
(*.f64 y 279195317918525/3350343815022304) |
(*.f64 (*.f64 y 279195317918525/3350343815022304) 1) |
(*.f64 1 (*.f64 y 279195317918525/3350343815022304)) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) 279195317918525/3350343815022304)) |
(*.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) (sqrt.f64 (*.f64 y 279195317918525/3350343815022304))) |
(*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) 279195317918525/3350343815022304)) |
(*.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) (pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2) (cbrt.f64 (*.f64 y 279195317918525/3350343815022304))) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 (neg.f64 y) -279195317918525/3350343815022304) |
(pow.f64 (*.f64 y 279195317918525/3350343815022304) 1) |
(pow.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2) |
(pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 3) |
(pow.f64 (/.f64 3350343815022304/279195317918525 y) -1) |
(pow.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) 1/3) |
(neg.f64 (/.f64 y -3350343815022304/279195317918525)) |
(sqrt.f64 (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416)) |
(log.f64 (exp.f64 (*.f64 y 279195317918525/3350343815022304))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y 279195317918525/3350343815022304)))) |
(cbrt.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) |
(expm1.f64 (log1p.f64 (*.f64 y 279195317918525/3350343815022304))) |
(exp.f64 (log.f64 (*.f64 y 279195317918525/3350343815022304))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y 279195317918525/3350343815022304)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 y 279195317918525/3350343815022304))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y 279195317918525/3350343815022304 x))) 1) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y 279195317918525/3350343815022304))) (/.f64 (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416) (-.f64 x (*.f64 y 279195317918525/3350343815022304)))) |
(*.f64 (fma.f64 y 279195317918525/3350343815022304 x) 1) |
(*.f64 1 (fma.f64 y 279195317918525/3350343815022304 x)) |
(*.f64 (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 x))) |
(*.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) (pow.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 2) (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416)) (/.f64 1 (-.f64 x (*.f64 y 279195317918525/3350343815022304)))) |
(*.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y 279195317918525/3350343815022304) (-.f64 (*.f64 y 279195317918525/3350343815022304) x))))) |
(/.f64 1 (/.f64 (-.f64 x (*.f64 y 279195317918525/3350343815022304)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416)))) |
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y 279195317918525/3350343815022304) (-.f64 (*.f64 y 279195317918525/3350343815022304) x))) (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416)) (-.f64 x (*.f64 y 279195317918525/3350343815022304))) |
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) (fma.f64 x x (*.f64 (*.f64 y 279195317918525/3350343815022304) (-.f64 (*.f64 y 279195317918525/3350343815022304) x)))) |
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) (+.f64 (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416) (-.f64 (*.f64 x x) (*.f64 (*.f64 y 279195317918525/3350343815022304) x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416) (*.f64 x x)) (-.f64 (*.f64 y 279195317918525/3350343815022304) x)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416))) (neg.f64 (-.f64 x (*.f64 y 279195317918525/3350343815022304)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y 279195317918525/3350343815022304) (-.f64 (*.f64 y 279195317918525/3350343815022304) x))))) |
(pow.f64 (fma.f64 y 279195317918525/3350343815022304 x) 1) |
(pow.f64 (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 3) |
(pow.f64 (pow.f64 (fma.f64 y 279195317918525/3350343815022304 x) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 y 279195317918525/3350343815022304 x) 2)) |
(log.f64 (exp.f64 (fma.f64 y 279195317918525/3350343815022304 x))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y 279195317918525/3350343815022304 x)))) |
(cbrt.f64 (pow.f64 (fma.f64 y 279195317918525/3350343815022304 x) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 y 279195317918525/3350343815022304 x))) |
(exp.f64 (log.f64 (fma.f64 y 279195317918525/3350343815022304 x))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 y 279195317918525/3350343815022304 x))) |
(fma.f64 y 279195317918525/3350343815022304 x) |
(fma.f64 1 (*.f64 y 279195317918525/3350343815022304) x) |
(fma.f64 1 x (*.f64 y 279195317918525/3350343815022304)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 279195317918525/3350343815022304)) |
(fma.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) x) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 y 279195317918525/3350343815022304)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2) (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) x) |
| Outputs |
|---|
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(fma.f64 279195317918525/3350343815022304 y x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(fma.f64 279195317918525/3350343815022304 y x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(fma.f64 279195317918525/3350343815022304 y x) |
x |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(fma.f64 279195317918525/3350343815022304 y x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(fma.f64 279195317918525/3350343815022304 y x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(fma.f64 279195317918525/3350343815022304 y x) |
x |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(fma.f64 279195317918525/3350343815022304 y x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(fma.f64 279195317918525/3350343815022304 y x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(fma.f64 279195317918525/3350343815022304 y x) |
x |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(fma.f64 279195317918525/3350343815022304 y x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(fma.f64 279195317918525/3350343815022304 y x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(fma.f64 279195317918525/3350343815022304 y x) |
(*.f64 279195317918525/3350343815022304 y) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(fma.f64 279195317918525/3350343815022304 y x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(fma.f64 279195317918525/3350343815022304 y x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(fma.f64 279195317918525/3350343815022304 y x) |
(*.f64 279195317918525/3350343815022304 y) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(fma.f64 279195317918525/3350343815022304 y x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(fma.f64 279195317918525/3350343815022304 y x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(fma.f64 279195317918525/3350343815022304 y x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 y 279195317918525/3350343815022304))) 1) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 y 279195317918525/3350343815022304) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 (*.f64 y 279195317918525/3350343815022304) 1) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 1 (*.f64 y 279195317918525/3350343815022304)) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) 279195317918525/3350343815022304)) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) (sqrt.f64 (*.f64 y 279195317918525/3350343815022304))) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) 279195317918525/3350343815022304)) |
(*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 279195317918525/3350343815022304 (cbrt.f64 y))) |
(*.f64 279195317918525/3350343815022304 (*.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 y))) |
(*.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) (pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2)) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2) (cbrt.f64 (*.f64 y 279195317918525/3350343815022304))) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 (neg.f64 y) -279195317918525/3350343815022304) |
(*.f64 279195317918525/3350343815022304 y) |
(pow.f64 (*.f64 y 279195317918525/3350343815022304) 1) |
(*.f64 279195317918525/3350343815022304 y) |
(pow.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2) |
(*.f64 279195317918525/3350343815022304 y) |
(pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 3) |
(*.f64 279195317918525/3350343815022304 y) |
(pow.f64 (/.f64 3350343815022304/279195317918525 y) -1) |
(*.f64 279195317918525/3350343815022304 y) |
(pow.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) 1/3) |
(cbrt.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) |
(neg.f64 (/.f64 y -3350343815022304/279195317918525)) |
(*.f64 279195317918525/3350343815022304 y) |
(sqrt.f64 (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416)) |
(sqrt.f64 (*.f64 y (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416))) |
(log.f64 (exp.f64 (*.f64 y 279195317918525/3350343815022304))) |
(*.f64 279195317918525/3350343815022304 y) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y 279195317918525/3350343815022304)))) |
(*.f64 279195317918525/3350343815022304 y) |
(cbrt.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) |
(expm1.f64 (log1p.f64 (*.f64 y 279195317918525/3350343815022304))) |
(*.f64 279195317918525/3350343815022304 y) |
(exp.f64 (log.f64 (*.f64 y 279195317918525/3350343815022304))) |
(*.f64 279195317918525/3350343815022304 y) |
(exp.f64 (*.f64 (log.f64 (*.f64 y 279195317918525/3350343815022304)) 1)) |
(*.f64 279195317918525/3350343815022304 y) |
(log1p.f64 (expm1.f64 (*.f64 y 279195317918525/3350343815022304))) |
(*.f64 279195317918525/3350343815022304 y) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y 279195317918525/3350343815022304 x))) 1) |
(fma.f64 279195317918525/3350343815022304 y x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y 279195317918525/3350343815022304))) (/.f64 (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416) (-.f64 x (*.f64 y 279195317918525/3350343815022304)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416))) (-.f64 x (*.f64 279195317918525/3350343815022304 y))) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -77950025547626246938538175625/11224803678858206361900017468416)) (-.f64 x (*.f64 279195317918525/3350343815022304 y))) |
(/.f64 (fma.f64 (*.f64 y y) -77950025547626246938538175625/11224803678858206361900017468416 (*.f64 x x)) (fma.f64 y -279195317918525/3350343815022304 x)) |
(/.f64 (fma.f64 y (*.f64 y -77950025547626246938538175625/11224803678858206361900017468416) (*.f64 x x)) (fma.f64 y -279195317918525/3350343815022304 x)) |
(*.f64 (fma.f64 y 279195317918525/3350343815022304 x) 1) |
(fma.f64 279195317918525/3350343815022304 y x) |
(*.f64 1 (fma.f64 y 279195317918525/3350343815022304 x)) |
(fma.f64 279195317918525/3350343815022304 y x) |
(*.f64 (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 x))) |
(fma.f64 279195317918525/3350343815022304 y x) |
(*.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) (pow.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 2)) |
(fma.f64 279195317918525/3350343815022304 y x) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 2) (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x))) |
(fma.f64 279195317918525/3350343815022304 y x) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416)) (/.f64 1 (-.f64 x (*.f64 y 279195317918525/3350343815022304)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416))) (-.f64 x (*.f64 279195317918525/3350343815022304 y))) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -77950025547626246938538175625/11224803678858206361900017468416)) (-.f64 x (*.f64 279195317918525/3350343815022304 y))) |
(/.f64 (fma.f64 (*.f64 y y) -77950025547626246938538175625/11224803678858206361900017468416 (*.f64 x x)) (fma.f64 y -279195317918525/3350343815022304 x)) |
(/.f64 (fma.f64 y (*.f64 y -77950025547626246938538175625/11224803678858206361900017468416) (*.f64 x x)) (fma.f64 y -279195317918525/3350343815022304 x)) |
(*.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y 279195317918525/3350343815022304) (-.f64 (*.f64 y 279195317918525/3350343815022304) x))))) |
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 y (*.f64 279195317918525/3350343815022304 (-.f64 (*.f64 279195317918525/3350343815022304 y) x))))) |
(/.f64 (fma.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 x 3)) (fma.f64 x x (*.f64 y (*.f64 279195317918525/3350343815022304 (-.f64 (*.f64 279195317918525/3350343815022304 y) x))))) |
(/.f64 (fma.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 x 3)) (fma.f64 y (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416) (*.f64 x (fma.f64 y -279195317918525/3350343815022304 x)))) |
(/.f64 1 (/.f64 (-.f64 x (*.f64 y 279195317918525/3350343815022304)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416))) (-.f64 x (*.f64 279195317918525/3350343815022304 y))) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -77950025547626246938538175625/11224803678858206361900017468416)) (-.f64 x (*.f64 279195317918525/3350343815022304 y))) |
(/.f64 (fma.f64 (*.f64 y y) -77950025547626246938538175625/11224803678858206361900017468416 (*.f64 x x)) (fma.f64 y -279195317918525/3350343815022304 x)) |
(/.f64 (fma.f64 y (*.f64 y -77950025547626246938538175625/11224803678858206361900017468416) (*.f64 x x)) (fma.f64 y -279195317918525/3350343815022304 x)) |
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y 279195317918525/3350343815022304) (-.f64 (*.f64 y 279195317918525/3350343815022304) x))) (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)))) |
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 y (*.f64 279195317918525/3350343815022304 (-.f64 (*.f64 279195317918525/3350343815022304 y) x))))) |
(/.f64 (fma.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 x 3)) (fma.f64 x x (*.f64 y (*.f64 279195317918525/3350343815022304 (-.f64 (*.f64 279195317918525/3350343815022304 y) x))))) |
(/.f64 (fma.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 x 3)) (fma.f64 y (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416) (*.f64 x (fma.f64 y -279195317918525/3350343815022304 x)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416)) (-.f64 x (*.f64 y 279195317918525/3350343815022304))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416))) (-.f64 x (*.f64 279195317918525/3350343815022304 y))) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -77950025547626246938538175625/11224803678858206361900017468416)) (-.f64 x (*.f64 279195317918525/3350343815022304 y))) |
(/.f64 (fma.f64 (*.f64 y y) -77950025547626246938538175625/11224803678858206361900017468416 (*.f64 x x)) (fma.f64 y -279195317918525/3350343815022304 x)) |
(/.f64 (fma.f64 y (*.f64 y -77950025547626246938538175625/11224803678858206361900017468416) (*.f64 x x)) (fma.f64 y -279195317918525/3350343815022304 x)) |
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) (fma.f64 x x (*.f64 (*.f64 y 279195317918525/3350343815022304) (-.f64 (*.f64 y 279195317918525/3350343815022304) x)))) |
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 y (*.f64 279195317918525/3350343815022304 (-.f64 (*.f64 279195317918525/3350343815022304 y) x))))) |
(/.f64 (fma.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 x 3)) (fma.f64 x x (*.f64 y (*.f64 279195317918525/3350343815022304 (-.f64 (*.f64 279195317918525/3350343815022304 y) x))))) |
(/.f64 (fma.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 x 3)) (fma.f64 y (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416) (*.f64 x (fma.f64 y -279195317918525/3350343815022304 x)))) |
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) (+.f64 (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416) (-.f64 (*.f64 x x) (*.f64 (*.f64 y 279195317918525/3350343815022304) x)))) |
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 y (*.f64 279195317918525/3350343815022304 (-.f64 (*.f64 279195317918525/3350343815022304 y) x))))) |
(/.f64 (fma.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 x 3)) (fma.f64 x x (*.f64 y (*.f64 279195317918525/3350343815022304 (-.f64 (*.f64 279195317918525/3350343815022304 y) x))))) |
(/.f64 (fma.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 x 3)) (fma.f64 y (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416) (*.f64 x (fma.f64 y -279195317918525/3350343815022304 x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416) (*.f64 x x)) (-.f64 (*.f64 y 279195317918525/3350343815022304) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416))) (-.f64 x (*.f64 279195317918525/3350343815022304 y))) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -77950025547626246938538175625/11224803678858206361900017468416)) (-.f64 x (*.f64 279195317918525/3350343815022304 y))) |
(/.f64 (fma.f64 (*.f64 y y) -77950025547626246938538175625/11224803678858206361900017468416 (*.f64 x x)) (fma.f64 y -279195317918525/3350343815022304 x)) |
(/.f64 (fma.f64 y (*.f64 y -77950025547626246938538175625/11224803678858206361900017468416) (*.f64 x x)) (fma.f64 y -279195317918525/3350343815022304 x)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416))) (neg.f64 (-.f64 x (*.f64 y 279195317918525/3350343815022304)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416))) (-.f64 x (*.f64 279195317918525/3350343815022304 y))) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -77950025547626246938538175625/11224803678858206361900017468416)) (-.f64 x (*.f64 279195317918525/3350343815022304 y))) |
(/.f64 (fma.f64 (*.f64 y y) -77950025547626246938538175625/11224803678858206361900017468416 (*.f64 x x)) (fma.f64 y -279195317918525/3350343815022304 x)) |
(/.f64 (fma.f64 y (*.f64 y -77950025547626246938538175625/11224803678858206361900017468416) (*.f64 x x)) (fma.f64 y -279195317918525/3350343815022304 x)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y 279195317918525/3350343815022304) (-.f64 (*.f64 y 279195317918525/3350343815022304) x))))) |
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3)) 1) (fma.f64 x x (*.f64 y (*.f64 279195317918525/3350343815022304 (-.f64 (*.f64 279195317918525/3350343815022304 y) x))))) |
(/.f64 (fma.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 x 3)) (fma.f64 x x (*.f64 y (*.f64 279195317918525/3350343815022304 (-.f64 (*.f64 279195317918525/3350343815022304 y) x))))) |
(/.f64 (fma.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 x 3)) (fma.f64 y (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416) (*.f64 x (fma.f64 y -279195317918525/3350343815022304 x)))) |
(pow.f64 (fma.f64 y 279195317918525/3350343815022304 x) 1) |
(fma.f64 279195317918525/3350343815022304 y x) |
(pow.f64 (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 2) |
(fma.f64 279195317918525/3350343815022304 y x) |
(pow.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 3) |
(fma.f64 279195317918525/3350343815022304 y x) |
(pow.f64 (pow.f64 (fma.f64 y 279195317918525/3350343815022304 x) 3) 1/3) |
(fma.f64 279195317918525/3350343815022304 y x) |
(sqrt.f64 (pow.f64 (fma.f64 y 279195317918525/3350343815022304 x) 2)) |
(fma.f64 279195317918525/3350343815022304 y x) |
(log.f64 (exp.f64 (fma.f64 y 279195317918525/3350343815022304 x))) |
(fma.f64 279195317918525/3350343815022304 y x) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y 279195317918525/3350343815022304 x)))) |
(fma.f64 279195317918525/3350343815022304 y x) |
(cbrt.f64 (pow.f64 (fma.f64 y 279195317918525/3350343815022304 x) 3)) |
(fma.f64 279195317918525/3350343815022304 y x) |
(expm1.f64 (log1p.f64 (fma.f64 y 279195317918525/3350343815022304 x))) |
(fma.f64 279195317918525/3350343815022304 y x) |
(exp.f64 (log.f64 (fma.f64 y 279195317918525/3350343815022304 x))) |
(fma.f64 279195317918525/3350343815022304 y x) |
(exp.f64 (*.f64 (log.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 1)) |
(fma.f64 279195317918525/3350343815022304 y x) |
(log1p.f64 (expm1.f64 (fma.f64 y 279195317918525/3350343815022304 x))) |
(fma.f64 279195317918525/3350343815022304 y x) |
(fma.f64 y 279195317918525/3350343815022304 x) |
(fma.f64 279195317918525/3350343815022304 y x) |
(fma.f64 1 (*.f64 y 279195317918525/3350343815022304) x) |
(fma.f64 279195317918525/3350343815022304 y x) |
(fma.f64 1 x (*.f64 y 279195317918525/3350343815022304)) |
(fma.f64 279195317918525/3350343815022304 y x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 279195317918525/3350343815022304)) |
(fma.f64 279195317918525/3350343815022304 y x) |
(fma.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) x) |
(fma.f64 279195317918525/3350343815022304 y x) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 y 279195317918525/3350343815022304)) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 279195317918525/3350343815022304 y)) |
(fma.f64 279195317918525/3350343815022304 y (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2) (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) x) |
(fma.f64 279195317918525/3350343815022304 y x) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) |
| ✓ | 0.1b | (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) |
| ✓ | 0.2b | (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)) |
Compiled 32 to 22 computations (31.3% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)) |
| 1.0ms | y | @ | inf | (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)) |
| 1.0ms | y | @ | -inf | (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)) |
| 0.0ms | z | @ | inf | (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)) |
| 0.0ms | x | @ | 0 | (+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) |
| 1× | batch-egg-rewrite |
| 1764× | associate-*r/ |
| 1262× | associate-*l/ |
| 916× | associate-/r* |
| 686× | associate-/l* |
| 418× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 43 |
| 1 | 248 | 43 |
| 2 | 3344 | 43 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)) |
(*.f64 155900051080628738716045985239/389750127738131234692690878125 z) |
(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) (sqrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (/.f64 (*.f64 (sqrt.f64 y) 1) (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) (pow.f64 (cbrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) 2) (cbrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (*.f64 (cbrt.f64 y) 1) (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 -1 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 1 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) (/.f64 y (sqrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 2)) (/.f64 y (cbrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) -11224803678858206361900017468416/77950025547626246938538175625)) (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z -3350343815022304/279195317918525))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 37606951580302195967838628608395321436655550464/21763282164526655827658843929444325890953125 (*.f64 (pow.f64 z 3) 3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/59205056321600505207198264786734720763206505759200687450365017544628442291090118408203125))) (+.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z 522318771899645755807858051289387636439770656/108816410822633279138294219647221629454765625))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) -11224803678858206361900017468416/77950025547626246938538175625)) (*.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z -3350343815022304/279195317918525)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 37606951580302195967838628608395321436655550464/21763282164526655827658843929444325890953125 (*.f64 (pow.f64 z 3) 3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/59205056321600505207198264786734720763206505759200687450365017544628442291090118408203125))) (*.f64 y (+.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z 522318771899645755807858051289387636439770656/108816410822633279138294219647221629454765625)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (fma.f64 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3350343815022304/279195317918525))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 2)) (cbrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 y 1) 1) (/.f64 1 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (neg.f64 (+.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) 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| 1× | egg-herbie |
| 1680× | associate-/r/ |
| 722× | +-commutative |
| 618× | distribute-lft-neg-in |
| 520× | associate-/l* |
| 482× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 441 | 7672 |
| 1 | 1200 | 7462 |
| 2 | 5143 | 7384 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 279195317918525/3350343815022304 y) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) |
(+.f64 (*.f64 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))) |
(+.f64 (*.f64 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) (*.f64 -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/1227676047884713938902136124406103421221733893494451051781282641087889373841742558085120000000 (*.f64 y (pow.f64 z 3)))))) |
(*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z)) |
(+.f64 (*.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 (/.f64 y (pow.f64 z 2))) (*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z))) |
(+.f64 (*.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 8525528110310493107217358829919565281594830955295884054148844818157602381311542450000000000/3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919 (/.f64 y (pow.f64 z 3))) (*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z)))) |
(+.f64 (*.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 8525528110310493107217358829919565281594830955295884054148844818157602381311542450000000000/3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 -39873908040342567067046441719054932589933590970022151679778966822883997618868713910090756831459948364488144600000000000000/590724563338983643962372834531741920535364530494984699021859876952259105769148219366939901641144597718544886593668641 (/.f64 y (pow.f64 z 4))) (*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z))))) |
(*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z)) |
(+.f64 (*.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 (/.f64 y (pow.f64 z 2))) (*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z))) |
(+.f64 (*.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 8525528110310493107217358829919565281594830955295884054148844818157602381311542450000000000/3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919 (/.f64 y (pow.f64 z 3))) (*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z)))) |
(+.f64 (*.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 8525528110310493107217358829919565281594830955295884054148844818157602381311542450000000000/3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 -39873908040342567067046441719054932589933590970022151679778966822883997618868713910090756831459948364488144600000000000000/590724563338983643962372834531741920535364530494984699021859876952259105769148219366939901641144597718544886593668641 (/.f64 y (pow.f64 z 4))) (*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z))))) |
(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)) |
(+.f64 (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)) x) |
(+.f64 (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)) x) |
(+.f64 (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)) x) |
x |
(+.f64 (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)) x) |
(+.f64 (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)) x) |
(+.f64 (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)) x) |
x |
(+.f64 (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)) x) |
(+.f64 (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)) x) |
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(/.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x)) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 2)))) (sqrt.f64 (-.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x)) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 3)))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) (-.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x)) 2) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 2)))) (cbrt.f64 (-.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x)) 2) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 3)))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) (-.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 2)) 1) (-.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 2) (*.f64 x x)) 1) (-.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x)) |
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 2))) 1) (neg.f64 (-.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 3))) 1) (neg.f64 (fma.f64 x x (*.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) (-.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 2))) (sqrt.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x))) (sqrt.f64 (-.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 3))) (sqrt.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) (-.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 2))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x)) 2)) (cbrt.f64 (-.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 3))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x)) 2)) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) (-.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (pow.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 3) (/.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525) y))) (/.f64 1 (-.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))) (+.f64 (pow.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 2) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 2) 3)) (/.f64 1 (-.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))) (+.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (pow.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 3) (/.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525) y))) (*.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 2)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 3) (pow.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 3))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) (-.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x))))) (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 3))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) (-.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (-.f64 (*.f64 (pow.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 3) (pow.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 3))))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 2)) 1) (-.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 2)) (sqrt.f64 (-.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))) (sqrt.f64 (-.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 2)) (*.f64 (cbrt.f64 (-.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))) (cbrt.f64 (-.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))))) (cbrt.f64 (-.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 2)) (+.f64 (sqrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 3)) 1) (fma.f64 x x (*.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) (-.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) (-.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) (-.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) (-.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) (-.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) (-.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x))))) |
(pow.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x) 1) |
(pow.f64 (sqrt.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x)) 2) |
(pow.f64 (cbrt.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x)) 3) |
(pow.f64 (pow.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x) 2)) |
(log.f64 (exp.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x)))) |
(cbrt.f64 (pow.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x))) |
(exp.f64 (log.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x)) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x))) |
(fma.f64 y (/.f64 1 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x) |
(fma.f64 1 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x) |
(fma.f64 1 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) |
(fma.f64 (sqrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) (sqrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) 2) (cbrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) |
| Outputs |
|---|
(*.f64 279195317918525/3350343815022304 y) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) |
(fma.f64 279195317918525/3350343815022304 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) |
(fma.f64 279195317918525/3350343815022304 y (*.f64 y (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))) |
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(fma.f64 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 (*.f64 y (*.f64 z z)) (fma.f64 279195317918525/3350343815022304 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))) |
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(pow.f64 (pow.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x) 3) 1/3) |
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(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x)))) |
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(expm1.f64 (log1p.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x))) |
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(exp.f64 (log.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x))) |
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(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x)) 1)) |
(+.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) |
(+.f64 x (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525))) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x))) |
(+.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) |
(+.f64 x (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525))) |
(fma.f64 y (/.f64 1 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x) |
(+.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) |
(+.f64 x (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525))) |
(fma.f64 1 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) x) |
(+.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) |
(+.f64 x (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525))) |
(fma.f64 1 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) |
(+.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) |
(+.f64 x (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525))) |
(fma.f64 (sqrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) (sqrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) x) |
(+.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) |
(+.f64 x (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) |
(+.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) |
(+.f64 x (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) 2) (cbrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) x) |
(+.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) |
(+.f64 x (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525))) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) |
(+.f64 x (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) |
(+.f64 x (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x) |
| ✓ | 0.0b | (+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x)) |
| ✓ | 0.2b | (*.f64 279195317918525/3350343815022304 y) |
| ✓ | 0.5b | (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) |
Compiled 37 to 19 computations (48.6% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) |
| 0.0ms | z | @ | inf | (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) |
| 0.0ms | y | @ | inf | (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) |
| 0.0ms | z | @ | 0 | (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x)) |
| 1× | batch-egg-rewrite |
| 1170× | associate-*r/ |
| 1022× | distribute-rgt-in |
| 982× | distribute-lft-in |
| 902× | associate-*l/ |
| 278× | associate-+l+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 58 |
| 1 | 267 | 58 |
| 2 | 3576 | 58 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) |
(*.f64 279195317918525/3350343815022304 y) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x)) |
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 y z) 3) -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/176785350895399229332556051132753649373740215222282505784149730667059444577753454877356326912000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -155900051080628738716045985239/56124018394291031809500087342080) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 y z) 3) -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/176785350895399229332556051132753649373740215222282505784149730667059444577753454877356326912000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y 279195317918525/3350343815022304))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y 279195317918525/3350343815022304) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y 279195317918525/3350343815022304) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 279195317918525/3350343815022304) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y 279195317918525/3350343815022304))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y 279195317918525/3350343815022304) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y 279195317918525/3350343815022304)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y 279195317918525/3350343815022304)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y 279195317918525/3350343815022304)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y 279195317918525/3350343815022304))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))) (-.f64 1 (+.f64 (*.f64 y 279195317918525/3350343815022304) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y 279195317918525/3350343815022304 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y 279195317918525/3350343815022304))) (-.f64 1 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x))) (-.f64 1 (*.f64 y 279195317918525/3350343815022304)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (fma.f64 y 279195317918525/3350343815022304 (*.f64 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(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) (exp.f64 (log1p.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) (/.f64 (pow.f64 (*.f64 y z) 2) (/.f64 (-.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x) 24304825926942649962295480741151107170296249740890205887121/3149905440722718088495328711377149875567937175795148638938726400))) (/.f64 x (/.f64 (-.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x) (exp.f64 (log1p.f64 (*.f64 y 279195317918525/3350343815022304)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (fma.f64 y 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) (exp.f64 (log1p.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (fma.f64 y 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) 1) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y 279195317918525/3350343815022304 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y 279195317918525/3350343815022304 (fma.f64 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279195317918525/3350343815022304 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (pow.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x) 2)) (/.f64 1 (-.f64 (*.f64 y 279195317918525/3350343815022304) (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 y 279195317918525/3350343815022304) 3) (pow.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x) 3)) (/.f64 1 (+.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x) (-.f64 (fma.f64 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| 1× | egg-herbie |
| 864× | associate-/l* |
| 790× | associate-*r* |
| 690× | associate-*l* |
| 616× | fma-def |
| 470× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 533 | 13147 |
| 1 | 1543 | 11811 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x) |
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x) |
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x) |
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) |
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x) |
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x) |
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x) |
(*.f64 -1 (*.f64 y (-.f64 (*.f64 155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304))) |
(+.f64 (*.f64 -1 (*.f64 y (-.f64 (*.f64 155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304))) x) |
(+.f64 (*.f64 -1 (*.f64 y (-.f64 (*.f64 155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304))) x) |
(+.f64 (*.f64 -1 (*.f64 y (-.f64 (*.f64 155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304))) x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) |
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) |
x |
x |
x |
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(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 2)) 1) (-.f64 x (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 2) (*.f64 x x))) 1) (neg.f64 (-.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 y z) 3) -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/176785350895399229332556051132753649373740215222282505784149730667059444577753454877356326912000) (pow.f64 x 3))) 1) (neg.f64 (+.f64 (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 2) (*.f64 x (-.f64 x (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 2) (*.f64 x x))) (sqrt.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x))) (sqrt.f64 (-.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 (*.f64 y z) 3) -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/176785350895399229332556051132753649373740215222282505784149730667059444577753454877356326912000) (pow.f64 x 3))) (sqrt.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 2) (*.f64 x (-.f64 x (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 2) (*.f64 x x))) (pow.f64 (cbrt.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x)) 2)) (cbrt.f64 (-.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 (*.f64 y z) 3) -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/176785350895399229332556051132753649373740215222282505784149730667059444577753454877356326912000) (pow.f64 x 3))) (pow.f64 (cbrt.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x)) 2)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 2) (*.f64 x (-.f64 x (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 2) (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 2)) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 1 (-.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x))) (+.f64 (*.f64 x x) (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 2))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 2) 3) (pow.f64 (*.f64 x x) 3)) (/.f64 1 (-.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x))) (+.f64 (*.f64 (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 2) (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 2)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 2) (*.f64 x x))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 y z) 3) -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/176785350895399229332556051132753649373740215222282505784149730667059444577753454877356326912000) (*.f64 (pow.f64 (*.f64 y z) 3) -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/176785350895399229332556051132753649373740215222282505784149730667059444577753454877356326912000)) (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 2) (*.f64 x (-.f64 x (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))))))) (-.f64 (*.f64 (pow.f64 (*.f64 y z) 3) -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/176785350895399229332556051132753649373740215222282505784149730667059444577753454877356326912000) (pow.f64 x 3))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 y z) 3) -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/176785350895399229332556051132753649373740215222282505784149730667059444577753454877356326912000) 3) (pow.f64 (pow.f64 x 3) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 2) (*.f64 x (-.f64 x (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))))))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 y z) 3) -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/176785350895399229332556051132753649373740215222282505784149730667059444577753454877356326912000) (*.f64 (pow.f64 (*.f64 y z) 3) -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/176785350895399229332556051132753649373740215222282505784149730667059444577753454877356326912000)) (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (*.f64 (pow.f64 (*.f64 y z) 3) -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/176785350895399229332556051132753649373740215222282505784149730667059444577753454877356326912000) (pow.f64 x 3))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 2) (*.f64 x x)) 1) (-.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x)) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 2) (*.f64 x x)) (sqrt.f64 (-.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x))) (sqrt.f64 (-.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 2) (*.f64 x x)) (*.f64 (cbrt.f64 (-.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x)) (cbrt.f64 (-.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x)))) (cbrt.f64 (-.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 2) (*.f64 x x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))))) (-.f64 (sqrt.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) (sqrt.f64 x))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 y z) 3) -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/176785350895399229332556051132753649373740215222282505784149730667059444577753454877356326912000) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 2) (*.f64 x (-.f64 x (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 y z) 3) -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/176785350895399229332556051132753649373740215222282505784149730667059444577753454877356326912000) (pow.f64 x 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 2) (*.f64 x (-.f64 x (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 2) (*.f64 x (-.f64 x (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))))))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 y z) 3) -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/176785350895399229332556051132753649373740215222282505784149730667059444577753454877356326912000) (pow.f64 x 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 2) (*.f64 x (-.f64 x (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 2) (*.f64 x (-.f64 x (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 2) (*.f64 x (-.f64 x (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))))))) |
(pow.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x) 1) |
(pow.f64 (sqrt.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x)) 3) |
(pow.f64 (pow.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x) 2)) |
(log.f64 (exp.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x)))) |
(cbrt.f64 (pow.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x))) |
(exp.f64 (log.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x)) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x))) |
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x) |
(fma.f64 (*.f64 y z) -155900051080628738716045985239/56124018394291031809500087342080 x) |
(fma.f64 1 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x) |
(fma.f64 1 x (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) |
(fma.f64 (sqrt.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) (sqrt.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) 2) (cbrt.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) x) |
(fma.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 y) z x) |
| Outputs |
|---|
x |
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x) |
(fma.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y x) |
(fma.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y x) |
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x) |
(fma.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y x) |
(fma.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y x) |
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x) |
(fma.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y x) |
(fma.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y x) |
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) |
(*.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y) |
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x) |
(fma.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y x) |
(fma.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y x) |
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x) |
(fma.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y x) |
(fma.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y x) |
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x) |
(fma.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y x) |
(fma.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y x) |
(*.f64 -1 (*.f64 y (-.f64 (*.f64 155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304))) |
(neg.f64 (*.f64 y (fma.f64 155900051080628738716045985239/56124018394291031809500087342080 z -279195317918525/3350343815022304))) |
(*.f64 (fma.f64 z 155900051080628738716045985239/56124018394291031809500087342080 -279195317918525/3350343815022304) (neg.f64 y)) |
(+.f64 (*.f64 -1 (*.f64 y (-.f64 (*.f64 155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304))) x) |
(fma.f64 -1 (*.f64 y (fma.f64 155900051080628738716045985239/56124018394291031809500087342080 z -279195317918525/3350343815022304)) x) |
(-.f64 x (*.f64 y (fma.f64 z 155900051080628738716045985239/56124018394291031809500087342080 -279195317918525/3350343815022304))) |
(+.f64 (*.f64 -1 (*.f64 y (-.f64 (*.f64 155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304))) x) |
(fma.f64 -1 (*.f64 y (fma.f64 155900051080628738716045985239/56124018394291031809500087342080 z -279195317918525/3350343815022304)) x) |
(-.f64 x (*.f64 y (fma.f64 z 155900051080628738716045985239/56124018394291031809500087342080 -279195317918525/3350343815022304))) |
(+.f64 (*.f64 -1 (*.f64 y (-.f64 (*.f64 155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304))) x) |
(fma.f64 -1 (*.f64 y (fma.f64 155900051080628738716045985239/56124018394291031809500087342080 z -279195317918525/3350343815022304)) x) |
(-.f64 x (*.f64 y (fma.f64 z 155900051080628738716045985239/56124018394291031809500087342080 -279195317918525/3350343815022304))) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(fma.f64 279195317918525/3350343815022304 y x) |
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) |
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y)) |
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) |
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y)) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) |
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) |
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(/.f64 (fma.f64 (pow.f64 (*.f64 z y) 3) -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/176785350895399229332556051132753649373740215222282505784149730667059444577753454877356326912000 (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y))) (*.f64 (pow.f64 (*.f64 z y) 2) 24304825926942649962295480741151107170296249740890205887121/3149905440722718088495328711377149875567937175795148638938726400))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 y z) 3) -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/176785350895399229332556051132753649373740215222282505784149730667059444577753454877356326912000) (pow.f64 x 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 2) (*.f64 x (-.f64 x (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 2) (*.f64 x (-.f64 x (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 z y) 3) -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/176785350895399229332556051132753649373740215222282505784149730667059444577753454877356326912000 (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y)) 2) (*.f64 x (+.f64 x (*.f64 155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y)))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 z y) 3) -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/176785350895399229332556051132753649373740215222282505784149730667059444577753454877356326912000 (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y))) (*.f64 (pow.f64 (*.f64 z y) 2) 24304825926942649962295480741151107170296249740890205887121/3149905440722718088495328711377149875567937175795148638938726400))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 y z) 3) -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/176785350895399229332556051132753649373740215222282505784149730667059444577753454877356326912000) (pow.f64 x 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 2) (*.f64 x (-.f64 x (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 2) (*.f64 x (-.f64 x (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) 2) (*.f64 x (-.f64 x (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 z y) 3) -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/176785350895399229332556051132753649373740215222282505784149730667059444577753454877356326912000 (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y)) 2) (*.f64 x (+.f64 x (*.f64 155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y)))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 z y) 3) -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/176785350895399229332556051132753649373740215222282505784149730667059444577753454877356326912000 (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y))) (*.f64 (pow.f64 (*.f64 z y) 2) 24304825926942649962295480741151107170296249740890205887121/3149905440722718088495328711377149875567937175795148638938726400))) |
(pow.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x) 1) |
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) x) |
(pow.f64 (sqrt.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x)) 2) |
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) x) |
(pow.f64 (cbrt.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x)) 3) |
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) x) |
(pow.f64 (pow.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x) 3) 1/3) |
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) x) |
(sqrt.f64 (pow.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x) 2)) |
(sqrt.f64 (pow.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) x) 2)) |
(fabs.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) x)) |
(log.f64 (exp.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x))) |
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) x) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x)))) |
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) x) |
(cbrt.f64 (pow.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x) 3)) |
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) x) |
(expm1.f64 (log1p.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x))) |
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) x) |
(exp.f64 (log.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x))) |
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) x) |
(exp.f64 (*.f64 (log.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x)) 1)) |
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) x) |
(log1p.f64 (expm1.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x))) |
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) x) |
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z) x) |
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) x) |
(fma.f64 (*.f64 y z) -155900051080628738716045985239/56124018394291031809500087342080 x) |
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) x) |
(fma.f64 1 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x) |
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) x) |
(fma.f64 1 x (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) |
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) |
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) x) |
(fma.f64 (sqrt.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) (sqrt.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) x) |
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) x) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) |
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) x) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) 2) (cbrt.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) x) |
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) x) |
(fma.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 y) z x) |
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) x) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 z (/.f64 1 (+.f64 z 6012459259764103/1000000000000000))) |
| 0.5b | (*.f64 z 692910599291889/10000000000000000) | |
| 3.1b | (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) | |
| ✓ | 19.7b | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (/.f64 z (/.f64 1 (+.f64 z 6012459259764103/1000000000000000))) 104698244219447/31250000000000)) |
Compiled 115 to 86 computations (25.2% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | -inf | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (/.f64 z (/.f64 1 (+.f64 z 6012459259764103/1000000000000000))) 104698244219447/31250000000000)) |
| 0.0ms | z | @ | inf | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (/.f64 z (/.f64 1 (+.f64 z 6012459259764103/1000000000000000))) 104698244219447/31250000000000)) |
| 0.0ms | y | @ | 0 | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (/.f64 z (/.f64 1 (+.f64 z 6012459259764103/1000000000000000))) 104698244219447/31250000000000)) |
| 0.0ms | z | @ | 0 | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (/.f64 z (/.f64 1 (+.f64 z 6012459259764103/1000000000000000))) 104698244219447/31250000000000)) |
| 0.0ms | y | @ | -inf | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (/.f64 z (/.f64 1 (+.f64 z 6012459259764103/1000000000000000))) 104698244219447/31250000000000)) |
| 1× | batch-egg-rewrite |
| 1604× | associate-/r/ |
| 474× | add-sqr-sqrt |
| 448× | pow1 |
| 448× | *-un-lft-identity |
| 446× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 72 |
| 1 | 468 | 56 |
| 2 | 6421 | 56 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (/.f64 z (/.f64 1 (+.f64 z 6012459259764103/1000000000000000))) 104698244219447/31250000000000)) |
(/.f64 z (/.f64 1 (+.f64 z 6012459259764103/1000000000000000))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 1 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (*.f64 y (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (*.f64 (sqrt.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y)) (sqrt.f64 (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 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| 1× | egg-herbie |
| 1172× | associate-+l+ |
| 888× | +-commutative |
| 788× | associate-+r+ |
| 622× | *-commutative |
| 494× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 479 | 8003 |
| 1 | 1436 | 7685 |
| 2 | 5943 | 7685 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(*.f64 279195317918525/3350343815022304 y) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)))) |
(+.f64 (*.f64 (-.f64 (*.f64 692910599291889/33503438150223040 y) (+.f64 (*.f64 272651677654809570312500000/10961722342634967150292985809 y) (*.f64 6012459259764103/3350343815022304 (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y))))) (pow.f64 z 2)) (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y))))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 6012459259764103/3350343815022304 (-.f64 (*.f64 692910599291889/33503438150223040 y) (+.f64 (*.f64 272651677654809570312500000/10961722342634967150292985809 y) (*.f64 6012459259764103/3350343815022304 (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)))))) (*.f64 31250000000000/104698244219447 (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)))) (pow.f64 z 3))) (+.f64 (*.f64 (-.f64 (*.f64 692910599291889/33503438150223040 y) (+.f64 (*.f64 272651677654809570312500000/10961722342634967150292985809 y) (*.f64 6012459259764103/3350343815022304 (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y))))) (pow.f64 z 2)) (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 z (-.f64 (*.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)))))) |
(*.f64 692910599291889/10000000000000000 y) |
(-.f64 (+.f64 (*.f64 307332350656623/625000000000000 (/.f64 y z)) (*.f64 692910599291889/10000000000000000 y)) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z))) |
(-.f64 (+.f64 (*.f64 307332350656623/625000000000000 (/.f64 y z)) (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (*.f64 692910599291889/10000000000000000 y))) (+.f64 (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z)) (+.f64 (*.f64 6012459259764103/1000000000000000 (/.f64 (-.f64 (*.f64 307332350656623/625000000000000 y) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 y)) (pow.f64 z 2))) (*.f64 72546523146905574025723165383/312500000000000000000000000000 (/.f64 y (pow.f64 z 2)))))) |
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(*.f64 692910599291889/10000000000000000 y) |
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(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -307332350656623/625000000000000 y) (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (*.f64 692910599291889/10000000000000000 y))) (+.f64 (*.f64 -6012459259764103/1000000000000000 (/.f64 (-.f64 (*.f64 -307332350656623/625000000000000 y) (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 y)) (pow.f64 z 2))) (*.f64 72546523146905574025723165383/312500000000000000000000000000 (/.f64 y (pow.f64 z 2))))) |
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(*.f64 6012459259764103/1000000000000000 z) |
(+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z)) |
(+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z)) |
(+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z)) |
(pow.f64 z 2) |
(+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z)) |
(+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z)) |
(+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z)) |
(pow.f64 z 2) |
(+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z)) |
(+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z)) |
(+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y))) 1) |
(*.f64 y (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) |
(*.f64 y (*.f64 1 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) |
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (*.f64 y (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) |
(*.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(*.f64 1 (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y)) |
(*.f64 (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y) 1) |
(*.f64 (sqrt.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (*.f64 (sqrt.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y)) (sqrt.f64 (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 2) (*.f64 (cbrt.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y)) 2) (cbrt.f64 (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y))) |
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(*.f64 (/.f64 (/.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (sqrt.f64 (+.f64 1147673082894964476557575335949564252827623/30517578125000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2) (-.f64 10961722342634967150292985809/976562500000000000000000000 (*.f64 z (*.f64 (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) |
(*.f64 (/.f64 (/.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2) -10961722342634967150292985809/976562500000000000000000000))) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) -104698244219447/31250000000000))) |
(*.f64 (/.f64 (/.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2)) (cbrt.f64 (+.f64 1147673082894964476557575335949564252827623/30517578125000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2) (-.f64 10961722342634967150292985809/976562500000000000000000000 (*.f64 z (*.f64 (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) |
(*.f64 (/.f64 (/.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2) -10961722342634967150292985809/976562500000000000000000000))) (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) -104698244219447/31250000000000))) |
(pow.f64 (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y) 1) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y)) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y) 3) 1/3) |
(pow.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) -1) |
(neg.f64 (/.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y) 2)) |
(log.f64 (exp.f64 (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y)))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 3) (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y))) |
(exp.f64 (log.f64 (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y))) |
(+.f64 (*.f64 z z) (*.f64 z 6012459259764103/1000000000000000)) |
(+.f64 (*.f64 z 6012459259764103/1000000000000000) (*.f64 z z)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) 1) |
(*.f64 z (+.f64 z 6012459259764103/1000000000000000)) |
(*.f64 z (neg.f64 (-.f64 -6012459259764103/1000000000000000 z))) |
(*.f64 1 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) |
(*.f64 (+.f64 z 6012459259764103/1000000000000000) z) |
(*.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 1) |
(*.f64 (sqrt.f64 (+.f64 z 6012459259764103/1000000000000000)) (*.f64 z (sqrt.f64 (+.f64 z 6012459259764103/1000000000000000)))) |
(*.f64 (sqrt.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) (sqrt.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (+.f64 z 6012459259764103/1000000000000000))) |
(*.f64 (cbrt.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 2) (cbrt.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) |
(*.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (+.f64 z 6012459259764103/1000000000000000))) |
(*.f64 (neg.f64 z) (-.f64 -6012459259764103/1000000000000000 z)) |
(*.f64 -1 (*.f64 z (-.f64 -6012459259764103/1000000000000000 z))) |
(*.f64 (-.f64 -6012459259764103/1000000000000000 z) (neg.f64 z)) |
(*.f64 (*.f64 z (pow.f64 (cbrt.f64 (+.f64 z 6012459259764103/1000000000000000)) 2)) (cbrt.f64 (+.f64 z 6012459259764103/1000000000000000))) |
(*.f64 (*.f64 z (sqrt.f64 (+.f64 z 6012459259764103/1000000000000000))) (sqrt.f64 (+.f64 z 6012459259764103/1000000000000000))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 z 6012459259764103/1000000000000000) -2))) (*.f64 z (cbrt.f64 (+.f64 z 6012459259764103/1000000000000000)))) |
(*.f64 (/.f64 z -1) (-.f64 -6012459259764103/1000000000000000 z)) |
(*.f64 (/.f64 (sqrt.f64 z) 1) (*.f64 (/.f64 (sqrt.f64 z) 1) (+.f64 z 6012459259764103/1000000000000000))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 z) 1) (+.f64 z 6012459259764103/1000000000000000)) (sqrt.f64 z)) |
(*.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (pow.f64 (+.f64 z 6012459259764103/1000000000000000) -2))) (*.f64 (/.f64 (sqrt.f64 z) 1) (cbrt.f64 (+.f64 z 6012459259764103/1000000000000000)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (*.f64 (/.f64 (cbrt.f64 z) 1) (+.f64 z 6012459259764103/1000000000000000))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (+.f64 z 6012459259764103/1000000000000000) -1/2)) (/.f64 (cbrt.f64 z) (pow.f64 (+.f64 z 6012459259764103/1000000000000000) -1/2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 (pow.f64 (+.f64 z 6012459259764103/1000000000000000) -2))) (cbrt.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) |
(*.f64 (/.f64 z (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 z 6012459259764103/1000000000000000)) 2))) (cbrt.f64 (+.f64 z 6012459259764103/1000000000000000))) |
(*.f64 (/.f64 1 (/.f64 (/.f64 1 (+.f64 z 6012459259764103/1000000000000000)) (sqrt.f64 z))) (sqrt.f64 z)) |
(*.f64 (/.f64 1 (/.f64 (/.f64 1 (+.f64 z 6012459259764103/1000000000000000)) (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 1 (+.f64 z 6012459259764103/1000000000000000))) (cbrt.f64 z)) |
(*.f64 (/.f64 (neg.f64 z) 1) (-.f64 -6012459259764103/1000000000000000 z)) |
(*.f64 (/.f64 (*.f64 z (sqrt.f64 (+.f64 z 6012459259764103/1000000000000000))) 1) (sqrt.f64 (+.f64 z 6012459259764103/1000000000000000))) |
(*.f64 (/.f64 (*.f64 z (sqrt.f64 (+.f64 z 6012459259764103/1000000000000000))) (sqrt.f64 -1)) (sqrt.f64 (-.f64 -6012459259764103/1000000000000000 z))) |
(*.f64 (/.f64 (/.f64 z (cbrt.f64 (pow.f64 (+.f64 z 6012459259764103/1000000000000000) -2))) 1) (cbrt.f64 (+.f64 z 6012459259764103/1000000000000000))) |
(*.f64 (/.f64 (/.f64 z (cbrt.f64 (pow.f64 (+.f64 z 6012459259764103/1000000000000000) -2))) -1) (cbrt.f64 (-.f64 -6012459259764103/1000000000000000 z))) |
(*.f64 (/.f64 (*.f64 z (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000)) (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000)) (+.f64 z 6012459259764103/1000000000000000)) |
(*.f64 (/.f64 (*.f64 z (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000)) (-.f64 (pow.f64 z 3) 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000)) (+.f64 (*.f64 z z) (+.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)))) |
(*.f64 (/.f64 (*.f64 z (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3))) (-.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)) (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000))))) (+.f64 (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000) (*.f64 z 6012459259764103/1000000000000000))) |
(*.f64 (/.f64 (*.f64 z (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3))) (+.f64 (pow.f64 (*.f64 z z) 3) (pow.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)) 3))) (+.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (-.f64 (*.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)) (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000))) (*.f64 (*.f64 z z) (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)))))) |
(pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 1) |
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 2) |
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 3) |
(pow.f64 (/.f64 1 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) -1) |
(pow.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3) 1/3) |
(neg.f64 (*.f64 z (-.f64 -6012459259764103/1000000000000000 z))) |
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2)) |
(log.f64 (pow.f64 (exp.f64 z) (+.f64 z 6012459259764103/1000000000000000))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) |
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) |
(exp.f64 (log.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) |
| Outputs |
|---|
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
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(*.f64 (/.f64 (fma.f64 z 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 4)) (+.f64 (pow.f64 z 6) (pow.f64 (+.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z -6012459259764103/1000000000000000)) 3))) (fma.f64 (+.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z -6012459259764103/1000000000000000)) (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) (pow.f64 z 4))) |
(/.f64 (*.f64 (fma.f64 z 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 4)) (fma.f64 (+.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z -6012459259764103/1000000000000000)) (+.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z (-.f64 -6012459259764103/1000000000000000 z))) (pow.f64 z 4))) (+.f64 (pow.f64 z 6) (pow.f64 (+.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z -6012459259764103/1000000000000000)) 3))) |
(pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 1) |
(*.f64 z (+.f64 z 6012459259764103/1000000000000000)) |
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 2) |
(*.f64 z (+.f64 z 6012459259764103/1000000000000000)) |
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 3) |
(*.f64 z (+.f64 z 6012459259764103/1000000000000000)) |
(pow.f64 (/.f64 1 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) -1) |
(*.f64 z (+.f64 z 6012459259764103/1000000000000000)) |
(pow.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3) 1/3) |
(*.f64 z (+.f64 z 6012459259764103/1000000000000000)) |
(neg.f64 (*.f64 z (-.f64 -6012459259764103/1000000000000000 z))) |
(*.f64 z (+.f64 z 6012459259764103/1000000000000000)) |
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2)) |
(fabs.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) |
(log.f64 (pow.f64 (exp.f64 z) (+.f64 z 6012459259764103/1000000000000000))) |
(*.f64 z (+.f64 z 6012459259764103/1000000000000000)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) |
(*.f64 z (+.f64 z 6012459259764103/1000000000000000)) |
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3)) |
(*.f64 z (+.f64 z 6012459259764103/1000000000000000)) |
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) |
(*.f64 z (+.f64 z 6012459259764103/1000000000000000)) |
(exp.f64 (log.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) |
(*.f64 z (+.f64 z 6012459259764103/1000000000000000)) |
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 1)) |
(*.f64 z (+.f64 z 6012459259764103/1000000000000000)) |
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) |
(*.f64 z (+.f64 z 6012459259764103/1000000000000000)) |
Compiled 27557 to 17909 computations (35% saved)
15 alts after pruning (12 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1042 | 3 | 1045 |
| Fresh | 0 | 9 | 9 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 2 | 4 |
| Total | 1044 | 15 | 1059 |
| Status | Error | Program |
|---|---|---|
| 43.5b | (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) | |
| ▶ | 48.6b | (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)) |
| ▶ | 16.2b | (+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
| ▶ | 24.2b | (+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)) |
| ▶ | 12.1b | (+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
| ✓ | 20.4b | (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (/.f64 z (/.f64 1 (+.f64 z 6012459259764103/1000000000000000))) 104698244219447/31250000000000))) |
| 36.1b | (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (exp.f64 (log.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) 104698244219447/31250000000000))) | |
| 21.7b | (+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (/.f64 (+.f64 29028515918677826297037119458939297513676367/244140625000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) (+.f64 (*.f64 (*.f64 z z) 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 z 212953843275265618747988030847/6250000000000000000000000000000)))) z 11167812716741/40000000000000)))) | |
| 14.5b | (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) | |
| 14.3b | (+.f64 x (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))) | |
| ✓ | 12.0b | (+.f64 x (/.f64 y 10000000000000000/692910599291889)) |
| ✓ | 16.1b | (+.f64 x (/.f64 y 3350343815022304/279195317918525)) |
| ▶ | 19.4b | (+.f64 x (*.f64 (/.f64 y (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625))) (-.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)))) |
| 48.7b | (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) | |
| 33.3b | x |
Compiled 414 to 313 computations (24.4% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
| ✓ | 0.5b | (*.f64 692910599291889/10000000000000000 y) |
Compiled 14 to 9 computations (35.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (*.f64 692910599291889/10000000000000000 y) |
| 0.0ms | y | @ | inf | (*.f64 692910599291889/10000000000000000 y) |
| 0.0ms | y | @ | inf | (+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
| 0.0ms | y | @ | -inf | (*.f64 692910599291889/10000000000000000 y) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
| 1× | batch-egg-rewrite |
| 1612× | add-sqr-sqrt |
| 1588× | *-un-lft-identity |
| 1490× | add-cube-cbrt |
| 1476× | add-cbrt-cube |
| 154× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 16 |
| 1 | 152 | 16 |
| 2 | 1951 | 16 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 692910599291889/10000000000000000 y) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 692910599291889/10000000000000000 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 692910599291889/10000000000000000 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) 692910599291889/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 692910599291889/10000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 692910599291889/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 692910599291889/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 692910599291889/10000000000000000 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 692910599291889/10000000000000000 y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 692910599291889/10000000000000000 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (-.f64 (*.f64 692910599291889/10000000000000000 y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 692910599291889/10000000000000000 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 692910599291889/10000000000000000 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (pow.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 2) (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 x 3)) (/.f64 1 (+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 692910599291889/10000000000000000 y) x) (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y)))) (+.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 692910599291889/10000000000000000 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 x 3)) (+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 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y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 692910599291889/10000000000000000 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 692910599291889/10000000000000000 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 692910599291889/10000000000000000 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 692910599291889/10000000000000000 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 692910599291889/10000000000000000 y x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 692910599291889/10000000000000000 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 692910599291889/10000000000000000 y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 692910599291889/10000000000000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 692910599291889/10000000000000000 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 692910599291889/10000000000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 692910599291889/10000000000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 692910599291889/10000000000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) x))))) |
| 1× | egg-herbie |
| 1282× | associate-*r* |
| 1226× | associate-+r+ |
| 1068× | associate-*l* |
| 906× | associate-+l+ |
| 458× | +-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 117 | 982 |
| 1 | 274 | 952 |
| 2 | 974 | 884 |
| 3 | 5306 | 884 |
| 1× | node limit |
| Inputs |
|---|
x |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 692910599291889/10000000000000000 y) |
x |
x |
(-.f64 (exp.f64 (log1p.f64 (*.f64 692910599291889/10000000000000000 y))) 1) |
(pow.f64 (*.f64 692910599291889/10000000000000000 y) 1) |
(pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) |
(pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3) |
(pow.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) 1/3) |
(sqrt.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y))) |
(log.f64 (pow.f64 (exp.f64 y) 692910599291889/10000000000000000)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 692910599291889/10000000000000000 y)))) |
(cbrt.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3))) |
(expm1.f64 (log1p.f64 (*.f64 692910599291889/10000000000000000 y))) |
(exp.f64 (log.f64 (*.f64 692910599291889/10000000000000000 y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 692910599291889/10000000000000000 y)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 692910599291889/10000000000000000 y))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 692910599291889/10000000000000000 y x))) 1) |
(-.f64 (/.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (-.f64 (*.f64 692910599291889/10000000000000000 y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 692910599291889/10000000000000000 y) x))) |
(*.f64 (fma.f64 692910599291889/10000000000000000 y x) 1) |
(*.f64 1 (fma.f64 692910599291889/10000000000000000 y x)) |
(*.f64 (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x))) |
(*.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (pow.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 2) (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x))) |
(*.f64 (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x))) |
(*.f64 (+.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 x 3)) (/.f64 1 (+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y)))))) |
(/.f64 1 (/.f64 (-.f64 (*.f64 692910599291889/10000000000000000 y) x) (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x)))) |
(/.f64 1 (/.f64 (+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y)))) (+.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 x 3)))) |
(/.f64 (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 692910599291889/10000000000000000 y) x)) |
(/.f64 (+.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 x 3)) (+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y))))) |
(/.f64 (+.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 692910599291889/10000000000000000 (*.f64 y x))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y))) (-.f64 x (*.f64 692910599291889/10000000000000000 y))) |
(/.f64 (neg.f64 (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 692910599291889/10000000000000000 y) x))) |
(/.f64 (neg.f64 (+.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 x 3))) (neg.f64 (+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y)))))) |
(pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 1) |
(pow.f64 (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 3) |
(pow.f64 (pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 2)) |
(log.f64 (exp.f64 (fma.f64 692910599291889/10000000000000000 y x))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 692910599291889/10000000000000000 y x)))) |
(cbrt.f64 (pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 692910599291889/10000000000000000 y x))) |
(exp.f64 (log.f64 (fma.f64 692910599291889/10000000000000000 y x))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 692910599291889/10000000000000000 y x)) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 692910599291889/10000000000000000 y x))) |
(fma.f64 692910599291889/10000000000000000 y x) |
(fma.f64 y 692910599291889/10000000000000000 x) |
(fma.f64 1 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 1 x (*.f64 692910599291889/10000000000000000 y)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 692910599291889/10000000000000000 y)) |
(fma.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) x) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 692910599291889/10000000000000000 y)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) x) |
| Outputs |
|---|
x |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 692910599291889/10000000000000000 y) |
x |
x |
(-.f64 (exp.f64 (log1p.f64 (*.f64 692910599291889/10000000000000000 y))) 1) |
(*.f64 692910599291889/10000000000000000 y) |
(pow.f64 (*.f64 692910599291889/10000000000000000 y) 1) |
(*.f64 692910599291889/10000000000000000 y) |
(pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) |
(*.f64 692910599291889/10000000000000000 y) |
(pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3) |
(*.f64 692910599291889/10000000000000000 y) |
(pow.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) 1/3) |
(cbrt.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3))) |
(sqrt.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y))) |
(sqrt.f64 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))) |
(log.f64 (pow.f64 (exp.f64 y) 692910599291889/10000000000000000)) |
(*.f64 692910599291889/10000000000000000 y) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 692910599291889/10000000000000000 y)))) |
(*.f64 692910599291889/10000000000000000 y) |
(cbrt.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3))) |
(expm1.f64 (log1p.f64 (*.f64 692910599291889/10000000000000000 y))) |
(*.f64 692910599291889/10000000000000000 y) |
(exp.f64 (log.f64 (*.f64 692910599291889/10000000000000000 y))) |
(*.f64 692910599291889/10000000000000000 y) |
(exp.f64 (*.f64 (log.f64 (*.f64 692910599291889/10000000000000000 y)) 1)) |
(*.f64 692910599291889/10000000000000000 y) |
(log1p.f64 (expm1.f64 (*.f64 692910599291889/10000000000000000 y))) |
(*.f64 692910599291889/10000000000000000 y) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 692910599291889/10000000000000000 y x))) 1) |
(fma.f64 692910599291889/10000000000000000 y x) |
(-.f64 (/.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (-.f64 (*.f64 692910599291889/10000000000000000 y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 692910599291889/10000000000000000 y) x))) |
(/.f64 (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 692910599291889/10000000000000000 y) x)) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -480125098611044764748221188321/100000000000000000000000000000000)) (fma.f64 y -692910599291889/10000000000000000 x)) |
(*.f64 (fma.f64 692910599291889/10000000000000000 y x) 1) |
(fma.f64 692910599291889/10000000000000000 y x) |
(*.f64 1 (fma.f64 692910599291889/10000000000000000 y x)) |
(fma.f64 692910599291889/10000000000000000 y x) |
(*.f64 (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x))) |
(fma.f64 692910599291889/10000000000000000 y x) |
(*.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (pow.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 2)) |
(fma.f64 692910599291889/10000000000000000 y x) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 2) (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x))) |
(fma.f64 692910599291889/10000000000000000 y x) |
(*.f64 (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x))) |
(/.f64 (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 692910599291889/10000000000000000 y) x)) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -480125098611044764748221188321/100000000000000000000000000000000)) (fma.f64 y -692910599291889/10000000000000000 x)) |
(*.f64 (+.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 x 3)) (/.f64 1 (+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y)))))) |
(/.f64 (*.f64 (fma.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3) (pow.f64 x 3)) 1) (fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (*.f64 x (+.f64 x (*.f64 -692910599291889/10000000000000000 y))))) |
(/.f64 (fma.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 y -692910599291889/10000000000000000)) (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)))) |
(/.f64 (fma.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 y -692910599291889/10000000000000000 x) (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)))) |
(/.f64 (fma.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 y -692910599291889/10000000000000000 x) (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)))) |
(/.f64 1 (/.f64 (-.f64 (*.f64 692910599291889/10000000000000000 y) x) (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 692910599291889/10000000000000000 y) x)) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -480125098611044764748221188321/100000000000000000000000000000000)) (fma.f64 y -692910599291889/10000000000000000 x)) |
(/.f64 1 (/.f64 (+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y)))) (+.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 x 3)))) |
(/.f64 (*.f64 (fma.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3) (pow.f64 x 3)) 1) (fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (*.f64 x (+.f64 x (*.f64 -692910599291889/10000000000000000 y))))) |
(/.f64 (fma.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 y -692910599291889/10000000000000000)) (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)))) |
(/.f64 (fma.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 y -692910599291889/10000000000000000 x) (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)))) |
(/.f64 (fma.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 y -692910599291889/10000000000000000 x) (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)))) |
(/.f64 (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 692910599291889/10000000000000000 y) x)) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -480125098611044764748221188321/100000000000000000000000000000000)) (fma.f64 y -692910599291889/10000000000000000 x)) |
(/.f64 (+.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 x 3)) (+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y))))) |
(/.f64 (*.f64 (fma.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3) (pow.f64 x 3)) 1) (fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (*.f64 x (+.f64 x (*.f64 -692910599291889/10000000000000000 y))))) |
(/.f64 (fma.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 y -692910599291889/10000000000000000)) (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)))) |
(/.f64 (fma.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 y -692910599291889/10000000000000000 x) (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)))) |
(/.f64 (fma.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 y -692910599291889/10000000000000000 x) (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)))) |
(/.f64 (+.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 692910599291889/10000000000000000 (*.f64 y x))))) |
(/.f64 (*.f64 (fma.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3) (pow.f64 x 3)) 1) (fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (*.f64 x (+.f64 x (*.f64 -692910599291889/10000000000000000 y))))) |
(/.f64 (fma.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 y -692910599291889/10000000000000000)) (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)))) |
(/.f64 (fma.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 y -692910599291889/10000000000000000 x) (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)))) |
(/.f64 (fma.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 y -692910599291889/10000000000000000 x) (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y))) (-.f64 x (*.f64 692910599291889/10000000000000000 y))) |
(/.f64 (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 692910599291889/10000000000000000 y) x)) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -480125098611044764748221188321/100000000000000000000000000000000)) (fma.f64 y -692910599291889/10000000000000000 x)) |
(/.f64 (neg.f64 (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 692910599291889/10000000000000000 y) x))) |
(/.f64 (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 692910599291889/10000000000000000 y) x)) |
(/.f64 (fma.f64 x x (*.f64 (*.f64 y y) -480125098611044764748221188321/100000000000000000000000000000000)) (fma.f64 y -692910599291889/10000000000000000 x)) |
(/.f64 (neg.f64 (+.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 x 3))) (neg.f64 (+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y)))))) |
(/.f64 (*.f64 (fma.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3) (pow.f64 x 3)) 1) (fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (*.f64 x (+.f64 x (*.f64 -692910599291889/10000000000000000 y))))) |
(/.f64 (fma.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 y -692910599291889/10000000000000000)) (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)))) |
(/.f64 (fma.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 y -692910599291889/10000000000000000 x) (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)))) |
(/.f64 (fma.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 y -692910599291889/10000000000000000 x) (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)))) |
(pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 1) |
(fma.f64 692910599291889/10000000000000000 y x) |
(pow.f64 (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 2) |
(fma.f64 692910599291889/10000000000000000 y x) |
(pow.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 3) |
(fma.f64 692910599291889/10000000000000000 y x) |
(pow.f64 (pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 3) 1/3) |
(fma.f64 692910599291889/10000000000000000 y x) |
(sqrt.f64 (pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 2)) |
(fma.f64 692910599291889/10000000000000000 y x) |
(log.f64 (exp.f64 (fma.f64 692910599291889/10000000000000000 y x))) |
(fma.f64 692910599291889/10000000000000000 y x) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 692910599291889/10000000000000000 y x)))) |
(fma.f64 692910599291889/10000000000000000 y x) |
(cbrt.f64 (pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 3)) |
(fma.f64 692910599291889/10000000000000000 y x) |
(expm1.f64 (log1p.f64 (fma.f64 692910599291889/10000000000000000 y x))) |
(fma.f64 692910599291889/10000000000000000 y x) |
(exp.f64 (log.f64 (fma.f64 692910599291889/10000000000000000 y x))) |
(fma.f64 692910599291889/10000000000000000 y x) |
(exp.f64 (*.f64 (log.f64 (fma.f64 692910599291889/10000000000000000 y x)) 1)) |
(fma.f64 692910599291889/10000000000000000 y x) |
(log1p.f64 (expm1.f64 (fma.f64 692910599291889/10000000000000000 y x))) |
(fma.f64 692910599291889/10000000000000000 y x) |
(fma.f64 692910599291889/10000000000000000 y x) |
(fma.f64 y 692910599291889/10000000000000000 x) |
(fma.f64 692910599291889/10000000000000000 y x) |
(fma.f64 1 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
(fma.f64 1 x (*.f64 692910599291889/10000000000000000 y)) |
(fma.f64 692910599291889/10000000000000000 y x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 692910599291889/10000000000000000 y)) |
(fma.f64 692910599291889/10000000000000000 y x) |
(fma.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 692910599291889/10000000000000000 y)) |
(fma.f64 692910599291889/10000000000000000 y (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
| 0.2b | (*.f64 279195317918525/3350343815022304 y) |
Compiled 14 to 9 computations (35.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
| 0.0ms | y | @ | inf | (+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
| 0.0ms | y | @ | -inf | (+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
| 1× | batch-egg-rewrite |
| 1612× | add-sqr-sqrt |
| 1588× | *-un-lft-identity |
| 1490× | add-cube-cbrt |
| 1476× | add-cbrt-cube |
| 154× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 9 |
| 1 | 152 | 9 |
| 2 | 1951 | 9 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 279195317918525/3350343815022304 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (-.f64 (*.f64 279195317918525/3350343815022304 y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 279195317918525/3350343815022304 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 279195317918525/3350343815022304 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 279195317918525/3350343815022304 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) (sqrt.f64 (fma.f64 279195317918525/3350343815022304 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) (pow.f64 (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) 2) (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 279195317918525/3350343815022304 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3)) (pow.f64 x 3)) (/.f64 1 (+.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 279195317918525/3350343815022304 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 279195317918525/3350343815022304 y) x) (-.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 279195317918525/3350343815022304 y)))) (+.f64 (*.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3)) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 279195317918525/3350343815022304 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3)) (pow.f64 x 3)) (+.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 279195317918525/3350343815022304 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3)) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 279195317918525/3350343815022304 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y))) (-.f64 x (*.f64 279195317918525/3350343815022304 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 279195317918525/3350343815022304 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3)) (pow.f64 x 3))) (neg.f64 (+.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 279195317918525/3350343815022304 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 279195317918525/3350343815022304 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 279195317918525/3350343815022304 y x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 279195317918525/3350343815022304 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 279195317918525/3350343815022304 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 279195317918525/3350343815022304 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 279195317918525/3350343815022304 y x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 279195317918525/3350343815022304 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 279195317918525/3350343815022304 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 279195317918525/3350343815022304 y x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 279195317918525/3350343815022304 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 279195317918525/3350343815022304 y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 279195317918525/3350343815022304 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 279195317918525/3350343815022304 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 279195317918525/3350343815022304 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 279195317918525/3350343815022304 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 279195317918525/3350343815022304 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2) (cbrt.f64 (*.f64 279195317918525/3350343815022304 y)) x))))) |
| 1× | egg-herbie |
| 1148× | associate-*r* |
| 952× | associate-*l* |
| 934× | associate-/r* |
| 678× | associate-+r+ |
| 482× | distribute-lft-neg-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 861 |
| 1 | 232 | 831 |
| 2 | 812 | 763 |
| 3 | 4220 | 763 |
| 1× | node limit |
| Inputs |
|---|
x |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
x |
x |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 279195317918525/3350343815022304 y x))) 1) |
(-.f64 (/.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (-.f64 (*.f64 279195317918525/3350343815022304 y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 279195317918525/3350343815022304 y) x))) |
(*.f64 (fma.f64 279195317918525/3350343815022304 y x) 1) |
(*.f64 1 (fma.f64 279195317918525/3350343815022304 y x)) |
(*.f64 (sqrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) (sqrt.f64 (fma.f64 279195317918525/3350343815022304 y x))) |
(*.f64 (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) (pow.f64 (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) 2) (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x))) |
(*.f64 (-.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 279195317918525/3350343815022304 y) x))) |
(*.f64 (+.f64 (*.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3)) (pow.f64 x 3)) (/.f64 1 (+.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 279195317918525/3350343815022304 y)))))) |
(/.f64 1 (/.f64 (-.f64 (*.f64 279195317918525/3350343815022304 y) x) (-.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x x)))) |
(/.f64 1 (/.f64 (+.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 279195317918525/3350343815022304 y)))) (+.f64 (*.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3)) (pow.f64 x 3)))) |
(/.f64 (-.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 279195317918525/3350343815022304 y) x)) |
(/.f64 (+.f64 (*.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3)) (pow.f64 x 3)) (+.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 279195317918525/3350343815022304 y))))) |
(/.f64 (+.f64 (*.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3)) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 279195317918525/3350343815022304 (*.f64 y x))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y))) (-.f64 x (*.f64 279195317918525/3350343815022304 y))) |
(/.f64 (neg.f64 (-.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 279195317918525/3350343815022304 y) x))) |
(/.f64 (neg.f64 (+.f64 (*.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3)) (pow.f64 x 3))) (neg.f64 (+.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 279195317918525/3350343815022304 y)))))) |
(pow.f64 (fma.f64 279195317918525/3350343815022304 y x) 1) |
(pow.f64 (sqrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) 3) |
(pow.f64 (pow.f64 (fma.f64 279195317918525/3350343815022304 y x) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 279195317918525/3350343815022304 y x) 2)) |
(log.f64 (exp.f64 (fma.f64 279195317918525/3350343815022304 y x))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 279195317918525/3350343815022304 y x)))) |
(cbrt.f64 (pow.f64 (fma.f64 279195317918525/3350343815022304 y x) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 279195317918525/3350343815022304 y x))) |
(exp.f64 (log.f64 (fma.f64 279195317918525/3350343815022304 y x))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 279195317918525/3350343815022304 y x)) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 279195317918525/3350343815022304 y x))) |
(fma.f64 279195317918525/3350343815022304 y x) |
(fma.f64 y 279195317918525/3350343815022304 x) |
(fma.f64 1 (*.f64 279195317918525/3350343815022304 y) x) |
(fma.f64 1 x (*.f64 279195317918525/3350343815022304 y)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 279195317918525/3350343815022304 y)) |
(fma.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) x) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 279195317918525/3350343815022304 y)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2) (cbrt.f64 (*.f64 279195317918525/3350343815022304 y)) x) |
| Outputs |
|---|
x |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
x |
x |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 279195317918525/3350343815022304 y x))) 1) |
(fma.f64 279195317918525/3350343815022304 y x) |
(-.f64 (/.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (-.f64 (*.f64 279195317918525/3350343815022304 y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 279195317918525/3350343815022304 y) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 y) y) (*.f64 x x)) (-.f64 (*.f64 279195317918525/3350343815022304 y) x)) |
(/.f64 (-.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 279195317918525/3350343815022304 y) x)) |
(/.f64 (fma.f64 x x (*.f64 y (*.f64 y -77950025547626246938538175625/11224803678858206361900017468416))) (fma.f64 y -279195317918525/3350343815022304 x)) |
(*.f64 (fma.f64 279195317918525/3350343815022304 y x) 1) |
(fma.f64 279195317918525/3350343815022304 y x) |
(*.f64 1 (fma.f64 279195317918525/3350343815022304 y x)) |
(fma.f64 279195317918525/3350343815022304 y x) |
(*.f64 (sqrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) (sqrt.f64 (fma.f64 279195317918525/3350343815022304 y x))) |
(fma.f64 279195317918525/3350343815022304 y x) |
(*.f64 (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) (pow.f64 (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) 2)) |
(fma.f64 279195317918525/3350343815022304 y x) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) 2) (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x))) |
(fma.f64 279195317918525/3350343815022304 y x) |
(*.f64 (-.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 279195317918525/3350343815022304 y) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 y) y) (*.f64 x x)) (-.f64 (*.f64 279195317918525/3350343815022304 y) x)) |
(/.f64 (-.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 279195317918525/3350343815022304 y) x)) |
(/.f64 (fma.f64 x x (*.f64 y (*.f64 y -77950025547626246938538175625/11224803678858206361900017468416))) (fma.f64 y -279195317918525/3350343815022304 x)) |
(*.f64 (+.f64 (*.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3)) (pow.f64 x 3)) (/.f64 1 (+.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 279195317918525/3350343815022304 y)))))) |
(/.f64 (*.f64 (fma.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3) (pow.f64 x 3)) 1) (fma.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y) (*.f64 x (+.f64 x (*.f64 -279195317918525/3350343815022304 y))))) |
(/.f64 (fma.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 y -279195317918525/3350343815022304)) (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)))) |
(/.f64 (fma.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 y -279195317918525/3350343815022304 x) (*.f64 y (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416)))) |
(/.f64 1 (/.f64 (-.f64 (*.f64 279195317918525/3350343815022304 y) x) (-.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 y) y) (*.f64 x x)) (-.f64 (*.f64 279195317918525/3350343815022304 y) x)) |
(/.f64 (-.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 279195317918525/3350343815022304 y) x)) |
(/.f64 (fma.f64 x x (*.f64 y (*.f64 y -77950025547626246938538175625/11224803678858206361900017468416))) (fma.f64 y -279195317918525/3350343815022304 x)) |
(/.f64 1 (/.f64 (+.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 279195317918525/3350343815022304 y)))) (+.f64 (*.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3)) (pow.f64 x 3)))) |
(/.f64 (*.f64 (fma.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3) (pow.f64 x 3)) 1) (fma.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y) (*.f64 x (+.f64 x (*.f64 -279195317918525/3350343815022304 y))))) |
(/.f64 (fma.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 y -279195317918525/3350343815022304)) (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)))) |
(/.f64 (fma.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 y -279195317918525/3350343815022304 x) (*.f64 y (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416)))) |
(/.f64 (-.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 279195317918525/3350343815022304 y) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 y) y) (*.f64 x x)) (-.f64 (*.f64 279195317918525/3350343815022304 y) x)) |
(/.f64 (fma.f64 x x (*.f64 y (*.f64 y -77950025547626246938538175625/11224803678858206361900017468416))) (fma.f64 y -279195317918525/3350343815022304 x)) |
(/.f64 (+.f64 (*.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3)) (pow.f64 x 3)) (+.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 279195317918525/3350343815022304 y))))) |
(/.f64 (*.f64 (fma.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3) (pow.f64 x 3)) 1) (fma.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y) (*.f64 x (+.f64 x (*.f64 -279195317918525/3350343815022304 y))))) |
(/.f64 (fma.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 y -279195317918525/3350343815022304)) (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)))) |
(/.f64 (fma.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 y -279195317918525/3350343815022304 x) (*.f64 y (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416)))) |
(/.f64 (+.f64 (*.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3)) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 279195317918525/3350343815022304 (*.f64 y x))))) |
(/.f64 (*.f64 (fma.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3) (pow.f64 x 3)) 1) (fma.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y) (*.f64 x (+.f64 x (*.f64 -279195317918525/3350343815022304 y))))) |
(/.f64 (fma.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 y -279195317918525/3350343815022304)) (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)))) |
(/.f64 (fma.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 y -279195317918525/3350343815022304 x) (*.f64 y (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y))) (-.f64 x (*.f64 279195317918525/3350343815022304 y))) |
(/.f64 (-.f64 (*.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 y) y) (*.f64 x x)) (-.f64 (*.f64 279195317918525/3350343815022304 y) x)) |
(/.f64 (-.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 279195317918525/3350343815022304 y) x)) |
(/.f64 (fma.f64 x x (*.f64 y (*.f64 y -77950025547626246938538175625/11224803678858206361900017468416))) (fma.f64 y -279195317918525/3350343815022304 x)) |
(/.f64 (neg.f64 (-.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 279195317918525/3350343815022304 y) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 y) y) (*.f64 x x)) (-.f64 (*.f64 279195317918525/3350343815022304 y) x)) |
(/.f64 (-.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 279195317918525/3350343815022304 y) x)) |
(/.f64 (fma.f64 x x (*.f64 y (*.f64 y -77950025547626246938538175625/11224803678858206361900017468416))) (fma.f64 y -279195317918525/3350343815022304 x)) |
(/.f64 (neg.f64 (+.f64 (*.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3)) (pow.f64 x 3))) (neg.f64 (+.f64 (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 279195317918525/3350343815022304 y)))))) |
(/.f64 (*.f64 (fma.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3) (pow.f64 x 3)) 1) (fma.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y) (*.f64 x (+.f64 x (*.f64 -279195317918525/3350343815022304 y))))) |
(/.f64 (fma.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 y -279195317918525/3350343815022304)) (*.f64 77950025547626246938538175625/11224803678858206361900017468416 (*.f64 y y)))) |
(/.f64 (fma.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 y -279195317918525/3350343815022304 x) (*.f64 y (*.f64 y 77950025547626246938538175625/11224803678858206361900017468416)))) |
(pow.f64 (fma.f64 279195317918525/3350343815022304 y x) 1) |
(fma.f64 279195317918525/3350343815022304 y x) |
(pow.f64 (sqrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) 2) |
(fma.f64 279195317918525/3350343815022304 y x) |
(pow.f64 (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) 3) |
(fma.f64 279195317918525/3350343815022304 y x) |
(pow.f64 (pow.f64 (fma.f64 279195317918525/3350343815022304 y x) 3) 1/3) |
(fma.f64 279195317918525/3350343815022304 y x) |
(sqrt.f64 (pow.f64 (fma.f64 279195317918525/3350343815022304 y x) 2)) |
(fma.f64 279195317918525/3350343815022304 y x) |
(log.f64 (exp.f64 (fma.f64 279195317918525/3350343815022304 y x))) |
(fma.f64 279195317918525/3350343815022304 y x) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 279195317918525/3350343815022304 y x)))) |
(fma.f64 279195317918525/3350343815022304 y x) |
(cbrt.f64 (pow.f64 (fma.f64 279195317918525/3350343815022304 y x) 3)) |
(fma.f64 279195317918525/3350343815022304 y x) |
(expm1.f64 (log1p.f64 (fma.f64 279195317918525/3350343815022304 y x))) |
(fma.f64 279195317918525/3350343815022304 y x) |
(exp.f64 (log.f64 (fma.f64 279195317918525/3350343815022304 y x))) |
(fma.f64 279195317918525/3350343815022304 y x) |
(exp.f64 (*.f64 (log.f64 (fma.f64 279195317918525/3350343815022304 y x)) 1)) |
(fma.f64 279195317918525/3350343815022304 y x) |
(log1p.f64 (expm1.f64 (fma.f64 279195317918525/3350343815022304 y x))) |
(fma.f64 279195317918525/3350343815022304 y x) |
(fma.f64 279195317918525/3350343815022304 y x) |
(fma.f64 y 279195317918525/3350343815022304 x) |
(fma.f64 279195317918525/3350343815022304 y x) |
(fma.f64 1 (*.f64 279195317918525/3350343815022304 y) x) |
(fma.f64 279195317918525/3350343815022304 y x) |
(fma.f64 1 x (*.f64 279195317918525/3350343815022304 y)) |
(fma.f64 279195317918525/3350343815022304 y x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 279195317918525/3350343815022304 y)) |
(fma.f64 279195317918525/3350343815022304 y x) |
(fma.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) x) |
(fma.f64 279195317918525/3350343815022304 y x) |
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 279195317918525/3350343815022304 y)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2) (cbrt.f64 (*.f64 279195317918525/3350343815022304 y)) x) |
(fma.f64 279195317918525/3350343815022304 y x) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) | |
| 0.2b | (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)) |
Compiled 22 to 16 computations (27.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)) |
| ✓ | 0.0b | (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x) |
| ✓ | 0.2b | (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) |
| 0.5b | (*.f64 692910599291889/10000000000000000 y) |
Compiled 37 to 19 computations (48.6% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | inf | (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) |
| 1.0ms | y | @ | 0 | (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x) |
| 0.0ms | y | @ | -inf | (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) |
| 0.0ms | y | @ | inf | (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) |
| 1× | batch-egg-rewrite |
| 1170× | associate-/r* |
| 1068× | distribute-rgt-in |
| 1034× | distribute-lft-in |
| 786× | associate-/l* |
| 286× | add-sqr-sqrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 51 |
| 1 | 273 | 51 |
| 2 | 3785 | 51 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) |
(+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 z 751220861604756070699018739433/10000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) (/.f64 (neg.f64 z) 751220861604756070699018739433/10000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y)) (/.f64 z (sqrt.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y)) (cbrt.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y))) (/.f64 z (cbrt.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (sqrt.f64 y)) (/.f64 z (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (pow.f64 (cbrt.f64 y) 2)) (/.f64 z (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (neg.f64 y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) 751220861604756070699018739433/10000000000000000000000000000000) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y 10000000000000000000000000000000/751220861604756070699018739433) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (/.f64 (sqrt.f64 z) 751220861604756070699018739433/10000000000000000000000000000000)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 (pow.f64 (cbrt.f64 z) 2) y)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (sqrt.f64 (/.f64 z 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| 1× | egg-herbie |
| 764× | associate-/l* |
| 720× | associate-*r* |
| 598× | associate-*l* |
| 560× | associate-/l/ |
| 548× | fma-def |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 588 | 9508 |
| 1 | 1690 | 9114 |
| 1× | node limit |
| Inputs |
|---|
x |
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) |
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) |
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) |
x |
x |
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) |
x |
x |
x |
(+.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x) |
(+.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x) |
(+.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) |
(+.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x) |
(+.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x) |
(+.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) |
(+.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x) |
(+.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x) |
(+.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x) |
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) |
x |
x |
(-.f64 (exp.f64 (log1p.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))) 1) |
(/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y)) |
(/.f64 y (/.f64 z 751220861604756070699018739433/10000000000000000000000000000000)) |
(/.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) 1) |
(/.f64 1 (/.f64 z (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y))) |
(/.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y) z) |
(/.f64 (neg.f64 y) (/.f64 (neg.f64 z) 751220861604756070699018739433/10000000000000000000000000000000)) |
(/.f64 (sqrt.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y)) (/.f64 z (sqrt.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y)))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y)) (cbrt.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y))) (/.f64 z (cbrt.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y)))) |
(/.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (sqrt.f64 y)) (/.f64 z (sqrt.f64 y))) |
(/.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (pow.f64 (cbrt.f64 y) 2)) (/.f64 z (cbrt.f64 y))) |
(/.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (neg.f64 y)) (neg.f64 z)) |
(/.f64 (*.f64 (neg.f64 y) 751220861604756070699018739433/10000000000000000000000000000000) (neg.f64 z)) |
(/.f64 (/.f64 y 10000000000000000000000000000000/751220861604756070699018739433) z) |
(/.f64 (/.f64 y (/.f64 (sqrt.f64 z) 751220861604756070699018739433/10000000000000000000000000000000)) (sqrt.f64 z)) |
(/.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 (pow.f64 (cbrt.f64 z) 2) y)) (cbrt.f64 z)) |
(/.f64 (neg.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y)) (neg.f64 z)) |
(/.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (/.f64 1 y)) |
(/.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (sqrt.f64 (/.f64 z y))) (sqrt.f64 (/.f64 z y))) |
(/.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (*.f64 (cbrt.f64 (/.f64 z y)) (cbrt.f64 (/.f64 z y)))) (cbrt.f64 (/.f64 z y))) |
(/.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 (sqrt.f64 y))) (/.f64 z (sqrt.f64 y))) |
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(/.f64 (/.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (neg.f64 y)) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z))) |
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(/.f64 (/.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (neg.f64 y)) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z))) |
(/.f64 (/.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (neg.f64 y)) (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 (neg.f64 z))) |
(/.f64 (/.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (neg.f64 y)) -1) z) |
(/.f64 (/.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (neg.f64 y)) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z)) |
(/.f64 (/.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (neg.f64 y)) (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z)) |
(/.f64 (/.f64 (*.f64 (neg.f64 y) 751220861604756070699018739433/10000000000000000000000000000000) 1) (neg.f64 z)) |
(/.f64 (/.f64 (*.f64 (neg.f64 y) 751220861604756070699018739433/10000000000000000000000000000000) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z))) |
(/.f64 (/.f64 (*.f64 (neg.f64 y) 751220861604756070699018739433/10000000000000000000000000000000) (pow.f64 (cbrt.f64 z) 2)) (neg.f64 (cbrt.f64 z))) |
(/.f64 (/.f64 (*.f64 (neg.f64 y) 751220861604756070699018739433/10000000000000000000000000000000) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z))) |
(/.f64 (/.f64 (*.f64 (neg.f64 y) 751220861604756070699018739433/10000000000000000000000000000000) (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 (neg.f64 z))) |
(/.f64 (/.f64 (*.f64 (neg.f64 y) 751220861604756070699018739433/10000000000000000000000000000000) -1) z) |
(/.f64 (/.f64 (*.f64 (neg.f64 y) 751220861604756070699018739433/10000000000000000000000000000000) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z)) |
(/.f64 (/.f64 (*.f64 (neg.f64 y) 751220861604756070699018739433/10000000000000000000000000000000) (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z)) |
(/.f64 (/.f64 (/.f64 y 10000000000000000000000000000000/751220861604756070699018739433) 1) z) |
(/.f64 (/.f64 (/.f64 y 10000000000000000000000000000000/751220861604756070699018739433) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2)) |
(/.f64 (/.f64 (/.f64 y (/.f64 (sqrt.f64 z) 751220861604756070699018739433/10000000000000000000000000000000)) 1) (sqrt.f64 z)) |
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(/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 y 692910599291889/10000000000000000) 3) 3) (pow.f64 (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 3) 3)) (*.f64 (+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) (-.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) (*.f64 y 692910599291889/10000000000000000)))) (+.f64 (*.f64 (pow.f64 (*.f64 y 692910599291889/10000000000000000) 3) (pow.f64 (*.f64 y 692910599291889/10000000000000000) 3)) (-.f64 (*.f64 (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 3) (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 3)) (*.f64 (pow.f64 (*.f64 y 692910599291889/10000000000000000) 3) (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 3)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) 3) (pow.f64 (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 2) 3)) (*.f64 (-.f64 (*.f64 y 692910599291889/10000000000000000) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) (+.f64 (*.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y))) (+.f64 (*.f64 (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 2) (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 2)) (*.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 2)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 2))) (neg.f64 (-.f64 (*.f64 y 692910599291889/10000000000000000) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y 692910599291889/10000000000000000) 3) (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 3))) (neg.f64 (+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) (-.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) (*.f64 y 692910599291889/10000000000000000)))))) |
(/.f64 (/.f64 (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 2)) 1) (-.f64 (*.f64 y 692910599291889/10000000000000000) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))) |
(/.f64 (/.f64 (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 2)) (sqrt.f64 (-.f64 (*.f64 y 692910599291889/10000000000000000) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))) (sqrt.f64 (-.f64 (*.f64 y 692910599291889/10000000000000000) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))) |
(/.f64 (/.f64 (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 2)) (*.f64 (cbrt.f64 (-.f64 (*.f64 y 692910599291889/10000000000000000) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))) (cbrt.f64 (-.f64 (*.f64 y 692910599291889/10000000000000000) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))))) (cbrt.f64 (-.f64 (*.f64 y 692910599291889/10000000000000000) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))) |
(/.f64 (/.f64 (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 2)) (+.f64 (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) (sqrt.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))) (-.f64 (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) (sqrt.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y 692910599291889/10000000000000000) 3) (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 3)) 1) (+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) (-.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) (*.f64 y 692910599291889/10000000000000000))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y 692910599291889/10000000000000000) 3) (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 3)) (sqrt.f64 (+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) (-.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) (*.f64 y 692910599291889/10000000000000000)))))) (sqrt.f64 (+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) (-.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) (*.f64 y 692910599291889/10000000000000000)))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y 692910599291889/10000000000000000) 3) (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) (-.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) (*.f64 y 692910599291889/10000000000000000))))) (cbrt.f64 (+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) (-.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) (*.f64 y 692910599291889/10000000000000000))))))) (cbrt.f64 (+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) (-.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) (*.f64 y 692910599291889/10000000000000000)))))) |
(pow.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) 1) |
(pow.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))) 3) |
(pow.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) 2)) |
(log.f64 (exp.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))))) |
(cbrt.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))) |
(exp.f64 (log.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))) |
(fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) |
(fma.f64 692910599291889/10000000000000000 y (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) |
(fma.f64 1 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) (*.f64 y 692910599291889/10000000000000000)) |
(fma.f64 1 (*.f64 y 692910599291889/10000000000000000) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) |
(fma.f64 (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) |
(fma.f64 (sqrt.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) (sqrt.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) (*.f64 y 692910599291889/10000000000000000)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) 2) (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) 2) (cbrt.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) (*.f64 y 692910599291889/10000000000000000)) |
| Outputs |
|---|
x |
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) |
(/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y)) |
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) |
(/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y)) |
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) |
(/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y)) |
x |
x |
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) |
(/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y)) |
x |
x |
x |
(+.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x) |
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x) |
(+.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x) |
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x) |
(+.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x) |
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
(+.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x) |
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x) |
(+.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x) |
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x) |
(+.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x) |
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
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(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x) |
(+.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x) |
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x) |
(+.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x) |
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x) |
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) |
(/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y)) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
(fma.f64 y 692910599291889/10000000000000000 x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
(fma.f64 y 692910599291889/10000000000000000 x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
x |
x |
(-.f64 (exp.f64 (log1p.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))) 1) |
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) |
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(pow.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))) 2) |
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x) |
(pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))) 3) |
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x) |
(pow.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) 3) 1/3) |
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x) |
(sqrt.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) 2)) |
(fabs.f64 (fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)) |
(log.f64 (exp.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))) |
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))))) |
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x) |
(cbrt.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) 3)) |
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x) |
(expm1.f64 (log1p.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))) |
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x) |
(exp.f64 (log.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))) |
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x) |
(exp.f64 (*.f64 (log.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))) 1)) |
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x) |
(log1p.f64 (expm1.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))) |
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x) |
(fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) |
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x) |
(fma.f64 692910599291889/10000000000000000 y (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) |
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x) |
(fma.f64 1 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) (*.f64 y 692910599291889/10000000000000000)) |
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x) |
(fma.f64 1 (*.f64 y 692910599291889/10000000000000000) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) |
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x) |
(fma.f64 (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) |
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x) |
(fma.f64 (sqrt.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) (sqrt.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) (*.f64 y 692910599291889/10000000000000000)) |
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) 2) (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) |
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) 2) (cbrt.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) (*.f64 y 692910599291889/10000000000000000)) |
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) | |
| ✓ | 0.3b | (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) |
| ✓ | 3.4b | (/.f64 y (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625))) |
| ✓ | 7.7b | (*.f64 (/.f64 y (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625))) (-.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z))) |
Compiled 74 to 46 computations (37.8% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | (/.f64 y (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625))) |
| 2.0ms | y | @ | 0 | (*.f64 (/.f64 y (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625))) (-.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z))) |
| 1.0ms | z | @ | inf | (/.f64 y (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625))) |
| 1.0ms | y | @ | 0 | (/.f64 y (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625))) |
| 1.0ms | y | @ | inf | (*.f64 (/.f64 y (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625))) (-.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z))) |
| 1× | batch-egg-rewrite |
| 1340× | associate-/r* |
| 1166× | associate-/l* |
| 672× | associate-/r/ |
| 372× | associate-/l/ |
| 336× | add-sqr-sqrt |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 81 |
| 1 | 338 | 57 |
| 2 | 4498 | 57 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 y (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625))) (-.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z))) |
(/.f64 y (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625))) |
(*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 y (+.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 (*.f64 z z) -24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625))) 3350343815022304/279195317918525) (*.f64 (/.f64 y (+.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 (*.f64 z z) -24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625))) (*.f64 z -155900051080628738716045985239/389750127738131234692690878125)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 y (+.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 (*.f64 z z) -24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625))) (*.f64 z -155900051080628738716045985239/389750127738131234692690878125)) (*.f64 (/.f64 y (+.f64 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11224803678858206361900017468416/77950025547626246938538175625 (*.f64 (*.f64 z z) -24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625)) (*.f64 (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125)) (/.f64 (+.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 (*.f64 z z) -24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 (*.f64 z z) -24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625)) (/.f64 (*.f64 (/.f64 (+.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 (*.f64 z z) 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| 1× | egg-herbie |
| 1110× | associate-/l* |
| 982× | associate-/l/ |
| 914× | associate-*r* |
| 898× | associate-*l* |
| 836× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 738 | 18785 |
| 1 | 2142 | 18589 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)) y) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (pow.f64 z 2)))) |
(/.f64 (*.f64 (-.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)) y) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (pow.f64 z 2)))) |
(/.f64 (*.f64 (-.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)) y) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (pow.f64 z 2)))) |
(/.f64 (*.f64 (-.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)) y) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (pow.f64 z 2)))) |
(/.f64 (*.f64 (-.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)) y) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (pow.f64 z 2)))) |
(/.f64 (*.f64 (-.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)) y) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (pow.f64 z 2)))) |
(/.f64 (*.f64 (-.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)) y) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (pow.f64 z 2)))) |
(/.f64 (*.f64 (-.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)) y) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (pow.f64 z 2)))) |
(/.f64 (*.f64 (-.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)) y) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (pow.f64 z 2)))) |
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (+.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 (*.f64 z z) -24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625)))))) |
(cbrt.f64 (pow.f64 (/.f64 y (+.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 (*.f64 z z) -24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 (*.f64 z z) -24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625)) 3))) |
(expm1.f64 (log1p.f64 (/.f64 y (+.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 (*.f64 z z) -24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625))))) |
(exp.f64 (log.f64 (/.f64 y (+.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 (*.f64 z z) -24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 (*.f64 z z) -24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625)))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 y (+.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 (*.f64 z z) -24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625))) 1) |
(pow.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) 1) |
(pow.f64 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125) 2) |
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125)) 2) 3) |
(pow.f64 (*.f64 (pow.f64 (*.f64 z z) 3) 14357457682723205283625139894096508420565662119029595276638025181399338513532241565544264892301273872757334222361273418217090558244636500818354315496833713985778472423323472561/3505238694043887944267814689128072623866335753671827134637222117095805741861138245627287499755218642564337893319808442966169110335348274397856085400083011464215815067291259765625) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 z 4) 590724563338983643962372834531741920535364530494984699021859876952259105769148219366939901641144597718544886593668641/23075178264087051070482969231271702559878319920565278822026166730816001689509798152632049183866064362594699859619140625)) |
(log.f64 (pow.f64 (exp.f64 z) (*.f64 z 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625)))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 z z) 3) 14357457682723205283625139894096508420565662119029595276638025181399338513532241565544264892301273872757334222361273418217090558244636500818354315496833713985778472423323472561/3505238694043887944267814689128072623866335753671827134637222117095805741861138245627287499755218642564337893319808442966169110335348274397856085400083011464215815067291259765625)) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625))) |
(exp.f64 (log.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625))) |
| Outputs |
|---|
(/.f64 (*.f64 (-.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)) y) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (pow.f64 z 2)))) |
(/.f64 (*.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125))) (+.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z (*.f64 z -24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625)))) |
(/.f64 (*.f64 (-.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)) y) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (pow.f64 z 2)))) |
(/.f64 (*.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125))) (+.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z (*.f64 z -24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625)))) |
(/.f64 (*.f64 (-.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)) y) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (pow.f64 z 2)))) |
(/.f64 (*.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125))) (+.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z (*.f64 z -24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625)))) |
(/.f64 (*.f64 (-.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)) y) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (pow.f64 z 2)))) |
(/.f64 (*.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125))) (+.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z (*.f64 z -24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625)))) |
(/.f64 (*.f64 (-.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)) y) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (pow.f64 z 2)))) |
(/.f64 (*.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125))) (+.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z (*.f64 z -24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625)))) |
(/.f64 (*.f64 (-.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)) y) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (pow.f64 z 2)))) |
(/.f64 (*.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125))) (+.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z (*.f64 z -24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625)))) |
(/.f64 (*.f64 (-.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)) y) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (pow.f64 z 2)))) |
(/.f64 (*.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125))) (+.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z (*.f64 z -24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625)))) |
(/.f64 (*.f64 (-.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)) y) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (pow.f64 z 2)))) |
(/.f64 (*.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125))) (+.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z (*.f64 z -24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625)))) |
(/.f64 (*.f64 (-.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)) y) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (pow.f64 z 2)))) |
(/.f64 (*.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125))) (+.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z (*.f64 z -24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625)))) |
(/.f64 (*.f64 (-.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)) y) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (pow.f64 z 2)))) |
(/.f64 (*.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125))) (+.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z (*.f64 z -24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625)))) |
(/.f64 (*.f64 (-.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)) y) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (pow.f64 z 2)))) |
(/.f64 (*.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125))) (+.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z (*.f64 z -24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625)))) |
(/.f64 (*.f64 (-.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)) y) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (pow.f64 z 2)))) |
(/.f64 (*.f64 y (+.f64 3350343815022304/279195317918525 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125))) (+.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z (*.f64 z -24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625)))) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 y 279195317918525/3350343815022304) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) |
(fma.f64 279195317918525/3350343815022304 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y))) |
(fma.f64 279195317918525/3350343815022304 y (*.f64 z (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080))) |
(+.f64 (*.f64 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))) |
(fma.f64 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 (*.f64 y (*.f64 z z)) (fma.f64 279195317918525/3350343815022304 y (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y)))) |
(fma.f64 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 (*.f64 z (*.f64 z y)) (fma.f64 279195317918525/3350343815022304 y (*.f64 z (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080)))) |
(+.f64 (*.f64 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) (*.f64 -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/1227676047884713938902136124406103421221733893494451051781282641087889373841742558085120000000 (*.f64 y (pow.f64 z 3)))))) |
(fma.f64 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 (*.f64 y (*.f64 z z)) (fma.f64 279195317918525/3350343815022304 y (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) (*.f64 -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/1227676047884713938902136124406103421221733893494451051781282641087889373841742558085120000000 (*.f64 y (pow.f64 z 3)))))) |
(fma.f64 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 (*.f64 z (*.f64 z y)) (fma.f64 279195317918525/3350343815022304 y (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y) (*.f64 (pow.f64 z 3) (*.f64 y -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/1227676047884713938902136124406103421221733893494451051781282641087889373841742558085120000000))))) |
(*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z)) |
(+.f64 (*.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 (/.f64 y (pow.f64 z 2))) (*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z))) |
(fma.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 (/.f64 y (*.f64 z z)) (*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z))) |
(+.f64 (*.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 8525528110310493107217358829919565281594830955295884054148844818157602381311542450000000000/3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919 (/.f64 y (pow.f64 z 3))) (*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z)))) |
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(*.f64 (neg.f64 y) (/.f64 1 (+.f64 (*.f64 z (*.f64 z 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625)) -11224803678858206361900017468416/77950025547626246938538175625))) |
(/.f64 (neg.f64 y) (+.f64 (*.f64 z (*.f64 z 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625)) -11224803678858206361900017468416/77950025547626246938538175625)) |
(sqrt.f64 (pow.f64 (/.f64 y (+.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 (*.f64 z z) -24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625))) 2)) |
(sqrt.f64 (pow.f64 (/.f64 y (+.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z (*.f64 z -24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625)))) 2)) |
(log.f64 (exp.f64 (/.f64 y (+.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 (*.f64 z z) -24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625))))) |
(/.f64 y (+.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z (*.f64 z -24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (+.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 (*.f64 z z) -24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625)))))) |
(/.f64 y (+.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z (*.f64 z -24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625)))) |
(cbrt.f64 (pow.f64 (/.f64 y (+.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 (*.f64 z z) -24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625))) 3)) |
(/.f64 y (+.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z (*.f64 z -24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625)))) |
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 (*.f64 z z) -24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625)) 3))) |
(/.f64 y (+.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z (*.f64 z -24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625)))) |
(expm1.f64 (log1p.f64 (/.f64 y (+.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 (*.f64 z z) -24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625))))) |
(/.f64 y (+.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z (*.f64 z -24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625)))) |
(exp.f64 (log.f64 (/.f64 y (+.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 (*.f64 z z) -24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625))))) |
(/.f64 y (+.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z (*.f64 z -24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 (*.f64 z z) -24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625)))) 1)) |
(/.f64 y (+.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z (*.f64 z -24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625)))) |
(log1p.f64 (expm1.f64 (/.f64 y (+.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 (*.f64 z z) -24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625))))) |
(/.f64 y (+.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z (*.f64 z -24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625))) 1) |
(*.f64 z (*.f64 z 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625)) |
(pow.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) 1) |
(*.f64 z (*.f64 z 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625)) |
(pow.f64 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125) 2) |
(pow.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 2) |
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125)) 2) 3) |
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)) 2) 3) |
(pow.f64 (*.f64 (pow.f64 (*.f64 z z) 3) 14357457682723205283625139894096508420565662119029595276638025181399338513532241565544264892301273872757334222361273418217090558244636500818354315496833713985778472423323472561/3505238694043887944267814689128072623866335753671827134637222117095805741861138245627287499755218642564337893319808442966169110335348274397856085400083011464215815067291259765625) 1/3) |
(cbrt.f64 (*.f64 (pow.f64 z 6) 14357457682723205283625139894096508420565662119029595276638025181399338513532241565544264892301273872757334222361273418217090558244636500818354315496833713985778472423323472561/3505238694043887944267814689128072623866335753671827134637222117095805741861138245627287499755218642564337893319808442966169110335348274397856085400083011464215815067291259765625)) |
(sqrt.f64 (*.f64 (pow.f64 z 4) 590724563338983643962372834531741920535364530494984699021859876952259105769148219366939901641144597718544886593668641/23075178264087051070482969231271702559878319920565278822026166730816001689509798152632049183866064362594699859619140625)) |
(log.f64 (pow.f64 (exp.f64 z) (*.f64 z 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625))) |
(*.f64 (*.f64 z 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) (log.f64 (exp.f64 z))) |
(*.f64 z (*.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (log.f64 (exp.f64 z)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625)))) |
(*.f64 z (*.f64 z 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625)) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 z z) 3) 14357457682723205283625139894096508420565662119029595276638025181399338513532241565544264892301273872757334222361273418217090558244636500818354315496833713985778472423323472561/3505238694043887944267814689128072623866335753671827134637222117095805741861138245627287499755218642564337893319808442966169110335348274397856085400083011464215815067291259765625)) |
(cbrt.f64 (*.f64 (pow.f64 z 6) 14357457682723205283625139894096508420565662119029595276638025181399338513532241565544264892301273872757334222361273418217090558244636500818354315496833713985778472423323472561/3505238694043887944267814689128072623866335753671827134637222117095805741861138245627287499755218642564337893319808442966169110335348274397856085400083011464215815067291259765625)) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625))) |
(*.f64 z (*.f64 z 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625)) |
(exp.f64 (log.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625))) |
(*.f64 z (*.f64 z 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625)) 1)) |
(*.f64 z (*.f64 z 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625)) |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625))) |
(*.f64 z (*.f64 z 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625)) |
Compiled 25438 to 16511 computations (35.1% saved)
18 alts after pruning (12 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1036 | 6 | 1042 |
| Fresh | 1 | 6 | 7 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 6 | 7 |
| Total | 1039 | 18 | 1057 |
| Status | Error | Program |
|---|---|---|
| 43.5b | (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) | |
| ✓ | 48.6b | (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)) |
| ✓ | 16.2b | (+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
| ▶ | 44.6b | (+.f64 (*.f64 692910599291889/10000000000000000 y) (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y))) |
| ✓ | 12.1b | (+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
| ✓ | 20.4b | (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (/.f64 z (/.f64 1 (+.f64 z 6012459259764103/1000000000000000))) 104698244219447/31250000000000))) |
| 36.1b | (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (exp.f64 (log.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) 104698244219447/31250000000000))) | |
| 21.7b | (+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (/.f64 (+.f64 29028515918677826297037119458939297513676367/244140625000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) (+.f64 (*.f64 (*.f64 z z) 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 z 212953843275265618747988030847/6250000000000000000000000000000)))) z 11167812716741/40000000000000)))) | |
| ▶ | 14.3b | (+.f64 x (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))) |
| ✓ | 12.0b | (+.f64 x (/.f64 y 10000000000000000/692910599291889)) |
| ✓ | 16.1b | (+.f64 x (/.f64 y 3350343815022304/279195317918525)) |
| 19.4b | (+.f64 x (/.f64 1 (/.f64 (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125)) y))) | |
| ▶ | 48.7b | (*.f64 (/.f64 y (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625))) (-.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z))) |
| 48.7b | (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) | |
| ▶ | 44.6b | (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
| 45.2b | (*.f64 279195317918525/3350343815022304 y) | |
| ▶ | 42.1b | (*.f64 692910599291889/10000000000000000 y) |
| 33.3b | x |
Compiled 428 to 329 computations (23.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) |
| ✓ | 0.1b | (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) |
| ✓ | 0.7b | (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) |
| ✓ | 3.5b | (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))) |
Compiled 64 to 39 computations (39.1% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | z | @ | 0 | (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))) |
| 2.0ms | y | @ | 0 | (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))) |
| 1.0ms | y | @ | inf | (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))) |
| 1.0ms | z | @ | 0 | (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) |
| 1.0ms | y | @ | -inf | (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))) |
| 1× | batch-egg-rewrite |
| 1270× | distribute-lft-in |
| 1078× | associate-/l* |
| 1050× | associate-/r/ |
| 644× | associate-/l/ |
| 316× | add-sqr-sqrt |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 70 |
| 1 | 306 | 66 |
| 2 | 4373 | 66 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))) |
(/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) |
(/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) |
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1176× | associate-*r* |
| 860× | *-commutative |
| 754× | associate-*l* |
| 678× | fma-def |
| 568× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 652 | 12336 |
| 1 | 1965 | 11710 |
| 1× | node limit |
| Inputs |
|---|
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(*.f64 692910599291889/10000000000000000 y) |
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(*.f64 692910599291889/10000000000000000 y) |
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(/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z 2)) |
(/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z 2)) |
(/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z 2)) |
(/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z 2)) |
(/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z 2)) |
(/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z 2)) |
(/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z 2)) |
(/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z 2)) |
(/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z 2)) |
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10000000000000000/692910599291889 |
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(/.f64 (sqrt.f64 (+.f64 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (pow.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) 3))) (/.f64 (+.f64 100000000000000000000000000000000/480125098611044764748221188321 (-.f64 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z)) (/.f64 -25040695386825202356633957981100000000000000000/110894589937885443621994424373863149572276123 z))) (sqrt.f64 (+.f64 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (pow.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z)))) (cbrt.f64 (-.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z))))) (/.f64 (-.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) (cbrt.f64 (-.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z)))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (pow.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) 3))) (cbrt.f64 (+.f64 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (pow.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) 3)))) (/.f64 (+.f64 100000000000000000000000000000000/480125098611044764748221188321 (-.f64 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z)) (/.f64 -25040695386825202356633957981100000000000000000/110894589937885443621994424373863149572276123 z))) (cbrt.f64 (+.f64 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (pow.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) 3))))) |
(/.f64 (-.f64 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z)) 100000000000000000000000000000000/480125098611044764748221188321) (-.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) 10000000000000000/692910599291889)) |
(/.f64 (-.f64 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/110678490697425871308449323144387990588420609595782468459764896371005709908743534603200161 (*.f64 (pow.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) 3) (pow.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) 3))) (*.f64 (+.f64 100000000000000000000000000000000/480125098611044764748221188321 (-.f64 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z)) (/.f64 -25040695386825202356633957981100000000000000000/110894589937885443621994424373863149572276123 z))) (-.f64 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (pow.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) 3)))) |
(/.f64 (-.f64 10000000000000000000000000000000000000000000000000000000000000000/230520110316265459487628991262802136350644949140489346799041 (*.f64 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z)) (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z)))) (*.f64 (-.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) (+.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z))))) |
(/.f64 (+.f64 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/36820937522505332111656278903373347547217454770393946248578417044545421079090332580067515372151915929671460366450726358408161590167409 (pow.f64 (pow.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) 3) 3)) (*.f64 (+.f64 100000000000000000000000000000000/480125098611044764748221188321 (-.f64 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z)) (/.f64 -25040695386825202356633957981100000000000000000/110894589937885443621994424373863149572276123 z))) (+.f64 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/110678490697425871308449323144387990588420609595782468459764896371005709908743534603200161 (-.f64 (*.f64 (pow.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) 3) (pow.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) 3)) (*.f64 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (pow.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) 3)))))) |
(/.f64 (-.f64 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/110678490697425871308449323144387990588420609595782468459764896371005709908743534603200161 (pow.f64 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z)) 3)) (*.f64 (-.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) (+.f64 (+.f64 10000000000000000000000000000000000000000000000000000000000000000/230520110316265459487628991262802136350644949140489346799041 (*.f64 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z)) (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z)))) (*.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z)))))) |
(/.f64 (neg.f64 (-.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z)))) (neg.f64 (-.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))) |
(/.f64 (neg.f64 (+.f64 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (pow.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) 3))) (neg.f64 (+.f64 100000000000000000000000000000000/480125098611044764748221188321 (-.f64 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z)) (/.f64 -25040695386825202356633957981100000000000000000/110894589937885443621994424373863149572276123 z))))) |
(pow.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 1) |
(pow.f64 (sqrt.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) 2) |
(pow.f64 (cbrt.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) 3) |
(pow.f64 (pow.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 2)) |
(log.f64 (exp.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))) |
(cbrt.f64 (pow.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 3)) |
(expm1.f64 (log.f64 (+.f64 10692910599291889/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))) |
(exp.f64 (log.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))) |
(fma.f64 -2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z) 10000000000000000/692910599291889) |
(fma.f64 1 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) 10000000000000000/692910599291889) |
(fma.f64 (sqrt.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) (sqrt.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 10000000000000000/692910599291889) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 2) (cbrt.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 10000000000000000/692910599291889) |
| Outputs |
|---|
(/.f64 y (-.f64 (+.f64 10000000000000000/692910599291889 (*.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (/.f64 1 (pow.f64 z 2)))) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)))) |
(/.f64 y (+.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) |
(/.f64 y (-.f64 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2) 10000000000000000/692910599291889) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) |
(/.f64 y (-.f64 (+.f64 10000000000000000/692910599291889 (*.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (/.f64 1 (pow.f64 z 2)))) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)))) |
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(/.f64 y (-.f64 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2) 10000000000000000/692910599291889) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) |
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(/.f64 y (-.f64 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2) 10000000000000000/692910599291889) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) |
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(/.f64 y (-.f64 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2) 10000000000000000/692910599291889) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) |
(/.f64 y (-.f64 (+.f64 10000000000000000/692910599291889 (*.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (/.f64 1 (pow.f64 z 2)))) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)))) |
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(/.f64 y (-.f64 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2) 10000000000000000/692910599291889) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) |
(/.f64 y (-.f64 (+.f64 10000000000000000/692910599291889 (*.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (/.f64 1 (pow.f64 z 2)))) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)))) |
(/.f64 y (+.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) |
(/.f64 y (-.f64 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2) 10000000000000000/692910599291889) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) |
(/.f64 y (-.f64 (+.f64 10000000000000000/692910599291889 (*.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (/.f64 1 (pow.f64 z 2)))) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)))) |
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(/.f64 y (+.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) |
(/.f64 y (-.f64 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2) 10000000000000000/692910599291889) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) |
(/.f64 y (-.f64 (+.f64 10000000000000000/692910599291889 (*.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (/.f64 1 (pow.f64 z 2)))) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)))) |
(/.f64 y (+.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) |
(/.f64 y (-.f64 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2) 10000000000000000/692910599291889) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) |
(/.f64 y (-.f64 (+.f64 10000000000000000/692910599291889 (*.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (/.f64 1 (pow.f64 z 2)))) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)))) |
(/.f64 y (+.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) |
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(/.f64 (-.f64 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/110678490697425871308449323144387990588420609595782468459764896371005709908743534603200161 (pow.f64 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z)) 3)) (*.f64 (-.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) (+.f64 (+.f64 10000000000000000000000000000000000000000000000000000000000000000/230520110316265459487628991262802136350644949140489346799041 (*.f64 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z)) (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z)))) (*.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z)))))) |
(/.f64 (-.f64 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/110678490697425871308449323144387990588420609595782468459764896371005709908743534603200161 (pow.f64 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z)) 3)) (*.f64 (-.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) (+.f64 10000000000000000000000000000000000000000000000000000000000000000/230520110316265459487628991262802136350644949140489346799041 (+.f64 (*.f64 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z)) (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z))) (/.f64 627036425455768970685241515145891528384819349665000387957210000000000000000000000000000000000/12297610077491763478716591460487554509824512177309163162196099596778412212082614955911129 (*.f64 z z)))))) |
(/.f64 (/.f64 (+.f64 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/110678490697425871308449323144387990588420609595782468459764896371005709908743534603200161 (/.f64 -246534845204788139253147594254430968308551244151050897465456804162707889926125573627657100536838389171431967577559624553156419854341615482224460865092793619283814777407144590361000000/16803468179780775216885921295796359872061317221194245805326762852066607351889310309205964427004314445680118554586096926030424169762141806681622926973858003506099309833171783849 (pow.f64 (*.f64 z z) 3))) (+.f64 10000000000000000000000000000000000000000000000000000000000000000/230520110316265459487628991262802136350644949140489346799041 (*.f64 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z)) (+.f64 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z)) 100000000000000000000000000000000/480125098611044764748221188321)))) (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) |
(/.f64 (neg.f64 (-.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z)))) (neg.f64 (-.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))) |
(/.f64 (-.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z))) (-.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) |
(/.f64 (+.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 -6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z))) (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) |
(/.f64 (neg.f64 (+.f64 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (pow.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) 3))) (neg.f64 (+.f64 100000000000000000000000000000000/480125098611044764748221188321 (-.f64 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z)) (/.f64 -25040695386825202356633957981100000000000000000/110894589937885443621994424373863149572276123 z))))) |
(*.f64 (+.f64 (/.f64 -15701428126281638947301330141368631288413274089051284127680697962118102326466829604788731000/4099203359163921159572197153495851503274837392436387720732033198926137404027538318637043 (pow.f64 z 3)) 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369) (/.f64 1 (+.f64 100000000000000000000000000000000/480125098611044764748221188321 (-.f64 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z)) (/.f64 -25040695386825202356633957981100000000000000000/110894589937885443621994424373863149572276123 z))))) |
(/.f64 (+.f64 (/.f64 -15701428126281638947301330141368631288413274089051284127680697962118102326466829604788731000/4099203359163921159572197153495851503274837392436387720732033198926137404027538318637043 (pow.f64 z 3)) 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369) (+.f64 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z)) (+.f64 (/.f64 25040695386825202356633957981100000000000000000/110894589937885443621994424373863149572276123 z) 100000000000000000000000000000000/480125098611044764748221188321))) |
(pow.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 1) |
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) |
(pow.f64 (sqrt.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) 2) |
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) |
(pow.f64 (cbrt.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) 3) |
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) |
(pow.f64 (pow.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 3) 1/3) |
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) |
(sqrt.f64 (pow.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 2)) |
(fabs.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) |
(log.f64 (exp.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))) |
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))) |
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) |
(cbrt.f64 (pow.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 3)) |
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) |
(expm1.f64 (log.f64 (+.f64 10692910599291889/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))) |
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) |
(exp.f64 (log.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))) |
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) |
(exp.f64 (*.f64 (log.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) 1)) |
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) |
(log1p.f64 (expm1.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))) |
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) |
(fma.f64 -2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z) 10000000000000000/692910599291889) |
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) |
(fma.f64 1 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) 10000000000000000/692910599291889) |
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) |
(fma.f64 (sqrt.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) (sqrt.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 10000000000000000/692910599291889) |
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 2) (cbrt.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 10000000000000000/692910599291889) |
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.5b | (*.f64 692910599291889/10000000000000000 y) |
Compiled 8 to 6 computations (25% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) |
| ✓ | 0.2b | (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) |
| ✓ | 0.4b | (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
Compiled 22 to 16 computations (27.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
| 0.0ms | y | @ | inf | (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
| 0.0ms | z | @ | 0 | (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
| 0.0ms | z | @ | inf | (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
| 0.0ms | z | @ | -inf | (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
| 1× | batch-egg-rewrite |
| 1220× | associate-*r/ |
| 916× | *-commutative |
| 804× | associate-*l/ |
| 682× | unswap-sqr |
| 536× | swap-sqr |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 39 |
| 1 | 204 | 39 |
| 2 | 2638 | 39 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
(/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) |
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (*.f64 y 692910599291889/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 1 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 480125098611044764748221188321/100000000000000000000000000000000 (/.f64 -564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (*.f64 z z))) 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| 1× | egg-herbie |
| 1338× | associate-/l/ |
| 970× | associate-/r/ |
| 560× | distribute-lft-neg-in |
| 556× | associate-*l* |
| 540× | associate-/l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 403 | 7126 |
| 1 | 1113 | 6826 |
| 2 | 4872 | 6688 |
| 1× | node limit |
| Inputs |
|---|
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(pow.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 1) |
(pow.f64 (sqrt.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) 2) |
(pow.f64 (cbrt.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) 3) |
(pow.f64 (pow.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 3) 1/3) |
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(sqrt.f64 (pow.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 2)) |
(log.f64 (exp.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))) |
(cbrt.f64 (pow.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 3)) |
(expm1.f64 (log.f64 (+.f64 10692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) |
(exp.f64 (log.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) |
(log1p.f64 (expm1.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) |
(fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (pow.f64 z -1) 692910599291889/10000000000000000) |
(fma.f64 1 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000) |
(fma.f64 (sqrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (sqrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 692910599291889/10000000000000000) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 2) (cbrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 692910599291889/10000000000000000) |
| Outputs |
|---|
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(pow.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 1) |
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) |
(-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)) |
(pow.f64 (sqrt.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) 2) |
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) |
(-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)) |
(pow.f64 (cbrt.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) 3) |
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(-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)) |
(pow.f64 (pow.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 3) 1/3) |
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(log.f64 (exp.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) |
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(-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)) |
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(cbrt.f64 (pow.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 3)) |
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(-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)) |
(exp.f64 (log.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) |
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(-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)) |
(log1p.f64 (expm1.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) |
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) |
(-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)) |
(fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (pow.f64 z -1) 692910599291889/10000000000000000) |
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) |
(-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)) |
(fma.f64 1 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000) |
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) |
(-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)) |
(fma.f64 (sqrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (sqrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 692910599291889/10000000000000000) |
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) |
(-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 2) (cbrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 692910599291889/10000000000000000) |
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) |
(-.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 692910599291889/10000000000000000 y) (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y))) |
| 0.5b | (*.f64 692910599291889/10000000000000000 y) | |
| ✓ | 0.5b | (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y)) |
Compiled 27 to 15 computations (44.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | inf | (+.f64 (*.f64 692910599291889/10000000000000000 y) (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y))) |
| 0.0ms | z | @ | 0 | (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y)) |
| 0.0ms | y | @ | 0 | (+.f64 (*.f64 692910599291889/10000000000000000 y) (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y))) |
| 0.0ms | z | @ | inf | (+.f64 (*.f64 692910599291889/10000000000000000 y) (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y))) |
| 0.0ms | y | @ | -inf | (+.f64 (*.f64 692910599291889/10000000000000000 y) (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y))) |
| 1× | batch-egg-rewrite |
| 1386× | associate-*l/ |
| 1312× | associate-/r* |
| 1088× | *-commutative |
| 796× | associate-/l* |
| 426× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 34 |
| 1 | 228 | 32 |
| 2 | 3096 | 32 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y)) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1008× | distribute-lft-neg-out |
| 802× | distribute-lft-neg-in |
| 742× | distribute-rgt-neg-in |
| 698× | associate-*r* |
| 578× | associate-*l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 344 | 7432 |
| 1 | 1031 | 6692 |
| 2 | 5300 | 6636 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) |
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) |
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(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) |
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(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) |
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(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) |
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(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) 3) (pow.f64 (*.f64 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 y z) 3)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y 692910599291889/10000000000000000) 2) (*.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) (-.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) (*.f64 y 692910599291889/10000000000000000)))))) (+.f64 (*.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3))) (-.f64 (*.f64 (*.f64 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 y z) 3)) (*.f64 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 y z) 3))) (*.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (*.f64 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 y z) 3)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y 692910599291889/10000000000000000) 2) (/.f64 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 z y) 2))) y) (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y 692910599291889/10000000000000000) 2) (/.f64 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 z y) 2))) 1) (*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y 692910599291889/10000000000000000) 2) (/.f64 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 z y) 2))) (sqrt.f64 (*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))) (sqrt.f64 (*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y 692910599291889/10000000000000000) 2) (/.f64 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 z y) 2))) (*.f64 (cbrt.f64 (*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) (cbrt.f64 (*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))) (cbrt.f64 (*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))) |
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(/.f64 (/.f64 (+.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (*.f64 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 y z) 3))) 1) (+.f64 (pow.f64 (*.f64 y 692910599291889/10000000000000000) 2) (*.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) (-.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) (*.f64 y 692910599291889/10000000000000000))))) |
(/.f64 (/.f64 (+.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (*.f64 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 y z) 3))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 y 692910599291889/10000000000000000) 2) (*.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) (-.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) (*.f64 y 692910599291889/10000000000000000)))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 y 692910599291889/10000000000000000) 2) (*.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) (-.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) (*.f64 y 692910599291889/10000000000000000)))))) |
(/.f64 (/.f64 (+.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (*.f64 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 y z) 3))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 y 692910599291889/10000000000000000) 2) (*.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) (-.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) (*.f64 y 692910599291889/10000000000000000))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 y 692910599291889/10000000000000000) 2) (*.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) (-.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) (*.f64 y 692910599291889/10000000000000000))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 y 692910599291889/10000000000000000) 2) (*.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) (-.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) (*.f64 y 692910599291889/10000000000000000)))))) |
(pow.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) 1) |
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) 3) |
(pow.f64 (pow.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) 2)) |
(log.f64 (exp.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))) |
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) 3)) |
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))) |
(exp.f64 (log.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))) |
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))) |
(fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) (*.f64 y 692910599291889/10000000000000000)) |
(fma.f64 y 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) |
(fma.f64 692910599291889/10000000000000000 y (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) |
(fma.f64 1 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) (*.f64 y 692910599291889/10000000000000000)) |
(fma.f64 1 (*.f64 y 692910599291889/10000000000000000) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) |
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(fma.f64 (sqrt.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) (sqrt.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) (*.f64 y 692910599291889/10000000000000000)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) 2) (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) 2) (cbrt.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) (*.f64 y 692910599291889/10000000000000000)) |
(fma.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y (*.f64 y 692910599291889/10000000000000000)) |
| Outputs |
|---|
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) |
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) |
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) |
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) |
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) |
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) |
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) |
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) |
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) |
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) |
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) |
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) |
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) |
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(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) |
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(exp.f64 (log.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
(*.f64 y (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) -692910599291889/10000000000000000)) |
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
(*.f64 y (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) -692910599291889/10000000000000000)) |
(fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) (*.f64 y 692910599291889/10000000000000000)) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
(*.f64 y (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) -692910599291889/10000000000000000)) |
(fma.f64 y 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
(*.f64 y (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) -692910599291889/10000000000000000)) |
(fma.f64 692910599291889/10000000000000000 y (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
(*.f64 y (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) -692910599291889/10000000000000000)) |
(fma.f64 1 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) (*.f64 y 692910599291889/10000000000000000)) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
(*.f64 y (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) -692910599291889/10000000000000000)) |
(fma.f64 1 (*.f64 y 692910599291889/10000000000000000) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
(*.f64 y (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) -692910599291889/10000000000000000)) |
(fma.f64 (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
(*.f64 y (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) -692910599291889/10000000000000000)) |
(fma.f64 (sqrt.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) (sqrt.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) (*.f64 y 692910599291889/10000000000000000)) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
(*.f64 y (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) -692910599291889/10000000000000000)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) 2) (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
(*.f64 y (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) -692910599291889/10000000000000000)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) 2) (cbrt.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) (*.f64 y 692910599291889/10000000000000000)) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
(*.f64 y (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) -692910599291889/10000000000000000)) |
(fma.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y (*.f64 y 692910599291889/10000000000000000)) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
(*.f64 y (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) -692910599291889/10000000000000000)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) | |
| 0.3b | (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625) | |
| 3.4b | (/.f64 y (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625))) | |
| 7.7b | (*.f64 (/.f64 y (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625))) (-.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z))) |
Compiled 56 to 35 computations (37.5% saved)
Compiled 32599 to 23082 computations (29.2% saved)
18 alts after pruning (7 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1257 | 2 | 1259 |
| Fresh | 2 | 5 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 10 | 10 |
| Total | 1259 | 18 | 1277 |
| Status | Error | Program |
|---|---|---|
| 43.5b | (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) | |
| ✓ | 48.6b | (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)) |
| 48.7b | (/.f64 1 (/.f64 (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125)) y)) | |
| ✓ | 16.2b | (+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
| ✓ | 44.6b | (+.f64 (*.f64 692910599291889/10000000000000000 y) (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y))) |
| ✓ | 12.1b | (+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
| ✓ | 20.4b | (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (/.f64 z (/.f64 1 (+.f64 z 6012459259764103/1000000000000000))) 104698244219447/31250000000000))) |
| 36.1b | (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (exp.f64 (log.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) 104698244219447/31250000000000))) | |
| 21.7b | (+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (/.f64 (+.f64 29028515918677826297037119458939297513676367/244140625000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) (+.f64 (*.f64 (*.f64 z z) 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 z 212953843275265618747988030847/6250000000000000000000000000000)))) z 11167812716741/40000000000000)))) | |
| ✓ | 14.3b | (+.f64 x (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))) |
| ✓ | 12.0b | (+.f64 x (/.f64 y 10000000000000000/692910599291889)) |
| ✓ | 16.1b | (+.f64 x (/.f64 y 3350343815022304/279195317918525)) |
| ✓ | 48.7b | (*.f64 (/.f64 y (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625))) (-.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z))) |
| 48.7b | (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) | |
| ✓ | 44.6b | (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
| 45.2b | (*.f64 y 279195317918525/3350343815022304) | |
| ✓ | 42.1b | (*.f64 692910599291889/10000000000000000 y) |
| 33.3b | x |
Compiled 248 to 191 computations (23% saved)
| Inputs |
|---|
x |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 y 279195317918525/3350343815022304) |
(+.f64 x (/.f64 y 3350343815022304/279195317918525)) |
(+.f64 x (/.f64 y 10000000000000000/692910599291889)) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) |
(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)) |
(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) |
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y))) |
(/.f64 1 (/.f64 (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125)) y)) |
(+.f64 x (/.f64 1 (/.f64 (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125)) y))) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x)) |
(*.f64 (/.f64 y (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625))) (-.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z))) |
(+.f64 x (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))) |
(+.f64 x (*.f64 (/.f64 y (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625))) (-.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (/.f64 z (/.f64 1 (+.f64 z 6012459259764103/1000000000000000))) 104698244219447/31250000000000))) |
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (exp.f64 (log.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) 104698244219447/31250000000000))) |
(+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) |
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))) |
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (/.f64 (+.f64 29028515918677826297037119458939297513676367/244140625000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) (+.f64 (*.f64 (*.f64 z z) 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 z 212953843275265618747988030847/6250000000000000000000000000000)))) z 11167812716741/40000000000000)))) |
(fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x) |
| Outputs |
|---|
(+.f64 x (/.f64 y 10000000000000000/692910599291889)) |
(fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x) |
(+.f64 x (/.f64 y 10000000000000000/692910599291889)) |
5 calls:
| 71.0ms | x |
| 36.0ms | z |
| 36.0ms | y |
| 23.0ms | (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
| 22.0ms | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
| Error | Segments | Branch |
|---|---|---|
| 8.4b | 6 | x |
| 8.5b | 3 | y |
| 0.1b | 3 | z |
| 0.2b | 2 | (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
| 0.2b | 2 | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
Compiled 400 to 279 computations (30.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 216.68552542882207 | 6.180635756879148e+20 |
| 20.0ms | -4.700155931197576e+19 | -12931576716862.42 |
| 35.0ms | 288× | body | 256 | valid |
Compiled 570 to 419 computations (26.5% saved)
| Inputs |
|---|
x |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 y 279195317918525/3350343815022304) |
(+.f64 x (/.f64 y 3350343815022304/279195317918525)) |
(+.f64 x (/.f64 y 10000000000000000/692910599291889)) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) |
(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)) |
(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) |
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y))) |
(/.f64 1 (/.f64 (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125)) y)) |
(+.f64 x (/.f64 1 (/.f64 (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125)) y))) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x)) |
(*.f64 (/.f64 y (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625))) (-.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z))) |
(+.f64 x (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))) |
(+.f64 x (*.f64 (/.f64 y (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625))) (-.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (/.f64 z (/.f64 1 (+.f64 z 6012459259764103/1000000000000000))) 104698244219447/31250000000000))) |
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (exp.f64 (log.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) 104698244219447/31250000000000))) |
(+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) |
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))) |
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (/.f64 (+.f64 29028515918677826297037119458939297513676367/244140625000000000000000000000000000000000000 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) (+.f64 (*.f64 (*.f64 z z) 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 94453173760125479739253764129/390625000000000000000000000000 (*.f64 z 212953843275265618747988030847/6250000000000000000000000000000)))) z 11167812716741/40000000000000)))) |
| Outputs |
|---|
(+.f64 x (/.f64 y 10000000000000000/692910599291889)) |
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (/.f64 z (/.f64 1 (+.f64 z 6012459259764103/1000000000000000))) 104698244219447/31250000000000))) |
(+.f64 x (/.f64 y 10000000000000000/692910599291889)) |
5 calls:
| 69.0ms | x |
| 39.0ms | z |
| 35.0ms | y |
| 21.0ms | (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
| 21.0ms | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
| Error | Segments | Branch |
|---|---|---|
| 8.4b | 6 | x |
| 8.5b | 3 | y |
| 0.1b | 3 | z |
| 0.3b | 2 | (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
| 0.3b | 2 | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
Compiled 383 to 268 computations (30% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 216.68552542882207 | 6.180635756879148e+20 |
| 5.0ms | -1.6691352789769345e+66 | -1.705372270960656e+64 |
| 12.0ms | 96× | body | 256 | valid |
Compiled 246 to 191 computations (22.4% saved)
| Inputs |
|---|
x |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 y 279195317918525/3350343815022304) |
(+.f64 x (/.f64 y 3350343815022304/279195317918525)) |
(+.f64 x (/.f64 y 10000000000000000/692910599291889)) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) |
(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)) |
(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) |
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y))) |
(/.f64 1 (/.f64 (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125)) y)) |
(+.f64 x (/.f64 1 (/.f64 (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125)) y))) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x)) |
(*.f64 (/.f64 y (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625))) (-.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z))) |
(+.f64 x (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))) |
(+.f64 x (*.f64 (/.f64 y (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625))) (-.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
| Outputs |
|---|
(+.f64 x (/.f64 y 10000000000000000/692910599291889)) |
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(+.f64 x (/.f64 y 10000000000000000/692910599291889)) |
5 calls:
| 48.0ms | x |
| 30.0ms | z |
| 29.0ms | y |
| 28.0ms | (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
| 26.0ms | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
| Error | Segments | Branch |
|---|---|---|
| 9.7b | 4 | x |
| 10.8b | 3 | y |
| 0.1b | 3 | z |
| 0.2b | 3 | (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
| 0.2b | 3 | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
Compiled 268 to 187 computations (30.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 216.68552542882207 | 6.180635756879148e+20 |
| 16.0ms | -1.0062835169527542e+68 | -4.0942910478350315e+66 |
| 18.0ms | 144× | body | 256 | valid |
Compiled 336 to 257 computations (23.5% saved)
| Inputs |
|---|
x |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 y 279195317918525/3350343815022304) |
(+.f64 x (/.f64 y 3350343815022304/279195317918525)) |
(+.f64 x (/.f64 y 10000000000000000/692910599291889)) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) |
(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)) |
(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) |
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y))) |
(/.f64 1 (/.f64 (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125)) y)) |
(+.f64 x (/.f64 1 (/.f64 (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125)) y))) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x)) |
(*.f64 (/.f64 y (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625))) (-.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z))) |
(+.f64 x (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))) |
(+.f64 x (*.f64 (/.f64 y (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625))) (-.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
| Outputs |
|---|
(+.f64 x (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))) |
(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) |
(+.f64 x (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))) |
3 calls:
| 49.0ms | x |
| 31.0ms | z |
| 29.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 9.7b | 4 | x |
| 10.8b | 3 | y |
| 0.7b | 3 | z |
Compiled 201 to 137 computations (31.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 2.4279828885497287e-16 | 216.68552542882207 |
| 23.0ms | -17.491025509780684 | -5.7875328594013575e-5 |
| 41.0ms | 304× | body | 256 | valid |
| 0.0ms | 1× | body | 256 | infinite |
Compiled 638 to 479 computations (24.9% saved)
| Inputs |
|---|
x |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 y 279195317918525/3350343815022304) |
(+.f64 x (/.f64 y 3350343815022304/279195317918525)) |
(+.f64 x (/.f64 y 10000000000000000/692910599291889)) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) |
(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)) |
(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) |
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y))) |
(/.f64 1 (/.f64 (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125)) y)) |
(+.f64 x (/.f64 1 (/.f64 (+.f64 3350343815022304/279195317918525 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125)) y))) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x)) |
(*.f64 (/.f64 y (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625))) (-.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z))) |
| Outputs |
|---|
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) |
(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) |
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) |
3 calls:
| 44.0ms | x |
| 28.0ms | z |
| 27.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 9.7b | 4 | x |
| 10.8b | 3 | y |
| 0.7b | 3 | z |
Compiled 150 to 103 computations (31.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 2.4279828885497287e-16 | 216.68552542882207 |
| 22.0ms | -17.491025509780684 | -5.7875328594013575e-5 |
| 39.0ms | 304× | body | 256 | valid |
| 0.0ms | 1× | body | 256 | infinite |
Compiled 524 to 403 computations (23.1% saved)
| Inputs |
|---|
x |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 y 279195317918525/3350343815022304) |
(+.f64 x (/.f64 y 3350343815022304/279195317918525)) |
(+.f64 x (/.f64 y 10000000000000000/692910599291889)) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) |
(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)) |
(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) |
| Outputs |
|---|
(+.f64 x (/.f64 y 10000000000000000/692910599291889)) |
(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) |
(+.f64 x (/.f64 y 10000000000000000/692910599291889)) |
3 calls:
| 30.0ms | x |
| 19.0ms | z |
| 19.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 9.7b | 4 | x |
| 10.8b | 3 | y |
| 0.8b | 3 | z |
Compiled 75 to 51 computations (32% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 2.4279828885497287e-16 | 216.68552542882207 |
| 20.0ms | -17.491025509780684 | -5.7875328594013575e-5 |
| 37.0ms | 304× | body | 256 | valid |
| 0.0ms | 2× | body | 256 | infinite |
Compiled 448 to 346 computations (22.8% saved)
| Inputs |
|---|
x |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 y 279195317918525/3350343815022304) |
(+.f64 x (/.f64 y 3350343815022304/279195317918525)) |
(+.f64 x (/.f64 y 10000000000000000/692910599291889)) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) |
(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)) |
| Outputs |
|---|
(+.f64 x (/.f64 y 10000000000000000/692910599291889)) |
(+.f64 x (/.f64 y 3350343815022304/279195317918525)) |
(+.f64 x (/.f64 y 10000000000000000/692910599291889)) |
3 calls:
| 28.0ms | x |
| 19.0ms | z |
| 17.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 9.7b | 4 | x |
| 10.8b | 3 | y |
| 1.0b | 3 | z |
Compiled 66 to 45 computations (31.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 2.4279828885497287e-16 | 216.68552542882207 |
| 20.0ms | -17.491025509780684 | -5.7875328594013575e-5 |
| 36.0ms | 304× | body | 256 | valid |
Compiled 372 to 289 computations (22.3% saved)
| Inputs |
|---|
x |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 y 279195317918525/3350343815022304) |
(+.f64 x (/.f64 y 3350343815022304/279195317918525)) |
| Outputs |
|---|
(*.f64 692910599291889/10000000000000000 y) |
(+.f64 x (/.f64 y 3350343815022304/279195317918525)) |
(*.f64 692910599291889/10000000000000000 y) |
3 calls:
| 18.0ms | y |
| 15.0ms | z |
| 11.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 13.6b | 3 | x |
| 13.4b | 5 | y |
| 12.9b | 3 | z |
Compiled 30 to 21 computations (30% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 6.180635756879148e+20 | 1.0128916517280095e+21 |
| 24.0ms | -1.705372270960656e+64 | -6.352515965053088e+41 |
| 29.0ms | 240× | body | 256 | valid |
Compiled 270 to 218 computations (19.3% saved)
| Inputs |
|---|
x |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 y 279195317918525/3350343815022304) |
| Outputs |
|---|
x |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 692910599291889/10000000000000000 y) |
x |
3 calls:
| 19.0ms | z |
| 17.0ms | x |
| 16.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 22.5b | 5 | x |
| 23.1b | 5 | y |
| 24.3b | 6 | z |
Compiled 25 to 18 computations (28% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 7.314560748637555e-80 | 5.251358319234987e-68 |
| 13.0ms | -4.381113720107456e-240 | -1.0629493883248717e-240 |
| 15.0ms | -7.70501337485174e-151 | -3.422787757510102e-153 |
| 17.0ms | -2.4364264458137514e-11 | -1.4460502761834821e-15 |
| 61.0ms | 496× | body | 256 | valid |
Compiled 428 to 359 computations (16.1% saved)
Total -38.1b remaining (-161.3%)
Threshold costs -38.1b (-161.3%)
| Inputs |
|---|
x |
(*.f64 692910599291889/10000000000000000 y) |
| Outputs |
|---|
x |
(*.f64 692910599291889/10000000000000000 y) |
x |
3 calls:
| 11.0ms | z |
| 8.0ms | x |
| 8.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 23.6b | 3 | x |
| 24.3b | 3 | y |
| 26.7b | 3 | z |
Compiled 19 to 14 computations (26.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 7.314560748637555e-80 | 5.251358319234987e-68 |
| 17.0ms | -2.4364264458137514e-11 | -1.4460502761834821e-15 |
| 36.0ms | 288× | body | 256 | valid |
Compiled 246 to 203 computations (17.5% saved)
| 1× | egg-herbie |
| 34× | +-commutative |
| 18× | if-if-or-not |
| 16× | *-commutative |
| 4× | sub-neg |
| 2× | 1-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 121 | 701 |
| 1 | 175 | 701 |
| 2 | 181 | 701 |
| 3 | 183 | 701 |
| 4 | 184 | 701 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 z -65000000000000000) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 12000000000000000) (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x) (+.f64 x (/.f64 y 10000000000000000/692910599291889)))) |
(if (<=.f64 z -99999999999999999209038626283633850822756121694230455365568299008) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 20000000000000000) (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (/.f64 z (/.f64 1 (+.f64 z 6012459259764103/1000000000000000))) 104698244219447/31250000000000))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)))) |
(if (<=.f64 z -4200000000000000107083779487679301882109501051920849012323392684032) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 500000000000) (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)))) |
(if (<=.f64 z -3039929748475085/562949953421312) (+.f64 x (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))) (if (<=.f64 z 6980579422424269/1125899906842624) (+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) (+.f64 x (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))))) |
(if (<=.f64 z -3039929748475085/562949953421312) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) (if (<=.f64 z 13/2) (+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))))) |
(if (<=.f64 z -3039929748475085/562949953421312) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 6980579422424269/1125899906842624) (+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)))) |
(if (<=.f64 z -3039929748475085/562949953421312) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 3152519739159347/562949953421312) (+.f64 x (/.f64 y 3350343815022304/279195317918525)) (+.f64 x (/.f64 y 10000000000000000/692910599291889)))) |
(if (<=.f64 z -550000000000000008903406472053155727088287744) (*.f64 692910599291889/10000000000000000 y) (if (<=.f64 z 900000000000000000000) (+.f64 x (/.f64 y 3350343815022304/279195317918525)) (*.f64 692910599291889/10000000000000000 y))) |
(if (<=.f64 x -8715097876569077/158456325028528675187087900672) x (if (<=.f64 x -4127771402148561/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936) (*.f64 692910599291889/10000000000000000 y) (if (<=.f64 x -196485792003873/58652475225036720546649669496166069228998121824605496380296088990333059082962747718339142176408838912879328274880511426712364770830486275482511413333124259062810366582741426385442408983508948533749841936858614266830705773786598571244254795994059356766208) (*.f64 279195317918525/3350343815022304 y) (if (<=.f64 x 1881960489343675/121416805764108066932466369176469931665150427440758720078238275608681517825325531136) (*.f64 692910599291889/10000000000000000 y) x)))) |
(if (<=.f64 x -1188422437713965/19807040628566084398385987584) x (if (<=.f64 x 93248106826835/971334446112864535459730953411759453321203419526069760625906204869452142602604249088) (*.f64 692910599291889/10000000000000000 y) x)) |
x |
| Outputs |
|---|
(if (<=.f64 z -65000000000000000) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 12000000000000000) (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x) (+.f64 x (/.f64 y 10000000000000000/692910599291889)))) |
(if (or (<=.f64 z -65000000000000000) (not (<=.f64 z 12000000000000000))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)) |
(if (<=.f64 z -99999999999999999209038626283633850822756121694230455365568299008) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 20000000000000000) (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (/.f64 z (/.f64 1 (+.f64 z 6012459259764103/1000000000000000))) 104698244219447/31250000000000))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)))) |
(if (or (<=.f64 z -99999999999999999209038626283633850822756121694230455365568299008) (not (<=.f64 z 20000000000000000))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (+.f64 x (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))))) (+.f64 104698244219447/31250000000000 (/.f64 z (/.f64 1 (+.f64 z 6012459259764103/1000000000000000))))))) |
(if (<=.f64 z -4200000000000000107083779487679301882109501051920849012323392684032) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 500000000000) (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)))) |
(if (or (<=.f64 z -4200000000000000107083779487679301882109501051920849012323392684032) (not (<=.f64 z 500000000000))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (+.f64 x (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))))) |
(if (<=.f64 z -3039929748475085/562949953421312) (+.f64 x (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))) (if (<=.f64 z 6980579422424269/1125899906842624) (+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) (+.f64 x (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))))) |
(if (or (<=.f64 z -3039929748475085/562949953421312) (not (<=.f64 z 6980579422424269/1125899906842624))) (+.f64 x (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))) (+.f64 x (/.f64 y (+.f64 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125) 3350343815022304/279195317918525)))) |
(if (or (<=.f64 z -3039929748475085/562949953421312) (not (<=.f64 z 6980579422424269/1125899906842624))) (+.f64 x (/.f64 y (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z)) (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))) (+.f64 x (/.f64 y (+.f64 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125) 3350343815022304/279195317918525)))) |
(if (<=.f64 z -3039929748475085/562949953421312) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) (if (<=.f64 z 13/2) (+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))))) |
(if (or (<=.f64 z -3039929748475085/562949953421312) (not (<=.f64 z 13/2))) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) (+.f64 x (/.f64 y (+.f64 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125) 3350343815022304/279195317918525)))) |
(if (<=.f64 z -3039929748475085/562949953421312) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 6980579422424269/1125899906842624) (+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)))) |
(if (or (<=.f64 z -3039929748475085/562949953421312) (not (<=.f64 z 6980579422424269/1125899906842624))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (+.f64 x (/.f64 y (+.f64 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125) 3350343815022304/279195317918525)))) |
(if (<=.f64 z -3039929748475085/562949953421312) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 3152519739159347/562949953421312) (+.f64 x (/.f64 y 3350343815022304/279195317918525)) (+.f64 x (/.f64 y 10000000000000000/692910599291889)))) |
(if (or (<=.f64 z -3039929748475085/562949953421312) (not (<=.f64 z 3152519739159347/562949953421312))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (+.f64 x (/.f64 y 3350343815022304/279195317918525))) |
(if (<=.f64 z -550000000000000008903406472053155727088287744) (*.f64 692910599291889/10000000000000000 y) (if (<=.f64 z 900000000000000000000) (+.f64 x (/.f64 y 3350343815022304/279195317918525)) (*.f64 692910599291889/10000000000000000 y))) |
(if (<=.f64 z -550000000000000008903406472053155727088287744) (*.f64 y 692910599291889/10000000000000000) (if (<=.f64 z 900000000000000000000) (+.f64 x (/.f64 y 3350343815022304/279195317918525)) (*.f64 y 692910599291889/10000000000000000))) |
(if (<=.f64 x -8715097876569077/158456325028528675187087900672) x (if (<=.f64 x -4127771402148561/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936) (*.f64 692910599291889/10000000000000000 y) (if (<=.f64 x -196485792003873/58652475225036720546649669496166069228998121824605496380296088990333059082962747718339142176408838912879328274880511426712364770830486275482511413333124259062810366582741426385442408983508948533749841936858614266830705773786598571244254795994059356766208) (*.f64 279195317918525/3350343815022304 y) (if (<=.f64 x 1881960489343675/121416805764108066932466369176469931665150427440758720078238275608681517825325531136) (*.f64 692910599291889/10000000000000000 y) x)))) |
(if (<=.f64 x -8715097876569077/158456325028528675187087900672) x (if (<=.f64 x -4127771402148561/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936) (*.f64 y 692910599291889/10000000000000000) (if (<=.f64 x -196485792003873/58652475225036720546649669496166069228998121824605496380296088990333059082962747718339142176408838912879328274880511426712364770830486275482511413333124259062810366582741426385442408983508948533749841936858614266830705773786598571244254795994059356766208) (*.f64 y 279195317918525/3350343815022304) (if (<=.f64 x 1881960489343675/121416805764108066932466369176469931665150427440758720078238275608681517825325531136) (*.f64 y 692910599291889/10000000000000000) x)))) |
(if (<=.f64 x -1188422437713965/19807040628566084398385987584) x (if (<=.f64 x 93248106826835/971334446112864535459730953411759453321203419526069760625906204869452142602604249088) (*.f64 692910599291889/10000000000000000 y) x)) |
(if (<=.f64 x -1188422437713965/19807040628566084398385987584) x (if (<=.f64 x 93248106826835/971334446112864535459730953411759453321203419526069760625906204869452142602604249088) (*.f64 y 692910599291889/10000000000000000) x)) |
x |
Compiled 298 to 216 computations (27.5% saved)
| 2× | egg-herbie |
| 1044× | fma-def |
| 1044× | fma-def |
| 212× | *-commutative |
| 212× | *-commutative |
| 114× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 49 |
| 1 | 41 | 49 |
| 2 | 77 | 45 |
| 3 | 155 | 45 |
| 4 | 300 | 45 |
| 5 | 497 | 45 |
| 6 | 703 | 45 |
| 7 | 808 | 45 |
| 8 | 989 | 45 |
| 9 | 1142 | 45 |
| 10 | 1202 | 45 |
| 11 | 1203 | 45 |
| 0 | 20 | 49 |
| 1 | 41 | 49 |
| 2 | 77 | 45 |
| 3 | 155 | 45 |
| 4 | 300 | 45 |
| 5 | 497 | 45 |
| 6 | 703 | 45 |
| 7 | 808 | 45 |
| 8 | 989 | 45 |
| 9 | 1142 | 45 |
| 10 | 1202 | 45 |
| 11 | 1203 | 45 |
| 1× | saturated |
| 1× | saturated |
Compiled 301 to 211 computations (29.9% saved)
Compiled 268 to 186 computations (30.6% saved)
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