Time bar (total: 15.3s)
| 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)
| 2.1s | 8256× | body | 256 | valid |
| 2× | egg-herbie |
| 2164× | fma-def_binary64 |
| 374× | distribute-rgt-out_binary64 |
| 341× | associate-/l*_binary64 |
| 273× | associate-*l*_binary64 |
| 218× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 100 |
| 1 | 109 | 100 |
| 2 | 233 | 92 |
| 3 | 609 | 92 |
| 4 | 1275 | 92 |
| 5 | 2293 | 92 |
| 6 | 2673 | 92 |
| 7 | 3080 | 92 |
| 8 | 3592 | 92 |
| 9 | 4303 | 92 |
| 10 | 4326 | 92 |
| 11 | 5764 | 92 |
| 12 | 5764 | 92 |
| 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 (/.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 (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 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (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 (*.f64 x (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000))) |
(+.f64 y (*.f64 (/.f64 x (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 |
| 722× | fma-def_binary64 |
| 94× | distribute-rgt-out_binary64 |
| 88× | associate-/l*_binary64 |
| 72× | associate-*l*_binary64 |
| 63× | *-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 25 |
| 1 | 39 | 25 |
| 2 | 74 | 23 |
| 3 | 179 | 23 |
| 4 | 358 | 23 |
| 5 | 619 | 23 |
| 6 | 883 | 23 |
| 7 | 1015 | 23 |
| 8 | 1261 | 23 |
| 9 | 1679 | 23 |
| 10 | 1743 | 23 |
| 11 | 1744 | 23 |
| 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) |
Compiled 41 to 29 computations (29.3% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 20.9b | (+.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))) |
| ▶ | 15.9b | (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) |
Compiled 44 to 32 computations (27.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) |
| ✓ | 0.5b | (*.f64 z 692910599291889/10000000000000000) |
| ✓ | 2.8b | (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) |
| ✓ | 20.2b | (/.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 | |
|---|---|---|---|---|
| 2.0ms | 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)) |
| 2.0ms | 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 | 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)) |
| 1.0ms | z | @ | 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)) |
| 1× | batch-egg-rewrite |
| 746× | prod-diff_binary64 |
| 355× | expm1-udef_binary64 |
| 355× | log1p-udef_binary64 |
| 203× | add-sqr-sqrt_binary64 |
| 192× | *-un-lft-identity_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 45 |
| 1 | 401 | 45 |
| 2 | 5487 | 45 |
| 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 |
|---|
((#(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 1 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))))) (#(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 (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 (*.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 1 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))) (#(struct:change #<rule 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11167812716741/40000000000000)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z 692910599291889/10000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z 692910599291889/10000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z 692910599291889/10000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z 692910599291889/10000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 z 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z 692910599291889/10000000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) 692910599291889/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z 692910599291889/10000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z 692910599291889/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z 692910599291889/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z 692910599291889/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z 692910599291889/10000000000000000)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z z) (*.f64 z 6012459259764103/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z 6012459259764103/1000000000000000) (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) z) (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000) z) (+.f64 z -6012459259764103/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3))) (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000)) (+.f64 z -6012459259764103/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (+.f64 z 6012459259764103/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 1)))))) |
| 1× | egg-herbie |
| 769× | fma-neg_binary64 |
| 532× | fma-def_binary64 |
| 447× | sub-neg_binary64 |
| 268× | associate-+l+_binary64 |
| 263× | cancel-sign-sub-inv_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 119 | 1292 |
| 1 | 363 | 1062 |
| 2 | 1327 | 980 |
| 3 | 5742 | 899 |
| 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)))))) |
(-.f64 (+.f64 (*.f64 307332350656623/625000000000000 (/.f64 y z)) (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 -1 (/.f64 (+.f64 (*.f64 6012459259764103/1000000000000000 (-.f64 (*.f64 11167812716741/40000000000000 y) (+.f64 (*.f64 72546523146905574025723165383/312500000000000000000000000000 y) (*.f64 6012459259764103/1000000000000000 (-.f64 (*.f64 307332350656623/625000000000000 y) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 y)))))) (*.f64 104698244219447/31250000000000 (-.f64 (*.f64 307332350656623/625000000000000 y) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 y)))) (pow.f64 z 3)))))) (+.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)))))) |
(*.f64 692910599291889/10000000000000000 y) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -307332350656623/625000000000000 y) (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (*.f64 692910599291889/10000000000000000 y)) |
(-.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))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -307332350656623/625000000000000 y) (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (+.f64 (*.f64 104698244219447/31250000000000 (/.f64 (-.f64 (*.f64 -307332350656623/625000000000000 y) (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 y)) (pow.f64 z 3))) (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 -6012459259764103/1000000000000000 (/.f64 (-.f64 (*.f64 11167812716741/40000000000000 y) (+.f64 (*.f64 -6012459259764103/1000000000000000 (-.f64 (*.f64 -307332350656623/625000000000000 y) (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 y))) (*.f64 72546523146905574025723165383/312500000000000000000000000000 y))) (pow.f64 z 3))) (*.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))))) |
(*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) |
(*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) |
(*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) |
(*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) |
(*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) |
(*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) |
(*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) |
(*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) |
(*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) |
(*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) |
(*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) |
(*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) |
(*.f64 11167812716741/40000000000000 y) |
(+.f64 (*.f64 307332350656623/625000000000000 (*.f64 y z)) (*.f64 11167812716741/40000000000000 y)) |
(+.f64 (*.f64 307332350656623/625000000000000 (*.f64 y z)) (+.f64 (*.f64 11167812716741/40000000000000 y) (*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))))) |
(+.f64 (*.f64 307332350656623/625000000000000 (*.f64 y z)) (+.f64 (*.f64 11167812716741/40000000000000 y) (*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))))) |
(*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))) |
(+.f64 (*.f64 307332350656623/625000000000000 (*.f64 y z)) (*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2)))) |
(+.f64 (*.f64 307332350656623/625000000000000 (*.f64 y z)) (+.f64 (*.f64 11167812716741/40000000000000 y) (*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))))) |
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(*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))) |
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(+.f64 (*.f64 307332350656623/625000000000000 (*.f64 y z)) (+.f64 (*.f64 11167812716741/40000000000000 y) (*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))))) |
(+.f64 (*.f64 307332350656623/625000000000000 (*.f64 y z)) (+.f64 (*.f64 11167812716741/40000000000000 y) (*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))))) |
(*.f64 692910599291889/10000000000000000 z) |
(*.f64 692910599291889/10000000000000000 z) |
(*.f64 692910599291889/10000000000000000 z) |
(*.f64 692910599291889/10000000000000000 z) |
(*.f64 692910599291889/10000000000000000 z) |
(*.f64 692910599291889/10000000000000000 z) |
(*.f64 692910599291889/10000000000000000 z) |
(*.f64 692910599291889/10000000000000000 z) |
(*.f64 692910599291889/10000000000000000 z) |
(*.f64 692910599291889/10000000000000000 z) |
(*.f64 692910599291889/10000000000000000 z) |
(*.f64 692910599291889/10000000000000000 z) |
(*.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)) |
| Outputs |
|---|
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(*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) |
(*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) |
(*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) |
(*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) |
(*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) |
(*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) |
(*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) |
(*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) |
(*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) |
(*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) |
(*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) |
(*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) |
(*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) |
(*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) |
(*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) |
(*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(*.f64 11167812716741/40000000000000 y) |
(*.f64 y 11167812716741/40000000000000) |
(+.f64 (*.f64 307332350656623/625000000000000 (*.f64 y z)) (*.f64 11167812716741/40000000000000 y)) |
(fma.f64 307332350656623/625000000000000 (*.f64 y z) (*.f64 y 11167812716741/40000000000000)) |
(*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 307332350656623/625000000000000 z))) |
(+.f64 (*.f64 307332350656623/625000000000000 (*.f64 y z)) (+.f64 (*.f64 11167812716741/40000000000000 y) (*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))))) |
(*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) |
(*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(+.f64 (*.f64 307332350656623/625000000000000 (*.f64 y z)) (+.f64 (*.f64 11167812716741/40000000000000 y) (*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))))) |
(*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) |
(*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))) |
(*.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 z z)) |
(*.f64 y (*.f64 692910599291889/10000000000000000 (*.f64 z z))) |
(*.f64 y (*.f64 z (*.f64 692910599291889/10000000000000000 z))) |
(+.f64 (*.f64 307332350656623/625000000000000 (*.f64 y z)) (*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2)))) |
(fma.f64 307332350656623/625000000000000 (*.f64 y z) (*.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 z z))) |
(fma.f64 307332350656623/625000000000000 (*.f64 y z) (*.f64 y (*.f64 692910599291889/10000000000000000 (*.f64 z z)))) |
(*.f64 z (*.f64 y (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000))) |
(+.f64 (*.f64 307332350656623/625000000000000 (*.f64 y z)) (+.f64 (*.f64 11167812716741/40000000000000 y) (*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))))) |
(*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) |
(*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(+.f64 (*.f64 307332350656623/625000000000000 (*.f64 y z)) (+.f64 (*.f64 11167812716741/40000000000000 y) (*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))))) |
(*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) |
(*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))) |
(*.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 z z)) |
(*.f64 y (*.f64 692910599291889/10000000000000000 (*.f64 z z))) |
(*.f64 y (*.f64 z (*.f64 692910599291889/10000000000000000 z))) |
(+.f64 (*.f64 307332350656623/625000000000000 (*.f64 y z)) (*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2)))) |
(fma.f64 307332350656623/625000000000000 (*.f64 y z) (*.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 z z))) |
(fma.f64 307332350656623/625000000000000 (*.f64 y z) (*.f64 y (*.f64 692910599291889/10000000000000000 (*.f64 z z)))) |
(*.f64 z (*.f64 y (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000))) |
(+.f64 (*.f64 307332350656623/625000000000000 (*.f64 y z)) (+.f64 (*.f64 11167812716741/40000000000000 y) (*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))))) |
(*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) |
(*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(+.f64 (*.f64 307332350656623/625000000000000 (*.f64 y z)) (+.f64 (*.f64 11167812716741/40000000000000 y) (*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))))) |
(*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))))) |
(*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(*.f64 692910599291889/10000000000000000 z) |
(*.f64 692910599291889/10000000000000000 z) |
(*.f64 692910599291889/10000000000000000 z) |
(*.f64 692910599291889/10000000000000000 z) |
(*.f64 692910599291889/10000000000000000 z) |
(*.f64 692910599291889/10000000000000000 z) |
(*.f64 692910599291889/10000000000000000 z) |
(*.f64 692910599291889/10000000000000000 z) |
(*.f64 692910599291889/10000000000000000 z) |
(*.f64 692910599291889/10000000000000000 z) |
(*.f64 692910599291889/10000000000000000 z) |
(*.f64 692910599291889/10000000000000000 z) |
(*.f64 6012459259764103/1000000000000000 z) |
(*.f64 z 6012459259764103/1000000000000000) |
(+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z)) |
(+.f64 (*.f64 z z) (*.f64 z 6012459259764103/1000000000000000)) |
(*.f64 z (+.f64 z 6012459259764103/1000000000000000)) |
(+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z)) |
(+.f64 (*.f64 z z) (*.f64 z 6012459259764103/1000000000000000)) |
(*.f64 z (+.f64 z 6012459259764103/1000000000000000)) |
(+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z)) |
(+.f64 (*.f64 z z) (*.f64 z 6012459259764103/1000000000000000)) |
(*.f64 z (+.f64 z 6012459259764103/1000000000000000)) |
(pow.f64 z 2) |
(*.f64 z z) |
(+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z)) |
(+.f64 (*.f64 z z) (*.f64 z 6012459259764103/1000000000000000)) |
(*.f64 z (+.f64 z 6012459259764103/1000000000000000)) |
(+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z)) |
(+.f64 (*.f64 z z) (*.f64 z 6012459259764103/1000000000000000)) |
(*.f64 z (+.f64 z 6012459259764103/1000000000000000)) |
(+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z)) |
(+.f64 (*.f64 z z) (*.f64 z 6012459259764103/1000000000000000)) |
(*.f64 z (+.f64 z 6012459259764103/1000000000000000)) |
(pow.f64 z 2) |
(*.f64 z z) |
(+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z)) |
(+.f64 (*.f64 z z) (*.f64 z 6012459259764103/1000000000000000)) |
(*.f64 z (+.f64 z 6012459259764103/1000000000000000)) |
(+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z)) |
(+.f64 (*.f64 z z) (*.f64 z 6012459259764103/1000000000000000)) |
(*.f64 z (+.f64 z 6012459259764103/1000000000000000)) |
(+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z)) |
(+.f64 (*.f64 z z) (*.f64 z 6012459259764103/1000000000000000)) |
(*.f64 z (+.f64 z 6012459259764103/1000000000000000)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) |
| ✓ | 0.2b | (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) |
| ✓ | 0.2b | (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) |
| ✓ | 15.4b | (/.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)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | z | @ | inf | (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) |
| 3.0ms | z | @ | inf | (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) |
| 2.0ms | y | @ | 0 | (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) |
| 2.0ms | x | @ | 0 | (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) |
| 1.0ms | z | @ | 0 | (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) |
| 1× | batch-egg-rewrite |
| 646× | log-prod_binary64 |
| 408× | pow2_binary64 |
| 285× | expm1-udef_binary64 |
| 285× | log1p-udef_binary64 |
| 284× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 56 |
| 1 | 323 | 56 |
| 2 | 3882 | 56 |
| 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 z 692910599291889/10000000000000000 307332350656623/625000000000000) |
(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 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.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 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.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 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))) (log.f64 (sqrt.f64 (exp.f64 (/.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 (exp.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.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 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.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 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (pow.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))) 2))))) (#(struct:change #<rule 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| 1× | egg-herbie |
| 722× | times-frac_binary64 |
| 666× | associate-/r*_binary64 |
| 554× | associate-/l/_binary64 |
| 543× | associate-/l*_binary64 |
| 372× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 1415 |
| 1 | 241 | 1231 |
| 2 | 604 | 1178 |
| 3 | 1665 | 953 |
| 4 | 3949 | 953 |
| 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)))) |
307332350656623/625000000000000 |
(+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) |
(+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) |
(+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) |
(*.f64 692910599291889/10000000000000000 z) |
(+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) |
(+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) |
(+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) |
(*.f64 692910599291889/10000000000000000 z) |
(+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) |
(+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) |
(+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) |
x |
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(+.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) |
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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 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
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(+.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) |
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(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
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x |
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x |
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(+.f64 (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) x) |
11167812716741/40000000000000 |
(+.f64 11167812716741/40000000000000 (*.f64 307332350656623/625000000000000 z)) |
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(+.f64 11167812716741/40000000000000 (+.f64 (*.f64 307332350656623/625000000000000 z) (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)))) |
(*.f64 692910599291889/10000000000000000 (pow.f64 z 2)) |
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(+.f64 11167812716741/40000000000000 (+.f64 (*.f64 307332350656623/625000000000000 z) (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)))) |
(*.f64 692910599291889/10000000000000000 (pow.f64 z 2)) |
(+.f64 (*.f64 307332350656623/625000000000000 z) (*.f64 692910599291889/10000000000000000 (pow.f64 z 2))) |
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(+.f64 11167812716741/40000000000000 (+.f64 (*.f64 307332350656623/625000000000000 z) (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)))) |
| Outputs |
|---|
279195317918525/3350343815022304 |
(+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) |
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) |
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(+.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) (*.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) z)) |
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z z) 279195317918525/3350343815022304)) |
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z (fma.f64 z (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) 279195317918525/3350343815022304)) |
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692910599291889/10000000000000000 |
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692910599291889/10000000000000000 |
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307332350656623/625000000000000 |
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(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) |
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(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) |
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(+.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000)) |
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) |
(*.f64 692910599291889/10000000000000000 z) |
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(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) |
(+.f64 (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) x) |
(fma.f64 (+.f64 (/.f64 (+.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000)) (/.f64 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) z)) (/.f64 11167812716741/40000000000000 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) y x) |
(fma.f64 (+.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))) y x) |
(fma.f64 (fma.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))) y x) |
(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) |
x |
(+.f64 (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) x) |
(fma.f64 (+.f64 (/.f64 (+.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000)) (/.f64 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) z)) (/.f64 11167812716741/40000000000000 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) y x) |
(fma.f64 (+.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))) y x) |
(fma.f64 (fma.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))) y x) |
(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) |
(+.f64 (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) x) |
(fma.f64 (+.f64 (/.f64 (+.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000)) (/.f64 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) z)) (/.f64 11167812716741/40000000000000 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) y x) |
(fma.f64 (+.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))) y x) |
(fma.f64 (fma.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))) y x) |
(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) |
(+.f64 (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) x) |
(fma.f64 (+.f64 (/.f64 (+.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000)) (/.f64 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) z)) (/.f64 11167812716741/40000000000000 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) y x) |
(fma.f64 (+.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))) y x) |
(fma.f64 (fma.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))) y x) |
(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) |
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) |
Compiled 7316 to 5175 computations (29.3% saved)
22 alts after pruning (22 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 295 | 22 | 317 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 297 | 22 | 319 |
| Status | Error | Program |
|---|---|---|
| 27.1b | (+.f64 x (*.f64 (/.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (+.f64 1147673082894964476557575335949564252827623/30517578125000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3))) (+.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2) (-.f64 10961722342634967150292985809/976562500000000000000000000 (*.f64 z (*.f64 (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) | |
| 22.2b | (+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)) | |
| 15.9b | (+.f64 x (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (/.f64 y (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))) | |
| ▶ | 16.4b | (+.f64 x (*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) |
| ▶ | 29.7b | (+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z (+.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280)))))))) |
| 22.7b | (+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x)) | |
| 27.7b | (+.f64 x (/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) y) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) | |
| 20.9b | (+.f64 x (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)) | |
| ▶ | 13.3b | (+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
| 38.4b | (+.f64 x (pow.f64 (sqrt.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))) 2)) | |
| 16.3b | (+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) | |
| 16.8b | (+.f64 x (pow.f64 (cbrt.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))) 3)) | |
| 42.3b | (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) | |
| 15.9b | (fma.f64 y (expm1.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) x) | |
| 38.5b | (*.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) | |
| 21.0b | (+.f64 x (*.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) | |
| 22.7b | (+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) | |
| 31.9b | x | |
| ▶ | 13.5b | (+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
| 23.0b | (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (/.f64 (*.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) z) (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)))) 104698244219447/31250000000000))) | |
| ▶ | 35.1b | (+.f64 x (cbrt.f64 (pow.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)) 3))) |
| 37.0b | (+.f64 x (/.f64 (*.f64 y (*.f64 z (*.f64 692910599291889/10000000000000000 z))) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
Compiled 938 to 699 computations (25.5% saved)
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)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (*.f64 279195317918525/3350343815022304 y) |
| 0.0ms | y | @ | inf | (*.f64 279195317918525/3350343815022304 y) |
| 0.0ms | y | @ | -inf | (*.f64 279195317918525/3350343815022304 y) |
| 0.0ms | y | @ | inf | (+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
| 1× | batch-egg-rewrite |
| 687× | pow1_binary64 |
| 642× | add-log-exp_binary64 |
| 642× | log1p-expm1-u_binary64 |
| 642× | expm1-log1p-u_binary64 |
| 629× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 131 | 9 |
| 2 | 1732 | 9 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 279195317918525/3350343815022304 y) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 279195317918525/3350343815022304 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 279195317918525/3350343815022304 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 279195317918525/3350343815022304 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2)))) (#(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 sqrt.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 279195317918525/3350343815022304) y))))) (#(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 279195317918525/3350343815022304 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 279195317918525/3350343815022304 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 279195317918525/3350343815022304 y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 279195317918525/3350343815022304 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2) (-.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 (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 (sqrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) (sqrt.f64 (fma.f64 279195317918525/3350343815022304 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2) (*.f64 x (-.f64 x (*.f64 279195317918525/3350343815022304 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 279195317918525/3350343815022304 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2) (*.f64 x (-.f64 x (*.f64 279195317918525/3350343815022304 y)))) (+.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 279195317918525/3350343815022304 y) x) (-.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2) (*.f64 x (-.f64 x (*.f64 279195317918525/3350343815022304 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2) (*.f64 279195317918525/3350343815022304 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2) (*.f64 x x)) (-.f64 (*.f64 279195317918525/3350343815022304 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2) (*.f64 x (-.f64 x (*.f64 279195317918525/3350343815022304 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 279195317918525/3350343815022304 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2)) (-.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 (pow.f64 (fma.f64 279195317918525/3350343815022304 y x) 3) 1/3)))) (#(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 (sqrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) 2)))) (#(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 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 log1p.f64 (expm1.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 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 (pow.f64 (cbrt.f64 x) 2) (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)))) (#(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))))) |
| 1× | egg-herbie |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 15 |
| 1 | 6 | 15 |
| 1× | saturated |
| Inputs |
|---|
x |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
x |
x |
| Outputs |
|---|
x |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
x |
x |
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 692910599291889/10000000000000000 y) |
| 0.0ms | y | @ | inf | (+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
| 1× | batch-egg-rewrite |
| 687× | pow1_binary64 |
| 642× | add-log-exp_binary64 |
| 642× | log1p-expm1-u_binary64 |
| 642× | expm1-log1p-u_binary64 |
| 629× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 131 | 9 |
| 2 | 1732 | 9 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 692910599291889/10000000000000000 y) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.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 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3)))) (#(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 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 692910599291889/10000000000000000) y))))) (#(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 692910599291889/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 -.f64 (+.f64 1 (fma.f64 692910599291889/10000000000000000 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (-.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 (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 (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y)))) (+.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 692910599291889/10000000000000000 y) x) (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 692910599291889/10000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x)) (-.f64 (*.f64 692910599291889/10000000000000000 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2)) (-.f64 x (*.f64 692910599291889/10000000000000000 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 (pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 3) 1/3)))) (#(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 (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 2)))) (#(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 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 log1p.f64 (expm1.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 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 (pow.f64 (cbrt.f64 x) 2) (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)))) (#(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))))) |
| 1× | egg-herbie |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 15 |
| 1 | 6 | 15 |
| 1× | saturated |
| Inputs |
|---|
x |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 692910599291889/10000000000000000 y) |
x |
x |
| Outputs |
|---|
x |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 692910599291889/10000000000000000 y) |
x |
x |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280) |
| ✓ | 0.1b | (*.f64 z (+.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280))) |
| ✓ | 0.2b | (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z (+.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280))))) |
| ✓ | 2.2b | (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z (+.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280))))))) |
Compiled 90 to 66 computations (26.7% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | z | @ | 0 | (*.f64 z (+.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280))) |
| 2.0ms | y | @ | 0 | (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z (+.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280))))))) |
| 1.0ms | z | @ | inf | (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z (+.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280))))))) |
| 1.0ms | y | @ | inf | (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z (+.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280))))))) |
| 1.0ms | z | @ | -inf | (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z (+.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280))))))) |
| 1× | batch-egg-rewrite |
| 843× | prod-diff_binary64 |
| 490× | fma-def_binary64 |
| 290× | expm1-udef_binary64 |
| 290× | log1p-udef_binary64 |
| 212× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 52 |
| 1 | 331 | 40 |
| 2 | 4693 | 40 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z (+.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280))))))) |
(*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z (+.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280))))) |
(*.f64 z (+.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280))) |
(*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080) (*.f64 z y)) (*.f64 y 279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 279195317918525/3350343815022304) (*.f64 (fma.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080) (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y 279195317918525/3350343815022304) 1) (*.f64 (*.f64 (fma.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080) (*.f64 z y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (fma.f64 z (fma.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y 279195317918525/3350343815022304) 3) (pow.f64 (*.f64 (fma.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080) (*.f64 z y)) 3)) (fma.f64 (*.f64 y 279195317918525/3350343815022304) (*.f64 y 279195317918525/3350343815022304) (-.f64 (*.f64 (*.f64 (fma.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080) (*.f64 z y)) (*.f64 (fma.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080) (*.f64 z y))) (*.f64 (*.f64 y 279195317918525/3350343815022304) (*.f64 (fma.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080) (*.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y 279195317918525/3350343815022304) (*.f64 y 279195317918525/3350343815022304)) (*.f64 (*.f64 (fma.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080) (*.f64 z y)) (*.f64 (fma.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080) (*.f64 z y)))) (-.f64 (*.f64 y 279195317918525/3350343815022304) (*.f64 (fma.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080) (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 (*.f64 z (fma.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080)) 3)) y) (fma.f64 (*.f64 z (fma.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080)) (fma.f64 z (fma.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080) -279195317918525/3350343815022304) 77950025547626246938538175625/11224803678858206361900017468416))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 77950025547626246938538175625/11224803678858206361900017468416 (pow.f64 (*.f64 z (fma.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080)) 2)) y) (-.f64 279195317918525/3350343815022304 (*.f64 z (fma.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 (*.f64 z (fma.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080)) 3))) (fma.f64 (*.f64 z (fma.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080)) (fma.f64 z (fma.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080) -279195317918525/3350343815022304) 77950025547626246938538175625/11224803678858206361900017468416))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 77950025547626246938538175625/11224803678858206361900017468416 (pow.f64 (*.f64 z (fma.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080)) 2))) (-.f64 279195317918525/3350343815022304 (*.f64 z (fma.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (fma.f64 z (fma.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (fma.f64 z (fma.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z (fma.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (fma.f64 z (fma.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (fma.f64 z (fma.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (fma.f64 z (fma.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (fma.f64 z (fma.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (fma.f64 z (fma.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (fma.f64 z (fma.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 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140582959099368892107452664973977670604987665779041005233772313071296689961210987547775240973975508662781355200785885169/396876171419783235103919843221939614086995301658603713238918203726180905268985328664073278315142875897357963268419746162278400 (*.f64 z z)))) (cbrt.f64 (*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280)) (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 (*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280))) (sqrt.f64 (*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280)) (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -52710728760920402338119854528042404539720716110937113304753975785368343322792460803298227846427594334311395337952437825216809583505872319605919016218261961667870753751800303365303/250024482329675464770497245420630443314606442013363072650163018766926110222914318696811378940568012304740241160167987246775887109182162438958207492871371058586617200611459748129723645952000 (pow.f64 z 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 140582959099368892107452664973977670604987665779041005233772313071296689961210987547775240973975508662781355200785885169/396876171419783235103919843221939614086995301658603713238918203726180905268985328664073278315142875897357963268419746162278400 (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -52710728760920402338119854528042404539720716110937113304753975785368343322792460803298227846427594334311395337952437825216809583505872319605919016218261961667870753751800303365303/250024482329675464770497245420630443314606442013363072650163018766926110222914318696811378940568012304740241160167987246775887109182162438958207492871371058586617200611459748129723645952000 (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280)) 1)))))) |
| 1× | egg-herbie |
| 685× | fma-def_binary64 |
| 478× | distribute-lft-out_binary64 |
| 409× | unsub-neg_binary64 |
| 400× | *-commutative_binary64 |
| 389× | distribute-rgt-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 720 |
| 1 | 131 | 693 |
| 2 | 284 | 605 |
| 3 | 703 | 602 |
| 4 | 2373 | 602 |
| 5 | 3552 | 602 |
| 6 | 4649 | 602 |
| 7 | 5314 | 602 |
| 8 | 6795 | 602 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (+.f64 (*.f64 (-.f64 (*.f64 z (+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z) 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) 155900051080628738716045985239/56124018394291031809500087342080) z) 279195317918525/3350343815022304)) |
(*.f64 y (+.f64 (*.f64 (-.f64 (*.f64 z (+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z) 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) 155900051080628738716045985239/56124018394291031809500087342080) z) 279195317918525/3350343815022304)) |
(*.f64 y (+.f64 (*.f64 (-.f64 (*.f64 z (+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z) 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) 155900051080628738716045985239/56124018394291031809500087342080) z) 279195317918525/3350343815022304)) |
(*.f64 y (+.f64 (*.f64 (-.f64 (*.f64 z (+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z) 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) 155900051080628738716045985239/56124018394291031809500087342080) z) 279195317918525/3350343815022304)) |
(*.f64 y (+.f64 (*.f64 (-.f64 (*.f64 z (+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z) 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) 155900051080628738716045985239/56124018394291031809500087342080) z) 279195317918525/3350343815022304)) |
(*.f64 y (+.f64 (*.f64 (-.f64 (*.f64 z (+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z) 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) 155900051080628738716045985239/56124018394291031809500087342080) z) 279195317918525/3350343815022304)) |
(*.f64 y (+.f64 (*.f64 (-.f64 (*.f64 z (+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z) 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) 155900051080628738716045985239/56124018394291031809500087342080) z) 279195317918525/3350343815022304)) |
(*.f64 y (+.f64 (*.f64 (-.f64 (*.f64 z (+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z) 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) 155900051080628738716045985239/56124018394291031809500087342080) z) 279195317918525/3350343815022304)) |
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 z (-.f64 (*.f64 z (+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z) 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) 155900051080628738716045985239/56124018394291031809500087342080))) y) |
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 z (-.f64 (*.f64 z (+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z) 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) 155900051080628738716045985239/56124018394291031809500087342080))) y) |
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 z (-.f64 (*.f64 z (+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z) 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) 155900051080628738716045985239/56124018394291031809500087342080))) y) |
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 z (-.f64 (*.f64 z (+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z) 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) 155900051080628738716045985239/56124018394291031809500087342080))) y) |
(*.f64 279195317918525/3350343815022304 y) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) |
(+.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))) |
(+.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (*.f64 y (pow.f64 z 3)))))) |
(*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (*.f64 y (pow.f64 z 3))) |
(+.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 y (pow.f64 z 2))) (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (*.f64 y (pow.f64 z 3)))) |
(+.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (*.f64 y (pow.f64 z 3))))) |
(+.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (*.f64 y (pow.f64 z 3)))))) |
(*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (*.f64 y (pow.f64 z 3))) |
(+.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 y (pow.f64 z 2))) (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (*.f64 y (pow.f64 z 3)))) |
(+.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (*.f64 y (pow.f64 z 3))))) |
(+.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (*.f64 y (pow.f64 z 3)))))) |
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) |
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2))) |
(+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 3)) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2)))) |
(+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 3)) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2)))) |
(*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 3)) |
(+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 3)) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2))) |
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 3)) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2)))) |
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 3)) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2)))) |
(*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 3)) |
(+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 3)) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2))) |
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 3)) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2)))) |
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 3)) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2)))) |
(*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) |
(+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 2)) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z)) |
(+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 2)) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z)) |
(+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 2)) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z)) |
(*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 2)) |
(+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 2)) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z)) |
(+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 2)) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z)) |
(+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 2)) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z)) |
(*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 2)) |
(+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 2)) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z)) |
(+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 2)) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z)) |
(+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 2)) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z)) |
(*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z) |
(*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z) |
(*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z) |
(*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z) |
(*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z) |
(*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z) |
(*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z) |
(*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z) |
(*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z) |
(*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z) |
(*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z) |
(*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z) |
| Outputs |
|---|
(*.f64 y (+.f64 (*.f64 (-.f64 (*.f64 z (+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z) 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) 155900051080628738716045985239/56124018394291031809500087342080) z) 279195317918525/3350343815022304)) |
(*.f64 y (fma.f64 (fma.f64 z (fma.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080) z 279195317918525/3350343815022304)) |
(*.f64 y (fma.f64 z (fma.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) |
(*.f64 y (+.f64 (*.f64 (-.f64 (*.f64 z (+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z) 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) 155900051080628738716045985239/56124018394291031809500087342080) z) 279195317918525/3350343815022304)) |
(*.f64 y (fma.f64 (fma.f64 z (fma.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080) z 279195317918525/3350343815022304)) |
(*.f64 y (fma.f64 z (fma.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) |
(*.f64 y (+.f64 (*.f64 (-.f64 (*.f64 z (+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z) 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) 155900051080628738716045985239/56124018394291031809500087342080) z) 279195317918525/3350343815022304)) |
(*.f64 y (fma.f64 (fma.f64 z (fma.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080) z 279195317918525/3350343815022304)) |
(*.f64 y (fma.f64 z (fma.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) |
(*.f64 y (+.f64 (*.f64 (-.f64 (*.f64 z (+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z) 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) 155900051080628738716045985239/56124018394291031809500087342080) z) 279195317918525/3350343815022304)) |
(*.f64 y (fma.f64 (fma.f64 z (fma.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080) z 279195317918525/3350343815022304)) |
(*.f64 y (fma.f64 z (fma.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) |
(*.f64 y (+.f64 (*.f64 (-.f64 (*.f64 z (+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z) 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) 155900051080628738716045985239/56124018394291031809500087342080) z) 279195317918525/3350343815022304)) |
(*.f64 y (fma.f64 (fma.f64 z (fma.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080) z 279195317918525/3350343815022304)) |
(*.f64 y (fma.f64 z (fma.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) |
(*.f64 y (+.f64 (*.f64 (-.f64 (*.f64 z (+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z) 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) 155900051080628738716045985239/56124018394291031809500087342080) z) 279195317918525/3350343815022304)) |
(*.f64 y (fma.f64 (fma.f64 z (fma.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080) z 279195317918525/3350343815022304)) |
(*.f64 y (fma.f64 z (fma.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) |
(*.f64 y (+.f64 (*.f64 (-.f64 (*.f64 z (+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z) 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) 155900051080628738716045985239/56124018394291031809500087342080) z) 279195317918525/3350343815022304)) |
(*.f64 y (fma.f64 (fma.f64 z (fma.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080) z 279195317918525/3350343815022304)) |
(*.f64 y (fma.f64 z (fma.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) |
(*.f64 y (+.f64 (*.f64 (-.f64 (*.f64 z (+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z) 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) 155900051080628738716045985239/56124018394291031809500087342080) z) 279195317918525/3350343815022304)) |
(*.f64 y (fma.f64 (fma.f64 z (fma.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080) z 279195317918525/3350343815022304)) |
(*.f64 y (fma.f64 z (fma.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) |
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 z (-.f64 (*.f64 z (+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z) 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) 155900051080628738716045985239/56124018394291031809500087342080))) y) |
(*.f64 y (fma.f64 (fma.f64 z (fma.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080) z 279195317918525/3350343815022304)) |
(*.f64 y (fma.f64 z (fma.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) |
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 z (-.f64 (*.f64 z (+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z) 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) 155900051080628738716045985239/56124018394291031809500087342080))) y) |
(*.f64 y (fma.f64 (fma.f64 z (fma.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080) z 279195317918525/3350343815022304)) |
(*.f64 y (fma.f64 z (fma.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) |
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 z (-.f64 (*.f64 z (+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z) 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) 155900051080628738716045985239/56124018394291031809500087342080))) y) |
(*.f64 y (fma.f64 (fma.f64 z (fma.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080) z 279195317918525/3350343815022304)) |
(*.f64 y (fma.f64 z (fma.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) |
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(*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280) |
(*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z) |
(*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280) |
(*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z) |
(*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280) |
(*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z) |
(*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280) |
(*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z) |
(*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280) |
(*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z) |
(*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280) |
(*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z) |
(*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280) |
(*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z) |
(*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) |
| ✓ | 0.2b | (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) |
| ✓ | 4.8b | (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) |
| ✓ | 18.4b | (*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
Compiled 73 to 50 computations (31.5% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | (*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
| 1.0ms | z | @ | 0 | (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) |
| 1.0ms | y | @ | 0 | (*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
| 1.0ms | z | @ | inf | (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) |
| 1.0ms | y | @ | 0 | (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) |
| 1× | batch-egg-rewrite |
| 628× | log-prod_binary64 |
| 382× | pow2_binary64 |
| 268× | pow1/3_binary64 |
| 267× | expm1-udef_binary64 |
| 267× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 47 |
| 1 | 305 | 47 |
| 2 | 3719 | 47 |
| 1× | node limit |
| Inputs |
|---|
(*.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 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) |
(fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) |
(fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.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 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(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 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 y (fma.f64 z (+.f64 z 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11167812716741/40000000000000) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) y) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) y)) (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) y) 1) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 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(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (neg.f64 y)) (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x 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))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.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))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3) (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.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))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 y (fma.f64 z (+.f64 z 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 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| 1× | egg-herbie |
| 879× | fma-def_binary64 |
| 388× | associate-+l+_binary64 |
| 312× | associate-*l*_binary64 |
| 304× | cancel-sign-sub-inv_binary64 |
| 290× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 172 | 1437 |
| 1 | 529 | 1210 |
| 2 | 1934 | 1117 |
| 1× | node limit |
| Inputs |
|---|
(*.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)))))) |
(-.f64 (+.f64 (*.f64 307332350656623/625000000000000 (/.f64 y z)) (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 -1 (/.f64 (+.f64 (*.f64 6012459259764103/1000000000000000 (-.f64 (*.f64 11167812716741/40000000000000 y) (+.f64 (*.f64 72546523146905574025723165383/312500000000000000000000000000 y) (*.f64 6012459259764103/1000000000000000 (-.f64 (*.f64 307332350656623/625000000000000 y) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 y)))))) (*.f64 104698244219447/31250000000000 (-.f64 (*.f64 307332350656623/625000000000000 y) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 y)))) (pow.f64 z 3)))))) (+.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)))))) |
(*.f64 692910599291889/10000000000000000 y) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -307332350656623/625000000000000 y) (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (*.f64 692910599291889/10000000000000000 y)) |
(-.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))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -307332350656623/625000000000000 y) (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (+.f64 (*.f64 104698244219447/31250000000000 (/.f64 (-.f64 (*.f64 -307332350656623/625000000000000 y) (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 y)) (pow.f64 z 3))) (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 -6012459259764103/1000000000000000 (/.f64 (-.f64 (*.f64 11167812716741/40000000000000 y) (+.f64 (*.f64 -6012459259764103/1000000000000000 (-.f64 (*.f64 -307332350656623/625000000000000 y) (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 y))) (*.f64 72546523146905574025723165383/312500000000000000000000000000 y))) (pow.f64 z 3))) (*.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))))) |
(/.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 y (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(*.f64 31250000000000/104698244219447 y) |
(+.f64 (*.f64 -5871542245863381835937500000/10961722342634967150292985809 (*.f64 y z)) (*.f64 31250000000000/104698244219447 y)) |
(+.f64 (*.f64 -5871542245863381835937500000/10961722342634967150292985809 (*.f64 y z)) (+.f64 (*.f64 31250000000000/104698244219447 y) (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 976562500000000000000000000/10961722342634967150292985809 y) (*.f64 -1103200267038668987913305889728057861328125/1147673082894964476557575335949564252827623 y)))))) |
(+.f64 (*.f64 -5871542245863381835937500000/10961722342634967150292985809 (*.f64 y z)) (+.f64 (*.f64 31250000000000/104698244219447 y) (+.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 976562500000000000000000000/10961722342634967150292985809 y) (*.f64 -1103200267038668987913305889728057861328125/1147673082894964476557575335949564252827623 y)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -6012459259764103/3350343815022304 (+.f64 (*.f64 976562500000000000000000000/10961722342634967150292985809 y) (*.f64 -1103200267038668987913305889728057861328125/1147673082894964476557575335949564252827623 y))) (*.f64 -183485695183230682373046875000000000000000/1147673082894964476557575335949564252827623 y)) (pow.f64 z 3)))))) |
(/.f64 y (pow.f64 z 2)) |
(+.f64 (*.f64 -6012459259764103/1000000000000000 (/.f64 y (pow.f64 z 3))) (/.f64 y (pow.f64 z 2))) |
(+.f64 (*.f64 -6012459259764103/1000000000000000 (/.f64 y (pow.f64 z 3))) (+.f64 (/.f64 y (pow.f64 z 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -36149666350323105395943207394609/1000000000000000000000000000000 y) (*.f64 104698244219447/31250000000000 y)) (pow.f64 z 4))))) |
(+.f64 (*.f64 -6012459259764103/1000000000000000 (/.f64 y (pow.f64 z 3))) (+.f64 (/.f64 y (pow.f64 z 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -629493927938257585512585111041/31250000000000000000000000000 y) (*.f64 -6012459259764103/1000000000000000 (+.f64 (*.f64 -36149666350323105395943207394609/1000000000000000000000000000000 y) (*.f64 104698244219447/31250000000000 y)))) (pow.f64 z 5))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -36149666350323105395943207394609/1000000000000000000000000000000 y) (*.f64 104698244219447/31250000000000 y)) (pow.f64 z 4)))))) |
(/.f64 y (pow.f64 z 2)) |
(+.f64 (*.f64 -6012459259764103/1000000000000000 (/.f64 y (pow.f64 z 3))) (/.f64 y (pow.f64 z 2))) |
(+.f64 (*.f64 -6012459259764103/1000000000000000 (/.f64 y (pow.f64 z 3))) (+.f64 (/.f64 y (pow.f64 z 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -36149666350323105395943207394609/1000000000000000000000000000000 y) (*.f64 104698244219447/31250000000000 y)) (pow.f64 z 4))))) |
(+.f64 (*.f64 -6012459259764103/1000000000000000 (/.f64 y (pow.f64 z 3))) (+.f64 (/.f64 y (pow.f64 z 2)) (+.f64 (*.f64 6012459259764103/1000000000000000 (/.f64 (+.f64 (*.f64 -36149666350323105395943207394609/1000000000000000000000000000000 y) (*.f64 104698244219447/31250000000000 y)) (pow.f64 z 5))) (+.f64 (*.f64 629493927938257585512585111041/31250000000000000000000000000 (/.f64 y (pow.f64 z 5))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -36149666350323105395943207394609/1000000000000000000000000000000 y) (*.f64 104698244219447/31250000000000 y)) (pow.f64 z 4))))))) |
307332350656623/625000000000000 |
(+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) |
(+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) |
(+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) |
(*.f64 692910599291889/10000000000000000 z) |
(+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) |
(+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) |
(+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) |
(*.f64 692910599291889/10000000000000000 z) |
(+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) |
(+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) |
(+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) |
11167812716741/40000000000000 |
(+.f64 11167812716741/40000000000000 (*.f64 307332350656623/625000000000000 z)) |
(+.f64 11167812716741/40000000000000 (+.f64 (*.f64 307332350656623/625000000000000 z) (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)))) |
(+.f64 11167812716741/40000000000000 (+.f64 (*.f64 307332350656623/625000000000000 z) (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)))) |
(*.f64 692910599291889/10000000000000000 (pow.f64 z 2)) |
(+.f64 (*.f64 307332350656623/625000000000000 z) (*.f64 692910599291889/10000000000000000 (pow.f64 z 2))) |
(+.f64 11167812716741/40000000000000 (+.f64 (*.f64 307332350656623/625000000000000 z) (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)))) |
(+.f64 11167812716741/40000000000000 (+.f64 (*.f64 307332350656623/625000000000000 z) (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)))) |
(*.f64 692910599291889/10000000000000000 (pow.f64 z 2)) |
(+.f64 (*.f64 307332350656623/625000000000000 z) (*.f64 692910599291889/10000000000000000 (pow.f64 z 2))) |
(+.f64 11167812716741/40000000000000 (+.f64 (*.f64 307332350656623/625000000000000 z) (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)))) |
(+.f64 11167812716741/40000000000000 (+.f64 (*.f64 307332350656623/625000000000000 z) (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)))) |
| Outputs |
|---|
(*.f64 279195317918525/3350343815022304 y) |
(+.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 z (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080) (*.f64 279195317918525/3350343815022304 y)) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))) |
(+.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 z (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080) (*.f64 279195317918525/3350343815022304 y))) |
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(+.f64 (*.f64 -6012459259764103/1000000000000000 (/.f64 y (pow.f64 z 3))) (+.f64 (/.f64 y (pow.f64 z 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -36149666350323105395943207394609/1000000000000000000000000000000 y) (*.f64 104698244219447/31250000000000 y)) (pow.f64 z 4))))) |
(fma.f64 -6012459259764103/1000000000000000 (/.f64 y (pow.f64 z 3)) (+.f64 (/.f64 y (*.f64 z z)) (neg.f64 (/.f64 (*.f64 y -32799322535300801395943207394609/1000000000000000000000000000000) (pow.f64 z 4))))) |
(-.f64 (fma.f64 -6012459259764103/1000000000000000 (/.f64 y (pow.f64 z 3)) (/.f64 (/.f64 y z) z)) (/.f64 y (/.f64 (pow.f64 z 4) -32799322535300801395943207394609/1000000000000000000000000000000))) |
(+.f64 (*.f64 (+.f64 (/.f64 -6012459259764103/1000000000000000 z) 1) (/.f64 y (*.f64 z z))) (/.f64 (*.f64 y 32799322535300801395943207394609/1000000000000000000000000000000) (pow.f64 z 4))) |
(+.f64 (*.f64 -6012459259764103/1000000000000000 (/.f64 y (pow.f64 z 3))) (+.f64 (/.f64 y (pow.f64 z 2)) (+.f64 (*.f64 6012459259764103/1000000000000000 (/.f64 (+.f64 (*.f64 -36149666350323105395943207394609/1000000000000000000000000000000 y) (*.f64 104698244219447/31250000000000 y)) (pow.f64 z 5))) (+.f64 (*.f64 629493927938257585512585111041/31250000000000000000000000000 (/.f64 y (pow.f64 z 5))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -36149666350323105395943207394609/1000000000000000000000000000000 y) (*.f64 104698244219447/31250000000000 y)) (pow.f64 z 4))))))) |
(+.f64 (fma.f64 -6012459259764103/1000000000000000 (/.f64 y (pow.f64 z 3)) (/.f64 y (*.f64 z z))) (fma.f64 6012459259764103/1000000000000000 (/.f64 (*.f64 y -32799322535300801395943207394609/1000000000000000000000000000000) (pow.f64 z 5)) (fma.f64 629493927938257585512585111041/31250000000000000000000000000 (/.f64 y (pow.f64 z 5)) (neg.f64 (/.f64 (*.f64 y -32799322535300801395943207394609/1000000000000000000000000000000) (pow.f64 z 4)))))) |
(+.f64 (fma.f64 -6012459259764103/1000000000000000 (/.f64 y (pow.f64 z 3)) (/.f64 (/.f64 y z) z)) (-.f64 (fma.f64 6012459259764103/1000000000000000 (/.f64 y (/.f64 (pow.f64 z 5) -32799322535300801395943207394609/1000000000000000000000000000000)) (/.f64 (*.f64 y 629493927938257585512585111041/31250000000000000000000000000) (pow.f64 z 5))) (/.f64 y (/.f64 (pow.f64 z 4) -32799322535300801395943207394609/1000000000000000000000000000000)))) |
(+.f64 (*.f64 (+.f64 (/.f64 -6012459259764103/1000000000000000 z) 1) (/.f64 y (*.f64 z z))) (+.f64 (/.f64 (*.f64 y 32799322535300801395943207394609/1000000000000000000000000000000) (pow.f64 z 4)) (fma.f64 629493927938257585512585111041/31250000000000000000000000000 (/.f64 y (pow.f64 z 5)) (/.f64 (*.f64 y -197204590491358718450349810586918541334573920727/1000000000000000000000000000000000000000000000) (pow.f64 z 5))))) |
307332350656623/625000000000000 |
(+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) |
(+.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000)) |
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) |
(+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) |
(+.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000)) |
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) |
(+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) |
(+.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000)) |
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) |
(*.f64 692910599291889/10000000000000000 z) |
(*.f64 z 692910599291889/10000000000000000) |
(+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) |
(+.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000)) |
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) |
(+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) |
(+.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000)) |
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) |
(+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) |
(+.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000)) |
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) |
(*.f64 692910599291889/10000000000000000 z) |
(*.f64 z 692910599291889/10000000000000000) |
(+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) |
(+.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000)) |
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) |
(+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) |
(+.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000)) |
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) |
(+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) |
(+.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000)) |
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) |
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) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (pow.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)) 3) |
| 4.8b | (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) | |
| ✓ | 18.4b | (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) |
| ✓ | 39.6b | (cbrt.f64 (pow.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)) 3)) |
Compiled 114 to 81 computations (28.9% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | z | @ | -inf | (pow.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)) 3) |
| 6.0ms | z | @ | 0 | (pow.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)) 3) |
| 6.0ms | y | @ | 0 | (pow.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)) 3) |
| 5.0ms | z | @ | inf | (pow.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)) 3) |
| 4.0ms | y | @ | -inf | (cbrt.f64 (pow.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)) 3)) |
| 1× | batch-egg-rewrite |
| 715× | log-prod_binary64 |
| 296× | expm1-udef_binary64 |
| 296× | log1p-udef_binary64 |
| 291× | pow1/3_binary64 |
| 262× | pow3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 69 |
| 1 | 375 | 69 |
| 2 | 4298 | 69 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (pow.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)) 3)) |
(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(pow.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)) 3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)))))) (#(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 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(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 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 y (fma.f64 z (+.f64 z 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11167812716741/40000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 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| 1× | egg-herbie |
| 952× | times-frac_binary64 |
| 798× | associate-/l*_binary64 |
| 345× | fma-def_binary64 |
| 264× | cancel-sign-sub-inv_binary64 |
| 220× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 273 | 3474 |
| 1 | 938 | 2832 |
| 2 | 4240 | 2482 |
| 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))) |
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(*.f64 279195317918525/3350343815022304 y) |
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(*.f64 692910599291889/10000000000000000 y) |
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(*.f64 692910599291889/10000000000000000 y) |
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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 (*.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) |
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(*.f64 692910599291889/10000000000000000 y) |
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(*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) |
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| Outputs |
|---|
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(-.f64 (fma.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (fma.f64 692910599291889/10000000000000000 (*.f64 (/.f64 y (*.f64 z z)) (fma.f64 692910599291889/5000000000000000 (*.f64 y (*.f64 y -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000)) (*.f64 (*.f64 y y) 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000))) (fma.f64 692910599291889/5000000000000000 (/.f64 (*.f64 y y) (/.f64 (/.f64 z (/.f64 y z)) 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000)) (fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (/.f64 (*.f64 y -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000) (*.f64 (/.f64 z (*.f64 y y)) z)) (/.f64 (*.f64 (*.f64 (pow.f64 y 3) -751220861604756070699018739433/10000000000000000000000000000000) -1440375295833134294244663564963/100000000000000000000000000000000) z))))) (/.f64 (+.f64 (fma.f64 692910599291889/10000000000000000 (*.f64 y (fma.f64 2 (*.f64 (*.f64 y -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000) (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000)) (*.f64 y (*.f64 (fma.f64 (*.f64 y -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000) -6012459259764103/1000000000000000 (*.f64 y -78651505231038147067106019988416220964353551/312500000000000000000000000000000000000000000)) -692910599291889/5000000000000000)))) (*.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000) -6012459259764103/1000000000000000 (*.f64 y -78651505231038147067106019988416220964353551/312500000000000000000000000000000000000000000)) -480125098611044764748221188321/100000000000000000000000000000000))) (*.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) (+.f64 (*.f64 y (*.f64 (*.f64 y -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000) 692910599291889/5000000000000000)) (fma.f64 692910599291889/5000000000000000 (*.f64 y (*.f64 y -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000)) (*.f64 (*.f64 y y) 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000))))) (pow.f64 z 3))) |
Compiled 16715 to 11713 computations (29.9% saved)
28 alts after pruning (25 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 651 | 17 | 668 |
| Fresh | 9 | 8 | 17 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 3 | 4 |
| Total | 662 | 28 | 690 |
| Status | Error | Program |
|---|---|---|
| 31.9b | x | |
| 22.2b | (+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)) | |
| 15.9b | (+.f64 x (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (/.f64 y (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))) | |
| ✓ | 29.7b | (+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z (+.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280)))))))) |
| 28.2b | (+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)))))) | |
| ▶ | 23.0b | (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (/.f64 (*.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) z) (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)))) 104698244219447/31250000000000))) |
| 16.4b | (+.f64 x (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y))) | |
| 16.4b | (+.f64 x (*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (pow.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y) -1))) | |
| 32.5b | (+.f64 x (*.f64 (*.f64 z (*.f64 z 692910599291889/10000000000000000)) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) | |
| 37.8b | (/.f64 (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x)) (-.f64 (*.f64 692910599291889/10000000000000000 y) x)) | |
| 37.0b | (+.f64 x (/.f64 (*.f64 y (*.f64 z (*.f64 692910599291889/10000000000000000 z))) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) | |
| 29.3b | (+.f64 (cbrt.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) x) | |
| 22.7b | (+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) | |
| 16.8b | (+.f64 x (*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (pow.f64 (cbrt.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 3))) | |
| 43.9b | (+.f64 x (*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (/.f64 y z) z))) | |
| 37.9b | (/.f64 1 (/.f64 (-.f64 (*.f64 692910599291889/10000000000000000 y) x) (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x)))) | |
| ▶ | 37.9b | (*.f64 (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x))) |
| 39.3b | (+.f64 (pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) x) | |
| ▶ | 16.3b | (+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
| 38.3b | (+.f64 (pow.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2) x) | |
| ▶ | 13.7b | (+.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3) x) |
| 42.3b | (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) | |
| ▶ | 43.8b | (*.f64 692910599291889/10000000000000000 y) |
| 43.7b | (*.f64 279195317918525/3350343815022304 y) | |
| ✓ | 13.5b | (+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
| 22.7b | (+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x)) | |
| ✓ | 13.3b | (+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
| 38.5b | (*.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) |
Compiled 900 to 672 computations (25.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3) x) |
| 0.5b | (*.f64 692910599291889/10000000000000000 y) | |
| ✓ | 0.6b | (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) |
| ✓ | 0.7b | (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3) |
Compiled 28 to 21 computations (25% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | 0 | (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3) |
| 3.0ms | x | @ | 0 | (+.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3) x) |
| 2.0ms | y | @ | -inf | (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3) |
| 1.0ms | y | @ | inf | (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3) |
| 1.0ms | y | @ | -inf | (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) |
| 1× | batch-egg-rewrite |
| 857× | pow1_binary64 |
| 808× | add-log-exp_binary64 |
| 808× | log1p-expm1-u_binary64 |
| 808× | expm1-log1p-u_binary64 |
| 790× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 17 |
| 1 | 199 | 15 |
| 2 | 2255 | 15 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3) |
(cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) |
(+.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 692910599291889/10000000000000000 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 692910599291889/10000000000000000 y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y 692910599291889/10000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 692910599291889/10000000000000000 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) (cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 692910599291889/10000000000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2)) (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))) (cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 692910599291889/10000000000000000) (*.f64 (cbrt.f64 y) (cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) 692910599291889/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 1/6) (*.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 1/6) (cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2))))))) (#(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 692910599291889/10000000000000000 y)) (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2))) 3) (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 3) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 1/6) 3) (pow.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 692910599291889/10000000000000000 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 692910599291889/10000000000000000 (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2)) 1) (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2)))) (cbrt.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2)) (cbrt.f64 692910599291889/10000000000000000)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2)) (pow.f64 (*.f64 692910599291889/10000000000000000 y) 1/6)) (pow.f64 (*.f64 692910599291889/10000000000000000 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 692910599291889/10000000000000000) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 692910599291889/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 -.f64 (+.f64 1 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2))) (cbrt.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 692910599291889/10000000000000000) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) (cbrt.f64 692910599291889/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 1/6) (pow.f64 (*.f64 692910599291889/10000000000000000 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2)) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 1/3) (pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 692910599291889/10000000000000000 y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 692910599291889/10000000000000000 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (-.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 (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 (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y)))) (+.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 692910599291889/10000000000000000 y) x) (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 692910599291889/10000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x)) (-.f64 (*.f64 692910599291889/10000000000000000 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2)) (-.f64 x (*.f64 692910599291889/10000000000000000 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 (pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 3) 1/3)))) (#(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 (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 2)))) (#(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 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 log1p.f64 (expm1.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 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 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) (cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2)) 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 (cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2)) (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 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))))) |
| 1× | egg-herbie |
| 1992× | sqr-pow_binary64 |
| 1991× | pow-base-1_binary64 |
| 5× | fma-def_binary64 |
| 3× | *-commutative_binary64 |
| 2× | associate-*r*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 72 |
| 1 | 26 | 54 |
| 2 | 40 | 54 |
| 3 | 46 | 54 |
| 4 | 50 | 54 |
| 5 | 54 | 54 |
| 6 | 58 | 54 |
| 7 | 62 | 54 |
| 8 | 66 | 54 |
| 9 | 70 | 54 |
| 10 | 74 | 54 |
| 11 | 78 | 54 |
| 12 | 82 | 54 |
| 13 | 86 | 54 |
| 14 | 90 | 54 |
| 15 | 94 | 54 |
| 16 | 98 | 54 |
| 17 | 102 | 54 |
| 18 | 106 | 54 |
| 19 | 110 | 54 |
| 20 | 114 | 54 |
| 21 | 118 | 54 |
| 22 | 122 | 54 |
| 23 | 126 | 54 |
| 24 | 130 | 54 |
| 25 | 134 | 54 |
| 26 | 138 | 54 |
| 27 | 142 | 54 |
| 28 | 146 | 54 |
| 29 | 150 | 54 |
| 30 | 154 | 54 |
| 31 | 158 | 54 |
| 32 | 162 | 54 |
| 33 | 166 | 54 |
| 34 | 170 | 54 |
| 35 | 174 | 54 |
| 36 | 178 | 54 |
| 37 | 182 | 54 |
| 38 | 186 | 54 |
| 39 | 190 | 54 |
| 40 | 194 | 54 |
| 41 | 198 | 54 |
| 42 | 202 | 54 |
| 43 | 206 | 54 |
| 44 | 210 | 54 |
| 45 | 214 | 54 |
| 46 | 218 | 54 |
| 47 | 222 | 54 |
| 48 | 226 | 54 |
| 49 | 230 | 54 |
| 50 | 234 | 54 |
| 51 | 238 | 54 |
| 52 | 242 | 54 |
| 53 | 246 | 54 |
| 54 | 250 | 54 |
| 55 | 254 | 54 |
| 56 | 258 | 54 |
| 57 | 262 | 54 |
| 58 | 266 | 54 |
| 59 | 270 | 54 |
| 60 | 274 | 54 |
| 61 | 278 | 54 |
| 62 | 282 | 54 |
| 63 | 286 | 54 |
| 64 | 290 | 54 |
| 65 | 294 | 54 |
| 66 | 298 | 54 |
| 67 | 302 | 54 |
| 68 | 306 | 54 |
| 69 | 310 | 54 |
| 70 | 314 | 54 |
| 71 | 318 | 54 |
| 72 | 322 | 54 |
| 73 | 326 | 54 |
| 74 | 330 | 54 |
| 75 | 334 | 54 |
| 76 | 338 | 54 |
| 77 | 342 | 54 |
| 78 | 346 | 54 |
| 79 | 350 | 54 |
| 80 | 354 | 54 |
| 81 | 358 | 54 |
| 82 | 362 | 54 |
| 83 | 366 | 54 |
| 84 | 370 | 54 |
| 85 | 374 | 54 |
| 86 | 378 | 54 |
| 87 | 382 | 54 |
| 88 | 386 | 54 |
| 89 | 390 | 54 |
| 90 | 394 | 54 |
| 91 | 398 | 54 |
| 92 | 402 | 54 |
| 93 | 406 | 54 |
| 94 | 410 | 54 |
| 95 | 414 | 54 |
| 96 | 418 | 54 |
| 97 | 422 | 54 |
| 98 | 426 | 54 |
| 99 | 430 | 54 |
| 100 | 434 | 54 |
| 101 | 438 | 54 |
| 102 | 442 | 54 |
| 103 | 446 | 54 |
| 104 | 450 | 54 |
| 105 | 454 | 54 |
| 106 | 458 | 54 |
| 107 | 462 | 54 |
| 108 | 466 | 54 |
| 109 | 470 | 54 |
| 110 | 474 | 54 |
| 111 | 478 | 54 |
| 112 | 482 | 54 |
| 113 | 486 | 54 |
| 114 | 490 | 54 |
| 115 | 494 | 54 |
| 116 | 498 | 54 |
| 117 | 502 | 54 |
| 118 | 506 | 54 |
| 119 | 510 | 54 |
| 120 | 514 | 54 |
| 121 | 518 | 54 |
| 122 | 522 | 54 |
| 123 | 526 | 54 |
| 124 | 530 | 54 |
| 125 | 534 | 54 |
| 126 | 538 | 54 |
| 127 | 542 | 54 |
| 128 | 546 | 54 |
| 129 | 550 | 54 |
| 130 | 554 | 54 |
| 131 | 558 | 54 |
| 132 | 562 | 54 |
| 133 | 566 | 54 |
| 134 | 570 | 54 |
| 135 | 574 | 54 |
| 136 | 578 | 54 |
| 137 | 582 | 54 |
| 138 | 586 | 54 |
| 139 | 590 | 54 |
| 140 | 594 | 54 |
| 141 | 598 | 54 |
| 142 | 602 | 54 |
| 143 | 606 | 54 |
| 144 | 610 | 54 |
| 145 | 614 | 54 |
| 146 | 618 | 54 |
| 147 | 622 | 54 |
| 148 | 626 | 54 |
| 149 | 630 | 54 |
| 150 | 634 | 54 |
| 151 | 638 | 54 |
| 152 | 642 | 54 |
| 153 | 646 | 54 |
| 154 | 650 | 54 |
| 155 | 654 | 54 |
| 156 | 658 | 54 |
| 157 | 662 | 54 |
| 158 | 666 | 54 |
| 159 | 670 | 54 |
| 160 | 674 | 54 |
| 161 | 678 | 54 |
| 162 | 682 | 54 |
| 163 | 686 | 54 |
| 164 | 690 | 54 |
| 165 | 694 | 54 |
| 166 | 698 | 54 |
| 167 | 702 | 54 |
| 168 | 706 | 54 |
| 169 | 710 | 54 |
| 170 | 714 | 54 |
| 171 | 718 | 54 |
| 172 | 722 | 54 |
| 173 | 726 | 54 |
| 174 | 730 | 54 |
| 175 | 734 | 54 |
| 176 | 738 | 54 |
| 177 | 742 | 54 |
| 178 | 746 | 54 |
| 179 | 750 | 54 |
| 180 | 754 | 54 |
| 181 | 758 | 54 |
| 182 | 762 | 54 |
| 183 | 766 | 54 |
| 184 | 770 | 54 |
| 185 | 774 | 54 |
| 186 | 778 | 54 |
| 187 | 782 | 54 |
| 188 | 786 | 54 |
| 189 | 790 | 54 |
| 190 | 794 | 54 |
| 191 | 798 | 54 |
| 192 | 802 | 54 |
| 193 | 806 | 54 |
| 194 | 810 | 54 |
| 195 | 814 | 54 |
| 196 | 818 | 54 |
| 197 | 822 | 54 |
| 198 | 826 | 54 |
| 199 | 830 | 54 |
| 200 | 834 | 54 |
| 201 | 838 | 54 |
| 202 | 842 | 54 |
| 203 | 846 | 54 |
| 204 | 850 | 54 |
| 205 | 854 | 54 |
| 206 | 858 | 54 |
| 207 | 862 | 54 |
| 208 | 866 | 54 |
| 209 | 870 | 54 |
| 210 | 874 | 54 |
| 211 | 878 | 54 |
| 212 | 882 | 54 |
| 213 | 886 | 54 |
| 214 | 890 | 54 |
| 215 | 894 | 54 |
| 216 | 898 | 54 |
| 217 | 902 | 54 |
| 218 | 906 | 54 |
| 219 | 910 | 54 |
| 220 | 914 | 54 |
| 221 | 918 | 54 |
| 222 | 922 | 54 |
| 223 | 926 | 54 |
| 224 | 930 | 54 |
| 225 | 934 | 54 |
| 226 | 938 | 54 |
| 227 | 942 | 54 |
| 228 | 946 | 54 |
| 229 | 950 | 54 |
| 230 | 954 | 54 |
| 231 | 958 | 54 |
| 232 | 962 | 54 |
| 233 | 966 | 54 |
| 234 | 970 | 54 |
| 235 | 974 | 54 |
| 236 | 978 | 54 |
| 237 | 982 | 54 |
| 238 | 986 | 54 |
| 239 | 990 | 54 |
| 240 | 994 | 54 |
| 241 | 998 | 54 |
| 242 | 1002 | 54 |
| 243 | 1006 | 54 |
| 244 | 1010 | 54 |
| 245 | 1014 | 54 |
| 246 | 1018 | 54 |
| 247 | 1022 | 54 |
| 248 | 1026 | 54 |
| 249 | 1030 | 54 |
| 250 | 1034 | 54 |
| 251 | 1038 | 54 |
| 252 | 1042 | 54 |
| 253 | 1046 | 54 |
| 254 | 1050 | 54 |
| 255 | 1054 | 54 |
| 256 | 1058 | 54 |
| 257 | 1062 | 54 |
| 258 | 1066 | 54 |
| 259 | 1070 | 54 |
| 260 | 1074 | 54 |
| 261 | 1078 | 54 |
| 262 | 1082 | 54 |
| 263 | 1086 | 54 |
| 264 | 1090 | 54 |
| 265 | 1094 | 54 |
| 266 | 1098 | 54 |
| 267 | 1102 | 54 |
| 268 | 1106 | 54 |
| 269 | 1110 | 54 |
| 270 | 1114 | 54 |
| 271 | 1118 | 54 |
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| 1796 | 7218 | 54 |
| 1797 | 7222 | 54 |
| 1798 | 7226 | 54 |
| 1799 | 7230 | 54 |
| 1800 | 7234 | 54 |
| 1801 | 7238 | 54 |
| 1802 | 7242 | 54 |
| 1803 | 7246 | 54 |
| 1804 | 7250 | 54 |
| 1805 | 7254 | 54 |
| 1806 | 7258 | 54 |
| 1807 | 7262 | 54 |
| 1808 | 7266 | 54 |
| 1809 | 7270 | 54 |
| 1810 | 7274 | 54 |
| 1811 | 7278 | 54 |
| 1812 | 7282 | 54 |
| 1813 | 7286 | 54 |
| 1814 | 7290 | 54 |
| 1815 | 7294 | 54 |
| 1816 | 7298 | 54 |
| 1817 | 7302 | 54 |
| 1818 | 7306 | 54 |
| 1819 | 7310 | 54 |
| 1820 | 7314 | 54 |
| 1821 | 7318 | 54 |
| 1822 | 7322 | 54 |
| 1823 | 7326 | 54 |
| 1824 | 7330 | 54 |
| 1825 | 7334 | 54 |
| 1826 | 7338 | 54 |
| 1827 | 7342 | 54 |
| 1828 | 7346 | 54 |
| 1829 | 7350 | 54 |
| 1830 | 7354 | 54 |
| 1831 | 7358 | 54 |
| 1832 | 7362 | 54 |
| 1833 | 7366 | 54 |
| 1834 | 7370 | 54 |
| 1835 | 7374 | 54 |
| 1836 | 7378 | 54 |
| 1837 | 7382 | 54 |
| 1838 | 7386 | 54 |
| 1839 | 7390 | 54 |
| 1840 | 7394 | 54 |
| 1841 | 7398 | 54 |
| 1842 | 7402 | 54 |
| 1843 | 7406 | 54 |
| 1844 | 7410 | 54 |
| 1845 | 7414 | 54 |
| 1846 | 7418 | 54 |
| 1847 | 7422 | 54 |
| 1848 | 7426 | 54 |
| 1849 | 7430 | 54 |
| 1850 | 7434 | 54 |
| 1851 | 7438 | 54 |
| 1852 | 7442 | 54 |
| 1853 | 7446 | 54 |
| 1854 | 7450 | 54 |
| 1855 | 7454 | 54 |
| 1856 | 7458 | 54 |
| 1857 | 7462 | 54 |
| 1858 | 7466 | 54 |
| 1859 | 7470 | 54 |
| 1860 | 7474 | 54 |
| 1861 | 7478 | 54 |
| 1862 | 7482 | 54 |
| 1863 | 7486 | 54 |
| 1864 | 7490 | 54 |
| 1865 | 7494 | 54 |
| 1866 | 7498 | 54 |
| 1867 | 7502 | 54 |
| 1868 | 7506 | 54 |
| 1869 | 7510 | 54 |
| 1870 | 7514 | 54 |
| 1871 | 7518 | 54 |
| 1872 | 7522 | 54 |
| 1873 | 7526 | 54 |
| 1874 | 7530 | 54 |
| 1875 | 7534 | 54 |
| 1876 | 7538 | 54 |
| 1877 | 7542 | 54 |
| 1878 | 7546 | 54 |
| 1879 | 7550 | 54 |
| 1880 | 7554 | 54 |
| 1881 | 7558 | 54 |
| 1882 | 7562 | 54 |
| 1883 | 7566 | 54 |
| 1884 | 7570 | 54 |
| 1885 | 7574 | 54 |
| 1886 | 7578 | 54 |
| 1887 | 7582 | 54 |
| 1888 | 7586 | 54 |
| 1889 | 7590 | 54 |
| 1890 | 7594 | 54 |
| 1891 | 7598 | 54 |
| 1892 | 7602 | 54 |
| 1893 | 7606 | 54 |
| 1894 | 7610 | 54 |
| 1895 | 7614 | 54 |
| 1896 | 7618 | 54 |
| 1897 | 7622 | 54 |
| 1898 | 7626 | 54 |
| 1899 | 7630 | 54 |
| 1900 | 7634 | 54 |
| 1901 | 7638 | 54 |
| 1902 | 7642 | 54 |
| 1903 | 7646 | 54 |
| 1904 | 7650 | 54 |
| 1905 | 7654 | 54 |
| 1906 | 7658 | 54 |
| 1907 | 7662 | 54 |
| 1908 | 7666 | 54 |
| 1909 | 7670 | 54 |
| 1910 | 7674 | 54 |
| 1911 | 7678 | 54 |
| 1912 | 7682 | 54 |
| 1913 | 7686 | 54 |
| 1914 | 7690 | 54 |
| 1915 | 7694 | 54 |
| 1916 | 7698 | 54 |
| 1917 | 7702 | 54 |
| 1918 | 7706 | 54 |
| 1919 | 7710 | 54 |
| 1920 | 7714 | 54 |
| 1921 | 7718 | 54 |
| 1922 | 7722 | 54 |
| 1923 | 7726 | 54 |
| 1924 | 7730 | 54 |
| 1925 | 7734 | 54 |
| 1926 | 7738 | 54 |
| 1927 | 7742 | 54 |
| 1928 | 7746 | 54 |
| 1929 | 7750 | 54 |
| 1930 | 7754 | 54 |
| 1931 | 7758 | 54 |
| 1932 | 7762 | 54 |
| 1933 | 7766 | 54 |
| 1934 | 7770 | 54 |
| 1935 | 7774 | 54 |
| 1936 | 7778 | 54 |
| 1937 | 7782 | 54 |
| 1938 | 7786 | 54 |
| 1939 | 7790 | 54 |
| 1940 | 7794 | 54 |
| 1941 | 7798 | 54 |
| 1942 | 7802 | 54 |
| 1943 | 7806 | 54 |
| 1944 | 7810 | 54 |
| 1945 | 7814 | 54 |
| 1946 | 7818 | 54 |
| 1947 | 7822 | 54 |
| 1948 | 7826 | 54 |
| 1949 | 7830 | 54 |
| 1950 | 7834 | 54 |
| 1951 | 7838 | 54 |
| 1952 | 7842 | 54 |
| 1953 | 7846 | 54 |
| 1954 | 7850 | 54 |
| 1955 | 7854 | 54 |
| 1956 | 7858 | 54 |
| 1957 | 7862 | 54 |
| 1958 | 7866 | 54 |
| 1959 | 7870 | 54 |
| 1960 | 7874 | 54 |
| 1961 | 7878 | 54 |
| 1962 | 7882 | 54 |
| 1963 | 7886 | 54 |
| 1964 | 7890 | 54 |
| 1965 | 7894 | 54 |
| 1966 | 7898 | 54 |
| 1967 | 7902 | 54 |
| 1968 | 7906 | 54 |
| 1969 | 7910 | 54 |
| 1970 | 7914 | 54 |
| 1971 | 7918 | 54 |
| 1972 | 7922 | 54 |
| 1973 | 7926 | 54 |
| 1974 | 7930 | 54 |
| 1975 | 7934 | 54 |
| 1976 | 7938 | 54 |
| 1977 | 7942 | 54 |
| 1978 | 7946 | 54 |
| 1979 | 7950 | 54 |
| 1980 | 7954 | 54 |
| 1981 | 7958 | 54 |
| 1982 | 7962 | 54 |
| 1983 | 7966 | 54 |
| 1984 | 7970 | 54 |
| 1985 | 7974 | 54 |
| 1986 | 7978 | 54 |
| 1987 | 7982 | 54 |
| 1988 | 7986 | 54 |
| 1989 | 7990 | 54 |
| 1990 | 7994 | 54 |
| 1991 | 7998 | 54 |
| 1× | node limit |
| Inputs |
|---|
x |
x |
x |
(*.f64 692910599291889/10000000000000000 (*.f64 (pow.f64 1 1/3) y)) |
(+.f64 (*.f64 692910599291889/10000000000000000 (*.f64 (pow.f64 1 1/3) y)) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 (*.f64 (pow.f64 1 1/3) y)) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 (*.f64 (pow.f64 1 1/3) y)) x) |
x |
(+.f64 (*.f64 692910599291889/10000000000000000 (*.f64 (pow.f64 1 1/3) y)) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 (*.f64 (pow.f64 1 1/3) y)) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 (*.f64 (pow.f64 1 1/3) y)) x) |
x |
(+.f64 (*.f64 692910599291889/10000000000000000 (*.f64 (pow.f64 1 1/3) y)) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 (*.f64 (pow.f64 1 1/3) y)) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 (*.f64 (pow.f64 1 1/3) y)) x) |
| Outputs |
|---|
x |
x |
x |
(*.f64 692910599291889/10000000000000000 (*.f64 (pow.f64 1 1/3) y)) |
(*.f64 692910599291889/10000000000000000 y) |
(+.f64 (*.f64 692910599291889/10000000000000000 (*.f64 (pow.f64 1 1/3) y)) x) |
(+.f64 x (*.f64 692910599291889/10000000000000000 y)) |
(fma.f64 692910599291889/10000000000000000 y x) |
(+.f64 (*.f64 692910599291889/10000000000000000 (*.f64 (pow.f64 1 1/3) y)) x) |
(+.f64 x (*.f64 692910599291889/10000000000000000 y)) |
(fma.f64 692910599291889/10000000000000000 y x) |
(+.f64 (*.f64 692910599291889/10000000000000000 (*.f64 (pow.f64 1 1/3) y)) x) |
(+.f64 x (*.f64 692910599291889/10000000000000000 y)) |
(fma.f64 692910599291889/10000000000000000 y x) |
x |
(+.f64 (*.f64 692910599291889/10000000000000000 (*.f64 (pow.f64 1 1/3) y)) x) |
(+.f64 x (*.f64 692910599291889/10000000000000000 y)) |
(fma.f64 692910599291889/10000000000000000 y x) |
(+.f64 (*.f64 692910599291889/10000000000000000 (*.f64 (pow.f64 1 1/3) y)) x) |
(+.f64 x (*.f64 692910599291889/10000000000000000 y)) |
(fma.f64 692910599291889/10000000000000000 y x) |
(+.f64 (*.f64 692910599291889/10000000000000000 (*.f64 (pow.f64 1 1/3) y)) x) |
(+.f64 x (*.f64 692910599291889/10000000000000000 y)) |
(fma.f64 692910599291889/10000000000000000 y x) |
x |
(+.f64 (*.f64 692910599291889/10000000000000000 (*.f64 (pow.f64 1 1/3) y)) x) |
(+.f64 x (*.f64 692910599291889/10000000000000000 y)) |
(fma.f64 692910599291889/10000000000000000 y x) |
(+.f64 (*.f64 692910599291889/10000000000000000 (*.f64 (pow.f64 1 1/3) y)) x) |
(+.f64 x (*.f64 692910599291889/10000000000000000 y)) |
(fma.f64 692910599291889/10000000000000000 y x) |
(+.f64 (*.f64 692910599291889/10000000000000000 (*.f64 (pow.f64 1 1/3) y)) x) |
(+.f64 x (*.f64 692910599291889/10000000000000000 y)) |
(fma.f64 692910599291889/10000000000000000 y x) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.5b | (*.f64 692910599291889/10000000000000000 y) |
Compiled 8 to 6 computations (25% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 z 6012459259764103/1000000000000000) |
| 0.2b | (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) | |
| ✓ | 0.5b | (*.f64 y 11167812716741/40000000000000) |
| ✓ | 4.8b | (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
Compiled 51 to 35 computations (31.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
| 1.0ms | y | @ | inf | (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
| 1.0ms | y | @ | -inf | (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
| 1.0ms | z | @ | 0 | (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
| 1.0ms | z | @ | inf | (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
| 1× | batch-egg-rewrite |
| 584× | log-prod_binary64 |
| 338× | pow-prod-down_binary64 |
| 323× | pow2_binary64 |
| 248× | prod-diff_binary64 |
| 225× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 22 |
| 1 | 251 | 22 |
| 2 | 3335 | 22 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
(*.f64 y 11167812716741/40000000000000) |
(+.f64 z 6012459259764103/1000000000000000) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (*.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 40000000000000/11167812716741)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 11167812716741/40000000000000 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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 11167812716741/40000000000000) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) (pow.f64 (cbrt.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) 2) (cbrt.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y 11167812716741/40000000000000)) 2) (*.f64 (cbrt.f64 (*.f64 y 11167812716741/40000000000000)) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) (sqrt.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y 11167812716741/40000000000000)) (*.f64 (sqrt.f64 (*.f64 y 11167812716741/40000000000000)) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y -11167812716741/40000000000000) (/.f64 1 (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (*.f64 y 11167812716741/40000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y 11167812716741/40000000000000)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y 11167812716741/40000000000000)) 1) (/.f64 (sqrt.f64 (*.f64 y 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2)) (/.f64 11167812716741/40000000000000 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 11167812716741/40000000000000 (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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) -2) (/.f64 (*.f64 y 11167812716741/40000000000000) (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y 11167812716741/40000000000000)) 2) (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2)) (cbrt.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y 11167812716741/40000000000000)) (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2)) (/.f64 (sqrt.f64 (*.f64 y 11167812716741/40000000000000)) (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 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| 1× | egg-herbie |
| 549× | distribute-rgt-in_binary64 |
| 528× | distribute-lft-in_binary64 |
| 413× | times-frac_binary64 |
| 400× | fma-def_binary64 |
| 399× | distribute-rgt-out_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 594 |
| 1 | 218 | 561 |
| 2 | 704 | 512 |
| 3 | 2376 | 495 |
| 4 | 6505 | 495 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) |
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) |
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) |
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) |
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) |
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) |
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) |
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) |
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) |
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) |
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) |
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) |
(*.f64 279195317918525/3350343815022304 y) |
(+.f64 (*.f64 -1678650474502018223880473708075/11224803678858206361900017468416 (*.f64 y z)) (*.f64 279195317918525/3350343815022304 y)) |
(+.f64 (*.f64 -1678650474502018223880473708075/11224803678858206361900017468416 (*.f64 y z)) (+.f64 (*.f64 -11167812716741/40000000000000 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 976562500000000000000000000/10961722342634967150292985809 y) (*.f64 -1103200267038668987913305889728057861328125/1147673082894964476557575335949564252827623 y)))) (*.f64 279195317918525/3350343815022304 y))) |
(+.f64 (*.f64 -1678650474502018223880473708075/11224803678858206361900017468416 (*.f64 y z)) (+.f64 (*.f64 -11167812716741/40000000000000 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 976562500000000000000000000/10961722342634967150292985809 y) (*.f64 -1103200267038668987913305889728057861328125/1147673082894964476557575335949564252827623 y)))) (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -11167812716741/40000000000000 (*.f64 (+.f64 (*.f64 -6012459259764103/3350343815022304 (+.f64 (*.f64 976562500000000000000000000/10961722342634967150292985809 y) (*.f64 -1103200267038668987913305889728057861328125/1147673082894964476557575335949564252827623 y))) (*.f64 -183485695183230682373046875000000000000000/1147673082894964476557575335949564252827623 y)) (pow.f64 z 3)))))) |
(*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) |
(+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (*.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3)))) |
(+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 -11167812716741/40000000000000 (/.f64 (+.f64 (*.f64 -36149666350323105395943207394609/1000000000000000000000000000000 y) (*.f64 104698244219447/31250000000000 y)) (pow.f64 z 4))) (*.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3))))) |
(+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 -11167812716741/40000000000000 (/.f64 (+.f64 (*.f64 -629493927938257585512585111041/31250000000000000000000000000 y) (*.f64 -6012459259764103/1000000000000000 (+.f64 (*.f64 -36149666350323105395943207394609/1000000000000000000000000000000 y) (*.f64 104698244219447/31250000000000 y)))) (pow.f64 z 5))) (+.f64 (*.f64 -11167812716741/40000000000000 (/.f64 (+.f64 (*.f64 -36149666350323105395943207394609/1000000000000000000000000000000 y) (*.f64 104698244219447/31250000000000 y)) (pow.f64 z 4))) (*.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3)))))) |
(*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) |
(+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (*.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3)))) |
(+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 -11167812716741/40000000000000 (/.f64 (+.f64 (*.f64 -36149666350323105395943207394609/1000000000000000000000000000000 y) (*.f64 104698244219447/31250000000000 y)) (pow.f64 z 4))) (*.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3))))) |
(+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 (+.f64 (*.f64 6012459259764103/1000000000000000 (+.f64 (*.f64 -36149666350323105395943207394609/1000000000000000000000000000000 y) (*.f64 104698244219447/31250000000000 y))) (*.f64 629493927938257585512585111041/31250000000000000000000000000 y)) (pow.f64 z 5))) (+.f64 (*.f64 -11167812716741/40000000000000 (/.f64 (+.f64 (*.f64 -36149666350323105395943207394609/1000000000000000000000000000000 y) (*.f64 104698244219447/31250000000000 y)) (pow.f64 z 4))) (*.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3)))))) |
(*.f64 11167812716741/40000000000000 y) |
(*.f64 11167812716741/40000000000000 y) |
(*.f64 11167812716741/40000000000000 y) |
(*.f64 11167812716741/40000000000000 y) |
(*.f64 11167812716741/40000000000000 y) |
(*.f64 11167812716741/40000000000000 y) |
(*.f64 11167812716741/40000000000000 y) |
(*.f64 11167812716741/40000000000000 y) |
(*.f64 11167812716741/40000000000000 y) |
(*.f64 11167812716741/40000000000000 y) |
(*.f64 11167812716741/40000000000000 y) |
(*.f64 11167812716741/40000000000000 y) |
6012459259764103/1000000000000000 |
(+.f64 6012459259764103/1000000000000000 z) |
(+.f64 6012459259764103/1000000000000000 z) |
(+.f64 6012459259764103/1000000000000000 z) |
z |
(+.f64 6012459259764103/1000000000000000 z) |
(+.f64 6012459259764103/1000000000000000 z) |
(+.f64 6012459259764103/1000000000000000 z) |
z |
(+.f64 6012459259764103/1000000000000000 z) |
(+.f64 6012459259764103/1000000000000000 z) |
(+.f64 6012459259764103/1000000000000000 z) |
| Outputs |
|---|
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) |
(/.f64 (*.f64 11167812716741/40000000000000 y) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))) |
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000))) |
(/.f64 11167812716741/40000000000000 (/.f64 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000) y)) |
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) |
(/.f64 (*.f64 11167812716741/40000000000000 y) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))) |
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000))) |
(/.f64 11167812716741/40000000000000 (/.f64 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000) y)) |
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) |
(/.f64 (*.f64 11167812716741/40000000000000 y) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))) |
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000))) |
(/.f64 11167812716741/40000000000000 (/.f64 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000) y)) |
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) |
(/.f64 (*.f64 11167812716741/40000000000000 y) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))) |
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000))) |
(/.f64 11167812716741/40000000000000 (/.f64 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000) y)) |
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) |
(/.f64 (*.f64 11167812716741/40000000000000 y) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))) |
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000))) |
(/.f64 11167812716741/40000000000000 (/.f64 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000) y)) |
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) |
(/.f64 (*.f64 11167812716741/40000000000000 y) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))) |
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000))) |
(/.f64 11167812716741/40000000000000 (/.f64 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000) y)) |
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) |
(/.f64 (*.f64 11167812716741/40000000000000 y) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))) |
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000))) |
(/.f64 11167812716741/40000000000000 (/.f64 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000) y)) |
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) |
(/.f64 (*.f64 11167812716741/40000000000000 y) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))) |
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000))) |
(/.f64 11167812716741/40000000000000 (/.f64 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000) y)) |
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) |
(/.f64 (*.f64 11167812716741/40000000000000 y) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))) |
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000))) |
(/.f64 11167812716741/40000000000000 (/.f64 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000) y)) |
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) |
(/.f64 (*.f64 11167812716741/40000000000000 y) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))) |
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000))) |
(/.f64 11167812716741/40000000000000 (/.f64 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000) y)) |
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) |
(/.f64 (*.f64 11167812716741/40000000000000 y) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))) |
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000))) |
(/.f64 11167812716741/40000000000000 (/.f64 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000) y)) |
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) |
(/.f64 (*.f64 11167812716741/40000000000000 y) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))) |
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000))) |
(/.f64 11167812716741/40000000000000 (/.f64 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000) y)) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 y 279195317918525/3350343815022304) |
(+.f64 (*.f64 -1678650474502018223880473708075/11224803678858206361900017468416 (*.f64 y z)) (*.f64 279195317918525/3350343815022304 y)) |
(fma.f64 -1678650474502018223880473708075/11224803678858206361900017468416 (*.f64 y z) (*.f64 y 279195317918525/3350343815022304)) |
(fma.f64 y 279195317918525/3350343815022304 (*.f64 y (*.f64 z -1678650474502018223880473708075/11224803678858206361900017468416))) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -1678650474502018223880473708075/11224803678858206361900017468416))) |
(+.f64 (*.f64 -1678650474502018223880473708075/11224803678858206361900017468416 (*.f64 y z)) (+.f64 (*.f64 -11167812716741/40000000000000 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 976562500000000000000000000/10961722342634967150292985809 y) (*.f64 -1103200267038668987913305889728057861328125/1147673082894964476557575335949564252827623 y)))) (*.f64 279195317918525/3350343815022304 y))) |
(fma.f64 -1678650474502018223880473708075/11224803678858206361900017468416 (*.f64 y z) (fma.f64 -11167812716741/40000000000000 (*.f64 (*.f64 z z) (*.f64 y -1000955887918115276975805889728057861328125/1147673082894964476557575335949564252827623)) (*.f64 y 279195317918525/3350343815022304))) |
(fma.f64 -1678650474502018223880473708075/11224803678858206361900017468416 (*.f64 y z) (fma.f64 y 279195317918525/3350343815022304 (*.f64 -11167812716741/40000000000000 (*.f64 (*.f64 z z) (*.f64 y -1000955887918115276975805889728057861328125/1147673082894964476557575335949564252827623))))) |
(fma.f64 (*.f64 z z) (*.f64 y 9157417282755548667831574904743338418186231725/37606951580302195967838628608395321436655550464) (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -1678650474502018223880473708075/11224803678858206361900017468416)))) |
(+.f64 (*.f64 -1678650474502018223880473708075/11224803678858206361900017468416 (*.f64 y z)) (+.f64 (*.f64 -11167812716741/40000000000000 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 976562500000000000000000000/10961722342634967150292985809 y) (*.f64 -1103200267038668987913305889728057861328125/1147673082894964476557575335949564252827623 y)))) (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -11167812716741/40000000000000 (*.f64 (+.f64 (*.f64 -6012459259764103/3350343815022304 (+.f64 (*.f64 976562500000000000000000000/10961722342634967150292985809 y) (*.f64 -1103200267038668987913305889728057861328125/1147673082894964476557575335949564252827623 y))) (*.f64 -183485695183230682373046875000000000000000/1147673082894964476557575335949564252827623 y)) (pow.f64 z 3)))))) |
(fma.f64 -1678650474502018223880473708075/11224803678858206361900017468416 (*.f64 y z) (fma.f64 -11167812716741/40000000000000 (*.f64 (*.f64 z z) (*.f64 y -1000955887918115276975805889728057861328125/1147673082894964476557575335949564252827623)) (fma.f64 279195317918525/3350343815022304 y (*.f64 (*.f64 -11167812716741/40000000000000 (fma.f64 -6012459259764103/3350343815022304 (*.f64 y -1000955887918115276975805889728057861328125/1147673082894964476557575335949564252827623) (*.f64 y -183485695183230682373046875000000000000000/1147673082894964476557575335949564252827623))) (pow.f64 z 3))))) |
(fma.f64 -1678650474502018223880473708075/11224803678858206361900017468416 (*.f64 y z) (fma.f64 -11167812716741/40000000000000 (*.f64 (*.f64 z z) (*.f64 y -1000955887918115276975805889728057861328125/1147673082894964476557575335949564252827623)) (fma.f64 y 279195317918525/3350343815022304 (*.f64 (fma.f64 y -183485695183230682373046875000000000000000/1147673082894964476557575335949564252827623 (*.f64 y 6018206496928671827708429278165238688188901389373779296875/3845099414944724229120274305880309906699142060296812303392)) (*.f64 (pow.f64 z 3) -11167812716741/40000000000000))))) |
(fma.f64 y (*.f64 z -1678650474502018223880473708075/11224803678858206361900017468416) (fma.f64 y 279195317918525/3350343815022304 (*.f64 (*.f64 z z) (+.f64 (*.f64 -11167812716741/40000000000000 (*.f64 z (*.f64 y 5403466332926467154356295380664262125688901389373779296875/3845099414944724229120274305880309906699142060296812303392))) (*.f64 y 9157417282755548667831574904743338418186231725/37606951580302195967838628608395321436655550464))))) |
(fma.f64 y (*.f64 z -1678650474502018223880473708075/11224803678858206361900017468416) (fma.f64 y 279195317918525/3350343815022304 (*.f64 (*.f64 z z) (+.f64 (*.f64 z (*.f64 y -49434542102395337057955907590727616078723417236647145994767675/125996217628908723539813148455085995022717487031805945557549056)) (*.f64 y 9157417282755548667831574904743338418186231725/37606951580302195967838628608395321436655550464))))) |
(*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) |
(/.f64 (*.f64 11167812716741/40000000000000 y) (*.f64 z z)) |
(*.f64 11167812716741/40000000000000 (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 11167812716741/40000000000000 (*.f64 z z))) |
(+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (*.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3)))) |
(fma.f64 11167812716741/40000000000000 (/.f64 y (*.f64 z z)) (*.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3)))) |
(*.f64 (/.f64 y (*.f64 z z)) (+.f64 11167812716741/40000000000000 (/.f64 -67146018980080728955218948323/40000000000000000000000000000 z))) |
(+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 -11167812716741/40000000000000 (/.f64 (+.f64 (*.f64 -36149666350323105395943207394609/1000000000000000000000000000000 y) (*.f64 104698244219447/31250000000000 y)) (pow.f64 z 4))) (*.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3))))) |
(fma.f64 11167812716741/40000000000000 (/.f64 y (*.f64 z z)) (fma.f64 -11167812716741/40000000000000 (/.f64 (*.f64 y -32799322535300801395943207394609/1000000000000000000000000000000) (pow.f64 z 4)) (*.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3))))) |
(fma.f64 11167812716741/40000000000000 (/.f64 y (*.f64 z z)) (fma.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3)) (/.f64 -11167812716741/40000000000000 (/.f64 (pow.f64 z 4) (*.f64 y -32799322535300801395943207394609/1000000000000000000000000000000))))) |
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(*.f64 (/.f64 y (*.f64 z z)) (+.f64 (+.f64 11167812716741/40000000000000 (/.f64 -67146018980080728955218948323/40000000000000000000000000000 z)) (/.f64 366296691310221946713262996189733536727449269/40000000000000000000000000000000000000000000 (*.f64 z z)))) |
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(fma.f64 11167812716741/40000000000000 (/.f64 y (*.f64 z z)) (fma.f64 -11167812716741/40000000000000 (/.f64 (fma.f64 -629493927938257585512585111041/31250000000000000000000000000 y (*.f64 (*.f64 y -32799322535300801395943207394609/1000000000000000000000000000000) -6012459259764103/1000000000000000)) (pow.f64 z 5)) (fma.f64 -11167812716741/40000000000000 (/.f64 (*.f64 y -32799322535300801395943207394609/1000000000000000000000000000000) (pow.f64 z 4)) (*.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3)))))) |
(fma.f64 11167812716741/40000000000000 (/.f64 y (*.f64 z z)) (fma.f64 -11167812716741/40000000000000 (/.f64 (fma.f64 y -629493927938257585512585111041/31250000000000000000000000000 (*.f64 y 197204590491358718450349810586918541334573920727/1000000000000000000000000000000000000000000000)) (pow.f64 z 5)) (fma.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3)) (/.f64 -11167812716741/40000000000000 (/.f64 (pow.f64 z 4) (*.f64 y -32799322535300801395943207394609/1000000000000000000000000000000)))))) |
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(+.f64 (*.f64 (/.f64 y (*.f64 z z)) (+.f64 (+.f64 11167812716741/40000000000000 (/.f64 -67146018980080728955218948323/40000000000000000000000000000 z)) (/.f64 366296691310221946713262996189733536727449269/40000000000000000000000000000000000000000000 (*.f64 z z)))) (/.f64 (*.f64 y -1977381684095813482318236303629104643148936689465885839790707/40000000000000000000000000000000000000000000000000000000000) (pow.f64 z 5))) |
(*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) |
(/.f64 (*.f64 11167812716741/40000000000000 y) (*.f64 z z)) |
(*.f64 11167812716741/40000000000000 (/.f64 y (*.f64 z z))) |
(*.f64 y (/.f64 11167812716741/40000000000000 (*.f64 z z))) |
(+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (*.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3)))) |
(fma.f64 11167812716741/40000000000000 (/.f64 y (*.f64 z z)) (*.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3)))) |
(*.f64 (/.f64 y (*.f64 z z)) (+.f64 11167812716741/40000000000000 (/.f64 -67146018980080728955218948323/40000000000000000000000000000 z))) |
(+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 -11167812716741/40000000000000 (/.f64 (+.f64 (*.f64 -36149666350323105395943207394609/1000000000000000000000000000000 y) (*.f64 104698244219447/31250000000000 y)) (pow.f64 z 4))) (*.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3))))) |
(fma.f64 11167812716741/40000000000000 (/.f64 y (*.f64 z z)) (fma.f64 -11167812716741/40000000000000 (/.f64 (*.f64 y -32799322535300801395943207394609/1000000000000000000000000000000) (pow.f64 z 4)) (*.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3))))) |
(fma.f64 11167812716741/40000000000000 (/.f64 y (*.f64 z z)) (fma.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3)) (/.f64 -11167812716741/40000000000000 (/.f64 (pow.f64 z 4) (*.f64 y -32799322535300801395943207394609/1000000000000000000000000000000))))) |
(+.f64 (*.f64 (/.f64 y (*.f64 z z)) (+.f64 11167812716741/40000000000000 (/.f64 -67146018980080728955218948323/40000000000000000000000000000 z))) (/.f64 (*.f64 y 366296691310221946713262996189733536727449269/40000000000000000000000000000000000000000000) (pow.f64 z 4))) |
(*.f64 (/.f64 y (*.f64 z z)) (+.f64 (+.f64 11167812716741/40000000000000 (/.f64 -67146018980080728955218948323/40000000000000000000000000000 z)) (/.f64 366296691310221946713262996189733536727449269/40000000000000000000000000000000000000000000 (*.f64 z z)))) |
(+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 (+.f64 (*.f64 6012459259764103/1000000000000000 (+.f64 (*.f64 -36149666350323105395943207394609/1000000000000000000000000000000 y) (*.f64 104698244219447/31250000000000 y))) (*.f64 629493927938257585512585111041/31250000000000000000000000000 y)) (pow.f64 z 5))) (+.f64 (*.f64 -11167812716741/40000000000000 (/.f64 (+.f64 (*.f64 -36149666350323105395943207394609/1000000000000000000000000000000 y) (*.f64 104698244219447/31250000000000 y)) (pow.f64 z 4))) (*.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3)))))) |
(fma.f64 11167812716741/40000000000000 (/.f64 y (*.f64 z z)) (fma.f64 -11167812716741/40000000000000 (/.f64 (fma.f64 -629493927938257585512585111041/31250000000000000000000000000 y (*.f64 (*.f64 y -32799322535300801395943207394609/1000000000000000000000000000000) -6012459259764103/1000000000000000)) (pow.f64 z 5)) (fma.f64 -11167812716741/40000000000000 (/.f64 (*.f64 y -32799322535300801395943207394609/1000000000000000000000000000000) (pow.f64 z 4)) (*.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3)))))) |
(fma.f64 11167812716741/40000000000000 (/.f64 y (*.f64 z z)) (fma.f64 -11167812716741/40000000000000 (/.f64 (fma.f64 y -629493927938257585512585111041/31250000000000000000000000000 (*.f64 y 197204590491358718450349810586918541334573920727/1000000000000000000000000000000000000000000000)) (pow.f64 z 5)) (fma.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3)) (/.f64 -11167812716741/40000000000000 (/.f64 (pow.f64 z 4) (*.f64 y -32799322535300801395943207394609/1000000000000000000000000000000)))))) |
(+.f64 (*.f64 (/.f64 y (*.f64 z z)) (+.f64 11167812716741/40000000000000 (/.f64 -67146018980080728955218948323/40000000000000000000000000000 z))) (fma.f64 11167812716741/40000000000000 (/.f64 (*.f64 y -177060784797334475713947087033606541334573920727/1000000000000000000000000000000000000000000000) (pow.f64 z 5)) (/.f64 (*.f64 y 366296691310221946713262996189733536727449269/40000000000000000000000000000000000000000000) (pow.f64 z 4)))) |
(+.f64 (*.f64 (/.f64 y (*.f64 z z)) (+.f64 (+.f64 11167812716741/40000000000000 (/.f64 -67146018980080728955218948323/40000000000000000000000000000 z)) (/.f64 366296691310221946713262996189733536727449269/40000000000000000000000000000000000000000000 (*.f64 z z)))) (/.f64 (*.f64 y -1977381684095813482318236303629104643148936689465885839790707/40000000000000000000000000000000000000000000000000000000000) (pow.f64 z 5))) |
(*.f64 11167812716741/40000000000000 y) |
(*.f64 11167812716741/40000000000000 y) |
(*.f64 11167812716741/40000000000000 y) |
(*.f64 11167812716741/40000000000000 y) |
(*.f64 11167812716741/40000000000000 y) |
(*.f64 11167812716741/40000000000000 y) |
(*.f64 11167812716741/40000000000000 y) |
(*.f64 11167812716741/40000000000000 y) |
(*.f64 11167812716741/40000000000000 y) |
(*.f64 11167812716741/40000000000000 y) |
(*.f64 11167812716741/40000000000000 y) |
(*.f64 11167812716741/40000000000000 y) |
6012459259764103/1000000000000000 |
(+.f64 6012459259764103/1000000000000000 z) |
(+.f64 6012459259764103/1000000000000000 z) |
(+.f64 6012459259764103/1000000000000000 z) |
z |
(+.f64 6012459259764103/1000000000000000 z) |
(+.f64 6012459259764103/1000000000000000 z) |
(+.f64 6012459259764103/1000000000000000 z) |
z |
(+.f64 6012459259764103/1000000000000000 z) |
(+.f64 6012459259764103/1000000000000000 z) |
(+.f64 6012459259764103/1000000000000000 z) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) |
| 0.5b | (*.f64 692910599291889/10000000000000000 y) | |
| ✓ | 2.2b | (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x)) |
| ✓ | 30.2b | (*.f64 (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x))) |
Compiled 57 to 37 computations (35.1% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | y | @ | -inf | (*.f64 (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x))) |
| 2.0ms | x | @ | 0 | (*.f64 (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x))) |
| 1.0ms | y | @ | 0 | (*.f64 (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x))) |
| 1.0ms | y | @ | inf | (*.f64 (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x))) |
| 1.0ms | x | @ | inf | (*.f64 (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x))) |
| 1× | batch-egg-rewrite |
| 627× | log-prod_binary64 |
| 497× | fma-def_binary64 |
| 335× | pow2_binary64 |
| 241× | fma-neg_binary64 |
| 232× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 42 |
| 1 | 292 | 25 |
| 2 | 3901 | 25 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x))) |
(-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x)) |
(pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 692910599291889/10000000000000000 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 692910599291889/10000000000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 692910599291889/10000000000000000 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x))) (*.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x)) (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y))) (*.f64 (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x)) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 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| 1× | egg-herbie |
| 612× | fma-def_binary64 |
| 565× | fma-neg_binary64 |
| 556× | unsub-neg_binary64 |
| 484× | unswap-sqr_binary64 |
| 449× | distribute-rgt-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 462 |
| 1 | 30 | 462 |
| 2 | 56 | 462 |
| 3 | 115 | 462 |
| 4 | 301 | 462 |
| 5 | 1027 | 462 |
| 6 | 2122 | 462 |
| 7 | 4216 | 462 |
| 8 | 5736 | 462 |
| 9 | 7263 | 462 |
| 10 | 7973 | 462 |
| 1× | node limit |
| Inputs |
|---|
x |
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(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
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(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(*.f64 692910599291889/10000000000000000 y) |
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(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) |
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) |
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) |
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) |
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) |
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) |
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) |
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) |
| Outputs |
|---|
x |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
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x |
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(*.f64 -1 (pow.f64 x 2)) |
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(+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (*.f64 -1 (pow.f64 x 2))) |
(fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (neg.f64 (*.f64 x x))) |
(fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (*.f64 x (neg.f64 x))) |
(-.f64 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (*.f64 x x)) |
(neg.f64 (fma.f64 y (*.f64 y -480125098611044764748221188321/100000000000000000000000000000000) (*.f64 x x))) |
(neg.f64 (fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (*.f64 x x))) |
(+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (*.f64 -1 (pow.f64 x 2))) |
(fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (neg.f64 (*.f64 x x))) |
(fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (*.f64 x (neg.f64 x))) |
(-.f64 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (*.f64 x x)) |
(neg.f64 (fma.f64 y (*.f64 y -480125098611044764748221188321/100000000000000000000000000000000) (*.f64 x x))) |
(neg.f64 (fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (*.f64 x x))) |
(*.f64 -1 (pow.f64 x 2)) |
(neg.f64 (*.f64 x x)) |
(*.f64 x (neg.f64 x)) |
(+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (*.f64 -1 (pow.f64 x 2))) |
(fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (neg.f64 (*.f64 x x))) |
(fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (*.f64 x (neg.f64 x))) |
(-.f64 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (*.f64 x x)) |
(neg.f64 (fma.f64 y (*.f64 y -480125098611044764748221188321/100000000000000000000000000000000) (*.f64 x x))) |
(neg.f64 (fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (*.f64 x x))) |
(+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (*.f64 -1 (pow.f64 x 2))) |
(fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (neg.f64 (*.f64 x x))) |
(fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (*.f64 x (neg.f64 x))) |
(-.f64 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (*.f64 x x)) |
(neg.f64 (fma.f64 y (*.f64 y -480125098611044764748221188321/100000000000000000000000000000000) (*.f64 x x))) |
(neg.f64 (fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (*.f64 x x))) |
(+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (*.f64 -1 (pow.f64 x 2))) |
(fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (neg.f64 (*.f64 x x))) |
(fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (*.f64 x (neg.f64 x))) |
(-.f64 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (*.f64 x x)) |
(neg.f64 (fma.f64 y (*.f64 y -480125098611044764748221188321/100000000000000000000000000000000) (*.f64 x x))) |
(neg.f64 (fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (*.f64 x x))) |
(*.f64 -1 (pow.f64 x 2)) |
(neg.f64 (*.f64 x x)) |
(*.f64 x (neg.f64 x)) |
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(fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (neg.f64 (*.f64 x x))) |
(fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (*.f64 x (neg.f64 x))) |
(-.f64 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (*.f64 x x)) |
(neg.f64 (fma.f64 y (*.f64 y -480125098611044764748221188321/100000000000000000000000000000000) (*.f64 x x))) |
(neg.f64 (fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (*.f64 x x))) |
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(fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (neg.f64 (*.f64 x x))) |
(fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (*.f64 x (neg.f64 x))) |
(-.f64 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (*.f64 x x)) |
(neg.f64 (fma.f64 y (*.f64 y -480125098611044764748221188321/100000000000000000000000000000000) (*.f64 x x))) |
(neg.f64 (fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (*.f64 x x))) |
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(fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (neg.f64 (*.f64 x x))) |
(fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (*.f64 x (neg.f64 x))) |
(-.f64 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (*.f64 x x)) |
(neg.f64 (fma.f64 y (*.f64 y -480125098611044764748221188321/100000000000000000000000000000000) (*.f64 x x))) |
(neg.f64 (fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (*.f64 x x))) |
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(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) |
(*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) |
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(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) |
(*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) |
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) |
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) |
(*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) |
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) |
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) |
(*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) |
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) |
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) |
(*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) |
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) |
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) |
(*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) |
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) |
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) |
(*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) |
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) |
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) |
(*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) |
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(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) |
(*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) |
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) |
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) |
(*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) |
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) |
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) |
(*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) |
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) |
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) |
(*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.5b | (*.f64 z 692910599291889/10000000000000000) | |
| 2.8b | (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) | |
| ✓ | 20.2b | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (/.f64 (*.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) z) (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)))) 104698244219447/31250000000000)) |
| ✓ | 22.5b | (/.f64 (*.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) z) (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)))) |
Compiled 176 to 128 computations (27.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | 0 | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (/.f64 (*.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) z) (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)))) 104698244219447/31250000000000)) |
| 1.0ms | z | @ | 0 | (/.f64 (*.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) z) (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)))) |
| 1.0ms | y | @ | inf | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (/.f64 (*.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) z) (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)))) 104698244219447/31250000000000)) |
| 1.0ms | z | @ | -inf | (/.f64 (*.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) z) (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)))) |
| 1.0ms | z | @ | inf | (/.f64 (*.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) z) (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)))) |
| 1× | batch-egg-rewrite |
| 498× | log1p-udef_binary64 |
| 288× | add-sqr-sqrt_binary64 |
| 274× | pow1_binary64 |
| 273× | *-un-lft-identity_binary64 |
| 273× | add-cbrt-cube_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 63 |
| 1 | 585 | 63 |
| 2 | 7873 | 63 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) z) (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)))) |
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (/.f64 (*.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) z) (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)))) 104698244219447/31250000000000)) |
| Outputs |
|---|
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(*.f64 (/.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)))) z) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y (+.f64 (*.f64 (/.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)))) z) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 1)))))) |
| 1× | egg-herbie |
| 781× | fma-neg_binary64 |
| 495× | fma-def_binary64 |
| 461× | sub-neg_binary64 |
| 267× | cancel-sign-sub-inv_binary64 |
| 265× | associate-+l+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 116 | 1103 |
| 1 | 355 | 945 |
| 2 | 1328 | 828 |
| 3 | 5741 | 747 |
| 1× | node limit |
| Inputs |
|---|
(*.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 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (/.f64 (*.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) z) (-.f64 (+.f64 (pow.f64 z 2) 36149666350323105395943207394609/1000000000000000000000000000000) (*.f64 6012459259764103/1000000000000000 z))))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (/.f64 (*.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) z) (-.f64 (+.f64 (pow.f64 z 2) 36149666350323105395943207394609/1000000000000000000000000000000) (*.f64 6012459259764103/1000000000000000 z))))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (/.f64 (*.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) z) (-.f64 (+.f64 (pow.f64 z 2) 36149666350323105395943207394609/1000000000000000000000000000000) (*.f64 6012459259764103/1000000000000000 z))))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (/.f64 (*.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) z) (-.f64 (+.f64 (pow.f64 z 2) 36149666350323105395943207394609/1000000000000000000000000000000) (*.f64 6012459259764103/1000000000000000 z))))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (/.f64 (*.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) z) (-.f64 (+.f64 (pow.f64 z 2) 36149666350323105395943207394609/1000000000000000000000000000000) (*.f64 6012459259764103/1000000000000000 z))))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (/.f64 (*.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) z) (-.f64 (+.f64 (pow.f64 z 2) 36149666350323105395943207394609/1000000000000000000000000000000) (*.f64 6012459259764103/1000000000000000 z))))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (/.f64 (*.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) z) (-.f64 (+.f64 (pow.f64 z 2) 36149666350323105395943207394609/1000000000000000000000000000000) (*.f64 6012459259764103/1000000000000000 z))))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (/.f64 (*.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) z) (-.f64 (+.f64 (pow.f64 z 2) 36149666350323105395943207394609/1000000000000000000000000000000) (*.f64 6012459259764103/1000000000000000 z))))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (/.f64 (*.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) z) (-.f64 (+.f64 (pow.f64 z 2) 36149666350323105395943207394609/1000000000000000000000000000000) (*.f64 6012459259764103/1000000000000000 z))))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (/.f64 (*.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) z) (-.f64 (+.f64 (pow.f64 z 2) 36149666350323105395943207394609/1000000000000000000000000000000) (*.f64 6012459259764103/1000000000000000 z))))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (/.f64 (*.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) z) (-.f64 (+.f64 (pow.f64 z 2) 36149666350323105395943207394609/1000000000000000000000000000000) (*.f64 6012459259764103/1000000000000000 z))))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (/.f64 (*.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) z) (-.f64 (+.f64 (pow.f64 z 2) 36149666350323105395943207394609/1000000000000000000000000000000) (*.f64 6012459259764103/1000000000000000 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)))))) |
(-.f64 (+.f64 (*.f64 307332350656623/625000000000000 (/.f64 y z)) (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 -1 (/.f64 (+.f64 (*.f64 6012459259764103/1000000000000000 (-.f64 (*.f64 11167812716741/40000000000000 y) (+.f64 (*.f64 72546523146905574025723165383/312500000000000000000000000000 y) (*.f64 6012459259764103/1000000000000000 (-.f64 (*.f64 307332350656623/625000000000000 y) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 y)))))) (*.f64 104698244219447/31250000000000 (-.f64 (*.f64 307332350656623/625000000000000 y) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 y)))) (pow.f64 z 3)))))) (+.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)))))) |
(*.f64 692910599291889/10000000000000000 y) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -307332350656623/625000000000000 y) (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (*.f64 692910599291889/10000000000000000 y)) |
(-.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))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -307332350656623/625000000000000 y) (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (+.f64 (*.f64 104698244219447/31250000000000 (/.f64 (-.f64 (*.f64 -307332350656623/625000000000000 y) (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 y)) (pow.f64 z 3))) (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 -6012459259764103/1000000000000000 (/.f64 (-.f64 (*.f64 11167812716741/40000000000000 y) (+.f64 (*.f64 -6012459259764103/1000000000000000 (-.f64 (*.f64 -307332350656623/625000000000000 y) (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 y))) (*.f64 72546523146905574025723165383/312500000000000000000000000000 y))) (pow.f64 z 3))) (*.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))))) |
| Outputs |
|---|
(*.f64 6012459259764103/1000000000000000 z) |
(+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z)) |
(+.f64 (*.f64 6012459259764103/1000000000000000 z) (*.f64 z z)) |
(*.f64 z (+.f64 6012459259764103/1000000000000000 z)) |
(+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z)) |
(+.f64 (*.f64 6012459259764103/1000000000000000 z) (*.f64 z z)) |
(*.f64 z (+.f64 6012459259764103/1000000000000000 z)) |
(+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z)) |
(+.f64 (*.f64 6012459259764103/1000000000000000 z) (*.f64 z z)) |
(*.f64 z (+.f64 6012459259764103/1000000000000000 z)) |
(pow.f64 z 2) |
(*.f64 z z) |
(+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z)) |
(+.f64 (*.f64 6012459259764103/1000000000000000 z) (*.f64 z z)) |
(*.f64 z (+.f64 6012459259764103/1000000000000000 z)) |
(+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z)) |
(+.f64 (*.f64 6012459259764103/1000000000000000 z) (*.f64 z z)) |
(*.f64 z (+.f64 6012459259764103/1000000000000000 z)) |
(+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z)) |
(+.f64 (*.f64 6012459259764103/1000000000000000 z) (*.f64 z z)) |
(*.f64 z (+.f64 6012459259764103/1000000000000000 z)) |
(pow.f64 z 2) |
(*.f64 z z) |
(+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z)) |
(+.f64 (*.f64 6012459259764103/1000000000000000 z) (*.f64 z z)) |
(*.f64 z (+.f64 6012459259764103/1000000000000000 z)) |
(+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z)) |
(+.f64 (*.f64 6012459259764103/1000000000000000 z) (*.f64 z z)) |
(*.f64 z (+.f64 6012459259764103/1000000000000000 z)) |
(+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z)) |
(+.f64 (*.f64 6012459259764103/1000000000000000 z) (*.f64 z z)) |
(*.f64 z (+.f64 6012459259764103/1000000000000000 z)) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (/.f64 (*.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) z) (-.f64 (+.f64 (pow.f64 z 2) 36149666350323105395943207394609/1000000000000000000000000000000) (*.f64 6012459259764103/1000000000000000 z))))) |
(/.f64 y (/.f64 (+.f64 104698244219447/31250000000000 (/.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 (+.f64 (*.f64 z z) (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 6012459259764103/1000000000000000 z))) z))) (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000)))))) |
(/.f64 y (/.f64 (+.f64 104698244219447/31250000000000 (/.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 (-.f64 (fma.f64 z z 36149666350323105395943207394609/1000000000000000000000000000000) (*.f64 6012459259764103/1000000000000000 z)) z))) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) |
(/.f64 y (/.f64 (+.f64 104698244219447/31250000000000 (/.f64 (fma.f64 z 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 4)) (fma.f64 z -6012459259764103/1000000000000000 (fma.f64 z z 36149666350323105395943207394609/1000000000000000000000000000000)))) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) |
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(-.f64 (fma.f64 (/.f64 y z) (/.f64 11167812716741/40000000000000 z) (fma.f64 y 692910599291889/10000000000000000 (/.f64 y (/.f64 z 751220861604756070699018739433/10000000000000000000000000000000)))) (fma.f64 (/.f64 y z) (/.f64 72546523146905574025723165383/312500000000000000000000000000 z) (*.f64 (/.f64 y z) (/.f64 4516684825483483349725552750007781576003973599/10000000000000000000000000000000000000000000000 z)))) |
(+.f64 (*.f64 (/.f64 y z) 751220861604756070699018739433/10000000000000000000000000000000) (fma.f64 y 692910599291889/10000000000000000 (/.f64 (*.f64 y -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000) (*.f64 z z)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -307332350656623/625000000000000 y) (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (+.f64 (*.f64 104698244219447/31250000000000 (/.f64 (-.f64 (*.f64 -307332350656623/625000000000000 y) (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 y)) (pow.f64 z 3))) (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 -6012459259764103/1000000000000000 (/.f64 (-.f64 (*.f64 11167812716741/40000000000000 y) (+.f64 (*.f64 -6012459259764103/1000000000000000 (-.f64 (*.f64 -307332350656623/625000000000000 y) (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 y))) (*.f64 72546523146905574025723165383/312500000000000000000000000000 y))) (pow.f64 z 3))) (*.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))))) |
(-.f64 (fma.f64 -1 (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z) (fma.f64 104698244219447/31250000000000 (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) (pow.f64 z 3)) (fma.f64 11167812716741/40000000000000 (/.f64 y (*.f64 z z)) (fma.f64 -6012459259764103/1000000000000000 (/.f64 (-.f64 (*.f64 y 11167812716741/40000000000000) (fma.f64 -6012459259764103/1000000000000000 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) (*.f64 y 72546523146905574025723165383/312500000000000000000000000000))) (pow.f64 z 3)) (*.f64 y 692910599291889/10000000000000000))))) (fma.f64 -6012459259764103/1000000000000000 (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) (*.f64 z z)) (*.f64 (/.f64 y (*.f64 z z)) 72546523146905574025723165383/312500000000000000000000000000))) |
(-.f64 (-.f64 (fma.f64 104698244219447/31250000000000 (/.f64 y (/.f64 (pow.f64 z 3) -751220861604756070699018739433/10000000000000000000000000000000)) (fma.f64 11167812716741/40000000000000 (/.f64 y (*.f64 z z)) (fma.f64 y 692910599291889/10000000000000000 (/.f64 -6012459259764103/1000000000000000 (/.f64 (pow.f64 z 3) (-.f64 (*.f64 y 14702013702633488474276834617/312500000000000000000000000000) (*.f64 y 4516684825483483349725552750007781576003973599/10000000000000000000000000000000000000000000000))))))) (/.f64 y (/.f64 z -751220861604756070699018739433/10000000000000000000000000000000))) (fma.f64 (/.f64 y (*.f64 z z)) 72546523146905574025723165383/312500000000000000000000000000 (/.f64 (*.f64 y 4516684825483483349725552750007781576003973599/10000000000000000000000000000000000000000000000) (*.f64 z z)))) |
(+.f64 (/.f64 (*.f64 y -78651505231038147067106019988416220964353551/312500000000000000000000000000000000000000000) (pow.f64 z 3)) (+.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 -6012459259764103/1000000000000000 (/.f64 (*.f64 y -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000) (pow.f64 z 3)) (*.f64 (/.f64 y z) (/.f64 11167812716741/40000000000000 z)))) (+.f64 (*.f64 (/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z) (-.f64 -1 (/.f64 -6012459259764103/1000000000000000 z))) (*.f64 (/.f64 y (*.f64 z z)) -72546523146905574025723165383/312500000000000000000000000000)))) |
(+.f64 (*.f64 (/.f64 y z) 751220861604756070699018739433/10000000000000000000000000000000) (+.f64 (/.f64 (*.f64 y -78651505231038147067106019988416220964353551/312500000000000000000000000000000000000000000) (pow.f64 z 3)) (+.f64 (/.f64 (*.f64 -6012459259764103/1000000000000000 (*.f64 y -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000)) (pow.f64 z 3)) (fma.f64 y 692910599291889/10000000000000000 (/.f64 (*.f64 y -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000) (*.f64 z z)))))) |
Compiled 15732 to 10793 computations (31.4% saved)
32 alts after pruning (28 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 673 | 15 | 688 |
| Fresh | 7 | 13 | 20 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 4 | 7 |
| Total | 684 | 32 | 716 |
| Status | Error | Program |
|---|---|---|
| 31.9b | x | |
| 16.3b | (+.f64 x (pow.f64 (*.f64 40000000000000/11167812716741 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)) -1)) | |
| 22.2b | (+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)) | |
| 44.0b | (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3) | |
| 38.0b | (/.f64 1 (/.f64 (-.f64 (*.f64 692910599291889/10000000000000000 y) x) (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x)))) | |
| ▶ | 54.2b | (pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) |
| 37.9b | (/.f64 (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 692910599291889/10000000000000000 y) x)) | |
| ✓ | 13.5b | (+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
| 13.7b | (+.f64 (pow.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 692910599291889/10000000000000000)) 3) x) | |
| ▶ | 28.2b | (+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)))))) |
| 16.4b | (+.f64 x (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y))) | |
| 56.3b | (cbrt.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) | |
| 32.5b | (+.f64 x (*.f64 (*.f64 z (*.f64 z 692910599291889/10000000000000000)) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) | |
| 39.3b | (+.f64 (*.f64 (*.f64 692910599291889/10000000000000000 (sqrt.f64 y)) (sqrt.f64 y)) x) | |
| 37.0b | (+.f64 x (/.f64 (*.f64 y (*.f64 z (*.f64 692910599291889/10000000000000000 z))) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) | |
| 22.7b | (+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) | |
| 29.8b | (+.f64 x (*.f64 (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 1147673082894964476557575335949564252827623/30517578125000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3))) (+.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2) (-.f64 10961722342634967150292985809/976562500000000000000000000 (*.f64 (+.f64 z 6012459259764103/1000000000000000) (*.f64 z 104698244219447/31250000000000)))))) | |
| 16.2b | (+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 z z) 104698244219447/31250000000000))) | |
| 37.9b | (*.f64 (-.f64 (*.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 692910599291889/10000000000000000 y)) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x))) | |
| ✓ | 13.3b | (+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
| 54.0b | (*.f64 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x))) | |
| 38.3b | (+.f64 (pow.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2) x) | |
| ▶ | 42.3b | (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
| 16.3b | (+.f64 x (/.f64 11167812716741/40000000000000 (/.f64 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000) y))) | |
| ▶ | 13.7b | (+.f64 (*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) 692910599291889/10000000000000000)) x) |
| 38.5b | (*.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) | |
| 37.9b | (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 692910599291889/10000000000000000 y) y) 692910599291889/10000000000000000) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x))) | |
| ▶ | 43.7b | (*.f64 279195317918525/3350343815022304 y) |
| ✓ | 43.8b | (*.f64 692910599291889/10000000000000000 y) |
| ✓ | 29.7b | (+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z (+.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280)))))))) |
| 22.7b | (+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x)) | |
| 43.9b | (+.f64 x (*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (/.f64 y z) z))) |
Compiled 946 to 705 computations (25.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) 692910599291889/10000000000000000)) |
| ✓ | 0.4b | (pow.f64 (cbrt.f64 y) 2) |
| ✓ | 0.5b | (*.f64 (cbrt.f64 y) 692910599291889/10000000000000000) |
| ✓ | 0.6b | (cbrt.f64 y) |
Compiled 37 to 21 computations (43.2% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) 692910599291889/10000000000000000)) |
| 1.0ms | y | @ | -inf | (pow.f64 (cbrt.f64 y) 2) |
| 1.0ms | y | @ | -inf | (cbrt.f64 y) |
| 1.0ms | y | @ | 0 | (pow.f64 (cbrt.f64 y) 2) |
| 1.0ms | y | @ | 0 | (*.f64 (cbrt.f64 y) 692910599291889/10000000000000000) |
| 1× | batch-egg-rewrite |
| 649× | pow1_binary64 |
| 604× | add-log-exp_binary64 |
| 604× | log1p-expm1-u_binary64 |
| 604× | expm1-log1p-u_binary64 |
| 591× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 164 | 19 |
| 2 | 1734 | 19 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 y) |
(*.f64 (cbrt.f64 y) 692910599291889/10000000000000000) |
(pow.f64 (cbrt.f64 y) 2) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) 692910599291889/10000000000000000)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (cbrt.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y 1/6) (pow.f64 y 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 y) 1/3) (pow.f64 (sqrt.f64 y) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 y 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cbrt.f64 y) 692910599291889/10000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 y) 692910599291889/10000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cbrt.f64 y) 692910599291889/10000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 y) 692910599291889/10000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 y) 692910599291889/10000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 y) 2) 480125098611044764748221188321/100000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cbrt.f64 y)) 692910599291889/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 y) 692910599291889/10000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 y) 692910599291889/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 y) 692910599291889/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cbrt.f64 y) 692910599291889/10000000000000000))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (cbrt.f64 (*.f64 y (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (pow.f64 y 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y 1/6) (*.f64 (pow.f64 y 1/6) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (cbrt.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 y (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y 692910599291889/10000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y 692910599291889/10000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y 692910599291889/10000000000000000) 3) 1/3)))) (#(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 (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) 692910599291889/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y 692910599291889/10000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 y) 692910599291889/10000000000000000) 3) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 y y) (pow.f64 (*.f64 (cbrt.f64 y) 692910599291889/10000000000000000) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y 692910599291889/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y 692910599291889/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y 692910599291889/10000000000000000))))))) |
| 1× | egg-herbie |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 48 |
| 1 | 5 | 48 |
| 1× | saturated |
| 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) |
| 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) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 279195317918525/3350343815022304 y) |
Compiled 8 to 6 computations (25% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) |
| ✓ | 0.1b | (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) |
| ✓ | 0.2b | (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))) |
| ✓ | 2.7b | (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))))) |
Compiled 57 to 41 computations (28.1% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))))) |
| 1.0ms | y | @ | 0 | (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))))) |
| 1.0ms | z | @ | inf | (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))))) |
| 1.0ms | y | @ | -inf | (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))))) |
| 1.0ms | z | @ | inf | (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))) |
| 1× | batch-egg-rewrite |
| 585× | log-prod_binary64 |
| 568× | prod-diff_binary64 |
| 323× | pow2_binary64 |
| 322× | fma-def_binary64 |
| 225× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 37 |
| 1 | 254 | 29 |
| 2 | 3490 | 29 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))))) |
(*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))) |
(*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) |
(+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 279195317918525/3350343815022304) (*.f64 y (*.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080))) (*.f64 y 279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (fma.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y 279195317918525/3350343815022304) 1) (*.f64 (*.f64 y (*.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (fma.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y 279195317918525/3350343815022304) 3) (pow.f64 (*.f64 y (*.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080))) 3)) (+.f64 (pow.f64 (*.f64 y 279195317918525/3350343815022304) 2) (-.f64 (pow.f64 (*.f64 y (*.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080))) 2) (*.f64 (*.f64 y 279195317918525/3350343815022304) (*.f64 y (*.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y 279195317918525/3350343815022304) 2) (pow.f64 (*.f64 y (*.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080))) 2)) (-.f64 (*.f64 y 279195317918525/3350343815022304) (*.f64 y (*.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 (*.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080)) 3)) y) (fma.f64 (*.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080)) (fma.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080) -279195317918525/3350343815022304) 77950025547626246938538175625/11224803678858206361900017468416))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 77950025547626246938538175625/11224803678858206361900017468416 (pow.f64 (*.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080)) 2)) y) (-.f64 279195317918525/3350343815022304 (*.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 (*.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080)) 3))) (fma.f64 (*.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080)) (fma.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080) -279195317918525/3350343815022304) 77950025547626246938538175625/11224803678858206361900017468416))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 77950025547626246938538175625/11224803678858206361900017468416 (pow.f64 (*.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080)) 2))) (-.f64 279195317918525/3350343815022304 (*.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (fma.f64 z (fma.f64 z 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149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) 1 -155900051080628738716045985239/56124018394291031809500087342080)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) (cbrt.f64 (*.f64 22270755382715139919125679637099019108685387250656870803637165541780338226039593446491841/35357070179079845866511210226550729874748043044456501156829946133411888915550690975471265382400 (*.f64 z z))) -155900051080628738716045985239/56124018394291031809500087342080)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 22270755382715139919125679637099019108685387250656870803637165541780338226039593446491841/35357070179079845866511210226550729874748043044456501156829946133411888915550690975471265382400 (*.f64 z z))) (cbrt.f64 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) -155900051080628738716045985239/56124018394291031809500087342080)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) (sqrt.f64 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) -155900051080628738716045985239/56124018394291031809500087342080)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) -155900051080628738716045985239/56124018394291031809500087342080)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (sqrt.f64 z)) (sqrt.f64 z) -155900051080628738716045985239/56124018394291031809500087342080))))) |
| 1× | egg-herbie |
| 991× | fma-def_binary64 |
| 751× | sqr-pow_binary64 |
| 553× | fabs-mul_binary64 |
| 529× | cube-prod_binary64 |
| 425× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 540 |
| 1 | 63 | 477 |
| 2 | 126 | 464 |
| 3 | 248 | 462 |
| 4 | 603 | 462 |
| 5 | 1610 | 462 |
| 6 | 2403 | 462 |
| 7 | 3034 | 462 |
| 8 | 3192 | 462 |
| 9 | 3489 | 462 |
| 10 | 3748 | 462 |
| 11 | 3991 | 462 |
| 12 | 4306 | 462 |
| 13 | 4678 | 462 |
| 14 | 5132 | 462 |
| 15 | 5725 | 462 |
| 16 | 6433 | 462 |
| 17 | 7289 | 462 |
| 18 | 7715 | 462 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) z))) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) z))) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) z))) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) z))) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) z))) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) z))) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) z))) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) z))) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) z))) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) z))) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) z))) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) z))) |
(*.f64 279195317918525/3350343815022304 y) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) |
(+.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))) |
(+.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))) |
(*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 y (pow.f64 z 2))) |
(+.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 y (pow.f64 z 2))) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) |
(+.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))) |
(+.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))) |
(*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 y (pow.f64 z 2))) |
(+.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 y (pow.f64 z 2))) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) |
(+.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))) |
(+.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))) |
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) |
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2))) |
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2))) |
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2))) |
(*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2)) |
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2))) |
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2))) |
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2))) |
(*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2)) |
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2))) |
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2))) |
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2))) |
(*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) |
(*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) |
(*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) |
(*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) |
(*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) |
(*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) |
(*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) |
(*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) |
(*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) |
(*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) |
(*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) |
(*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) |
-155900051080628738716045985239/56124018394291031809500087342080 |
(-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) |
(-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) |
(-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) |
(*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) |
(-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) |
(-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) |
(-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) |
(*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) |
(-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) |
(-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) |
(-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) |
| Outputs |
|---|
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) z))) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(*.f64 y (fma.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) z))) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(*.f64 y (fma.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) z))) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(*.f64 y (fma.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) z))) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(*.f64 y (fma.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) z))) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(*.f64 y (fma.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) z))) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(*.f64 y (fma.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) z))) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(*.f64 y (fma.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) z))) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(*.f64 y (fma.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) z))) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(*.f64 y (fma.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) z))) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(*.f64 y (fma.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) z))) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(*.f64 y (fma.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) z))) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(*.f64 y (fma.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) |
(*.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 y z))) |
(fma.f64 y 279195317918525/3350343815022304 (*.f64 y (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))) |
(*.f64 y (fma.f64 z -155900051080628738716045985239/56124018394291031809500087342080 279195317918525/3350343815022304)) |
(+.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(*.f64 y (fma.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) |
(+.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(*.f64 y (fma.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) |
(*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 y (pow.f64 z 2))) |
(*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 y (*.f64 z z))) |
(*.f64 y (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z z))) |
(+.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 y (pow.f64 z 2))) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) |
(fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 y (*.f64 z z)) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) |
(fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 y (*.f64 z z)) (*.f64 y (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))) |
(*.f64 y (*.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080))) |
(*.f64 (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080) (*.f64 y z)) |
(+.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(*.f64 y (fma.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) |
(+.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(*.f64 y (fma.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) |
(*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 y (pow.f64 z 2))) |
(*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 y (*.f64 z z))) |
(*.f64 y (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z z))) |
(+.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 y (pow.f64 z 2))) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) |
(fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 y (*.f64 z z)) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) |
(fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 y (*.f64 z z)) (*.f64 y (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))) |
(*.f64 y (*.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080))) |
(*.f64 (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080) (*.f64 y z)) |
(+.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(*.f64 y (fma.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) |
(+.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(*.f64 y (fma.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) |
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) |
(*.f64 z -155900051080628738716045985239/56124018394291031809500087342080) |
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2))) |
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z z))) |
(*.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080)) |
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2))) |
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z z))) |
(*.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080)) |
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2))) |
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z z))) |
(*.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080)) |
(*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2)) |
(*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z z)) |
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2))) |
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z z))) |
(*.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080)) |
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2))) |
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z z))) |
(*.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080)) |
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2))) |
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z z))) |
(*.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080)) |
(*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2)) |
(*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z z)) |
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2))) |
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z z))) |
(*.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080)) |
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2))) |
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z z))) |
(*.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080)) |
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2))) |
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z z))) |
(*.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080)) |
(*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) |
(*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) |
(*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) |
(*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) |
(*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) |
(*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) |
(*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) |
(*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) |
(*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) |
(*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) |
(*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) |
(*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) |
-155900051080628738716045985239/56124018394291031809500087342080 |
(-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) |
(fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080) |
(-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) |
(fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080) |
(-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) |
(fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080) |
(*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) |
(-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) |
(fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080) |
(-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) |
(fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080) |
(-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) |
(fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080) |
(*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) |
(-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) |
(fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080) |
(-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) |
(fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080) |
(-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) |
(fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (+.f64 6012459259764103/1000000000000000 z) z) |
| ✓ | 0.5b | (*.f64 692910599291889/10000000000000000 z) |
| ✓ | 2.8b | (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) |
| ✓ | 20.2b | (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
Compiled 79 to 58 computations (26.6% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | -inf | (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
| 0.0ms | z | @ | inf | (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
| 0.0ms | y | @ | 0 | (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
| 0.0ms | z | @ | 0 | (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
| 0.0ms | y | @ | inf | (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
| 1× | batch-egg-rewrite |
| 612× | prod-diff_binary64 |
| 355× | expm1-udef_binary64 |
| 355× | log1p-udef_binary64 |
| 203× | add-sqr-sqrt_binary64 |
| 192× | *-un-lft-identity_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 55 |
| 1 | 398 | 45 |
| 2 | 5546 | 45 |
| 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 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) |
(*.f64 692910599291889/10000000000000000 z) |
(*.f64 (+.f64 6012459259764103/1000000000000000 z) z) |
| Outputs |
|---|
((#(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 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 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 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))) 2) (cbrt.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 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z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 11167812716741/40000000000000 (*.f64 y (*.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 11167812716741/40000000000000 y (*.f64 y (*.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 692910599291889/10000000000000000 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 692910599291889/10000000000000000 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 z 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) 692910599291889/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 692910599291889/10000000000000000 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 692910599291889/10000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 692910599291889/10000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 692910599291889/10000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 692910599291889/10000000000000000 z)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z z) (*.f64 z 6012459259764103/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z 6012459259764103/1000000000000000) (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) z) (+.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z (-.f64 z 6012459259764103/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z z)) z) (-.f64 6012459259764103/1000000000000000 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3))) (+.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z (-.f64 z 6012459259764103/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z z))) (-.f64 6012459259764103/1000000000000000 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (+.f64 z 6012459259764103/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 1)))))) |
| 1× | egg-herbie |
| 769× | fma-neg_binary64 |
| 510× | fma-def_binary64 |
| 450× | sub-neg_binary64 |
| 264× | associate-+l+_binary64 |
| 263× | cancel-sign-sub-inv_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 110 | 746 |
| 1 | 339 | 660 |
| 2 | 1279 | 582 |
| 3 | 5602 | 501 |
| 1× | node limit |
| Inputs |
|---|
(*.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)))))) |
(-.f64 (+.f64 (*.f64 307332350656623/625000000000000 (/.f64 y z)) (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 -1 (/.f64 (+.f64 (*.f64 6012459259764103/1000000000000000 (-.f64 (*.f64 11167812716741/40000000000000 y) (+.f64 (*.f64 72546523146905574025723165383/312500000000000000000000000000 y) (*.f64 6012459259764103/1000000000000000 (-.f64 (*.f64 307332350656623/625000000000000 y) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 y)))))) (*.f64 104698244219447/31250000000000 (-.f64 (*.f64 307332350656623/625000000000000 y) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 y)))) (pow.f64 z 3)))))) (+.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)))))) |
(*.f64 692910599291889/10000000000000000 y) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -307332350656623/625000000000000 y) (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (*.f64 692910599291889/10000000000000000 y)) |
(-.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))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -307332350656623/625000000000000 y) (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (+.f64 (*.f64 104698244219447/31250000000000 (/.f64 (-.f64 (*.f64 -307332350656623/625000000000000 y) (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 y)) (pow.f64 z 3))) (+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 -6012459259764103/1000000000000000 (/.f64 (-.f64 (*.f64 11167812716741/40000000000000 y) (+.f64 (*.f64 -6012459259764103/1000000000000000 (-.f64 (*.f64 -307332350656623/625000000000000 y) (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 y))) (*.f64 72546523146905574025723165383/312500000000000000000000000000 y))) (pow.f64 z 3))) (*.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))))) |
(*.f64 11167812716741/40000000000000 y) |
(+.f64 (*.f64 307332350656623/625000000000000 (*.f64 y z)) (*.f64 11167812716741/40000000000000 y)) |
(+.f64 (*.f64 307332350656623/625000000000000 (*.f64 y z)) (+.f64 (*.f64 11167812716741/40000000000000 y) (*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))))) |
(+.f64 (*.f64 307332350656623/625000000000000 (*.f64 y z)) (+.f64 (*.f64 11167812716741/40000000000000 y) (*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))))) |
(*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))) |
(+.f64 (*.f64 307332350656623/625000000000000 (*.f64 y z)) (*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2)))) |
(+.f64 (*.f64 307332350656623/625000000000000 (*.f64 y z)) (+.f64 (*.f64 11167812716741/40000000000000 y) (*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))))) |
(+.f64 (*.f64 307332350656623/625000000000000 (*.f64 y z)) (+.f64 (*.f64 11167812716741/40000000000000 y) (*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))))) |
(*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))) |
(+.f64 (*.f64 307332350656623/625000000000000 (*.f64 y z)) (*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2)))) |
(+.f64 (*.f64 307332350656623/625000000000000 (*.f64 y z)) (+.f64 (*.f64 11167812716741/40000000000000 y) (*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))))) |
(+.f64 (*.f64 307332350656623/625000000000000 (*.f64 y z)) (+.f64 (*.f64 11167812716741/40000000000000 y) (*.f64 692910599291889/10000000000000000 (*.f64 y (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 (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)) |
| Outputs |
|---|
(*.f64 279195317918525/3350343815022304 y) |
(+.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 z (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080) (*.f64 279195317918525/3350343815022304 y)) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))) |
(+.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 z (*.f64 y -155900051080628738716045985239/56124018394291031809500087342080) (*.f64 279195317918525/3350343815022304 y))) |
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(fma.f64 y (*.f64 z 307332350656623/625000000000000) (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (*.f64 z 692910599291889/10000000000000000))))) |
(*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))) |
(*.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 z z)) |
(*.f64 y (*.f64 692910599291889/10000000000000000 (*.f64 z z))) |
(*.f64 z (*.f64 692910599291889/10000000000000000 (*.f64 y z))) |
(*.f64 y (*.f64 z (*.f64 z 692910599291889/10000000000000000))) |
(+.f64 (*.f64 307332350656623/625000000000000 (*.f64 y z)) (*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2)))) |
(fma.f64 307332350656623/625000000000000 (*.f64 y z) (*.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 z z))) |
(fma.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 z z) (*.f64 y (*.f64 z 307332350656623/625000000000000))) |
(*.f64 z (+.f64 (*.f64 y 307332350656623/625000000000000) (*.f64 692910599291889/10000000000000000 (*.f64 y z)))) |
(*.f64 y (+.f64 (*.f64 z 307332350656623/625000000000000) (*.f64 z (*.f64 z 692910599291889/10000000000000000)))) |
(+.f64 (*.f64 307332350656623/625000000000000 (*.f64 y z)) (+.f64 (*.f64 11167812716741/40000000000000 y) (*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))))) |
(fma.f64 307332350656623/625000000000000 (*.f64 y z) (fma.f64 11167812716741/40000000000000 y (*.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 z z)))) |
(fma.f64 307332350656623/625000000000000 (*.f64 y z) (fma.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 z z) (*.f64 y 11167812716741/40000000000000))) |
(fma.f64 y (*.f64 z (*.f64 z 692910599291889/10000000000000000)) (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z 307332350656623/625000000000000)))) |
(fma.f64 y (*.f64 z 307332350656623/625000000000000) (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (*.f64 z 692910599291889/10000000000000000))))) |
(+.f64 (*.f64 307332350656623/625000000000000 (*.f64 y z)) (+.f64 (*.f64 11167812716741/40000000000000 y) (*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))))) |
(fma.f64 307332350656623/625000000000000 (*.f64 y z) (fma.f64 11167812716741/40000000000000 y (*.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 z z)))) |
(fma.f64 307332350656623/625000000000000 (*.f64 y z) (fma.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 z z) (*.f64 y 11167812716741/40000000000000))) |
(fma.f64 y (*.f64 z (*.f64 z 692910599291889/10000000000000000)) (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z 307332350656623/625000000000000)))) |
(fma.f64 y (*.f64 z 307332350656623/625000000000000) (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (*.f64 z 692910599291889/10000000000000000))))) |
(*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))) |
(*.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 z z)) |
(*.f64 y (*.f64 692910599291889/10000000000000000 (*.f64 z z))) |
(*.f64 z (*.f64 692910599291889/10000000000000000 (*.f64 y z))) |
(*.f64 y (*.f64 z (*.f64 z 692910599291889/10000000000000000))) |
(+.f64 (*.f64 307332350656623/625000000000000 (*.f64 y z)) (*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2)))) |
(fma.f64 307332350656623/625000000000000 (*.f64 y z) (*.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 z z))) |
(fma.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 z z) (*.f64 y (*.f64 z 307332350656623/625000000000000))) |
(*.f64 z (+.f64 (*.f64 y 307332350656623/625000000000000) (*.f64 692910599291889/10000000000000000 (*.f64 y z)))) |
(*.f64 y (+.f64 (*.f64 z 307332350656623/625000000000000) (*.f64 z (*.f64 z 692910599291889/10000000000000000)))) |
(+.f64 (*.f64 307332350656623/625000000000000 (*.f64 y z)) (+.f64 (*.f64 11167812716741/40000000000000 y) (*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))))) |
(fma.f64 307332350656623/625000000000000 (*.f64 y z) (fma.f64 11167812716741/40000000000000 y (*.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 z z)))) |
(fma.f64 307332350656623/625000000000000 (*.f64 y z) (fma.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 z z) (*.f64 y 11167812716741/40000000000000))) |
(fma.f64 y (*.f64 z (*.f64 z 692910599291889/10000000000000000)) (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z 307332350656623/625000000000000)))) |
(fma.f64 y (*.f64 z 307332350656623/625000000000000) (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (*.f64 z 692910599291889/10000000000000000))))) |
(+.f64 (*.f64 307332350656623/625000000000000 (*.f64 y z)) (+.f64 (*.f64 11167812716741/40000000000000 y) (*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))))) |
(fma.f64 307332350656623/625000000000000 (*.f64 y z) (fma.f64 11167812716741/40000000000000 y (*.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 z z)))) |
(fma.f64 307332350656623/625000000000000 (*.f64 y z) (fma.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 z z) (*.f64 y 11167812716741/40000000000000))) |
(fma.f64 y (*.f64 z (*.f64 z 692910599291889/10000000000000000)) (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z 307332350656623/625000000000000)))) |
(fma.f64 y (*.f64 z 307332350656623/625000000000000) (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (*.f64 z 692910599291889/10000000000000000))))) |
(*.f64 6012459259764103/1000000000000000 z) |
(*.f64 z 6012459259764103/1000000000000000) |
(+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z)) |
(+.f64 (*.f64 z z) (*.f64 z 6012459259764103/1000000000000000)) |
(*.f64 z (+.f64 z 6012459259764103/1000000000000000)) |
(+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z)) |
(+.f64 (*.f64 z z) (*.f64 z 6012459259764103/1000000000000000)) |
(*.f64 z (+.f64 z 6012459259764103/1000000000000000)) |
(+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z)) |
(+.f64 (*.f64 z z) (*.f64 z 6012459259764103/1000000000000000)) |
(*.f64 z (+.f64 z 6012459259764103/1000000000000000)) |
(pow.f64 z 2) |
(*.f64 z z) |
(+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z)) |
(+.f64 (*.f64 z z) (*.f64 z 6012459259764103/1000000000000000)) |
(*.f64 z (+.f64 z 6012459259764103/1000000000000000)) |
(+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z)) |
(+.f64 (*.f64 z z) (*.f64 z 6012459259764103/1000000000000000)) |
(*.f64 z (+.f64 z 6012459259764103/1000000000000000)) |
(+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z)) |
(+.f64 (*.f64 z z) (*.f64 z 6012459259764103/1000000000000000)) |
(*.f64 z (+.f64 z 6012459259764103/1000000000000000)) |
(pow.f64 z 2) |
(*.f64 z z) |
(+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z)) |
(+.f64 (*.f64 z z) (*.f64 z 6012459259764103/1000000000000000)) |
(*.f64 z (+.f64 z 6012459259764103/1000000000000000)) |
(+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z)) |
(+.f64 (*.f64 z z) (*.f64 z 6012459259764103/1000000000000000)) |
(*.f64 z (+.f64 z 6012459259764103/1000000000000000)) |
(+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z)) |
(+.f64 (*.f64 z z) (*.f64 z 6012459259764103/1000000000000000)) |
(*.f64 z (+.f64 z 6012459259764103/1000000000000000)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) |
| ✓ | 0.3b | (pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) |
| 0.5b | (*.f64 692910599291889/10000000000000000 y) |
Compiled 19 to 15 computations (21.1% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | (pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) |
| 2.0ms | y | @ | -inf | (pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) |
| 1.0ms | y | @ | inf | (pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) |
| 1.0ms | y | @ | 0 | (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) |
| 1.0ms | y | @ | -inf | (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) |
| 1× | batch-egg-rewrite |
| 497× | pow1_binary64 |
| 487× | add-sqr-sqrt_binary64 |
| 465× | add-log-exp_binary64 |
| 465× | log1p-expm1-u_binary64 |
| 465× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 146 | 10 |
| 2 | 1319 | 10 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) |
(sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 692910599291889/10000000000000000 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 692910599291889/10000000000000000 y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y 692910599291889/10000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 692910599291889/10000000000000000 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 692910599291889/10000000000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) 692910599291889/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y))) (sqrt.f64 (*.f64 692910599291889/10000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)))))) (#(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 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 1/4) (*.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 1/4) (sqrt.f64 (*.f64 692910599291889/10000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 692910599291889/10000000000000000) (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 692910599291889/10000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) (pow.f64 (*.f64 692910599291889/10000000000000000 y) 1/4)) (pow.f64 (*.f64 692910599291889/10000000000000000 y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 692910599291889/10000000000000000) 2) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 692910599291889/10000000000000000 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 692910599291889/10000000000000000 (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))) (cbrt.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) (sqrt.f64 692910599291889/10000000000000000)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 692910599291889/10000000000000000) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 692910599291889/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 -.f64 (+.f64 1 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y))) (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) (cbrt.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (sqrt.f64 692910599291889/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 1/4) (pow.f64 (*.f64 692910599291889/10000000000000000 y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 692910599291889/10000000000000000) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 692910599291889/10000000000000000 y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Compiled 8342 to 5840 computations (30% saved)
37 alts after pruning (29 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 472 | 10 | 482 |
| Fresh | 4 | 19 | 23 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 7 | 8 |
| Total | 477 | 37 | 514 |
| Status | Error | Program |
|---|---|---|
| 31.9b | x | |
| 16.3b | (+.f64 x (pow.f64 (*.f64 40000000000000/11167812716741 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)) -1)) | |
| 22.2b | (+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)) | |
| 44.0b | (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3) | |
| 46.6b | (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))) | |
| ✓ | 54.2b | (pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) |
| 38.0b | (/.f64 1 (/.f64 (-.f64 (*.f64 692910599291889/10000000000000000 y) x) (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x)))) | |
| 37.9b | (/.f64 (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 692910599291889/10000000000000000 y) x)) | |
| ✓ | 13.5b | (+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
| 44.0b | (*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) 692910599291889/10000000000000000)) | |
| ✓ | 29.7b | (+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z (+.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280)))))))) |
| 13.7b | (+.f64 (pow.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 692910599291889/10000000000000000)) 3) x) | |
| ✓ | 28.2b | (+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)))))) |
| 16.4b | (+.f64 x (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y))) | |
| 56.3b | (cbrt.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) | |
| 32.5b | (+.f64 x (*.f64 (*.f64 z (*.f64 z 692910599291889/10000000000000000)) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) | |
| 43.9b | (+.f64 x (*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (/.f64 y z) z))) | |
| 54.2b | (*.f64 (*.f64 692910599291889/10000000000000000 (sqrt.f64 y)) (sqrt.f64 y)) | |
| 58.2b | (/.f64 (*.f64 y (*.f64 z (*.f64 z 692910599291889/10000000000000000))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) | |
| 13.7b | (+.f64 (*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 3) 692910599291889/10000000000000000)) x) | |
| 37.9b | (*.f64 (-.f64 (*.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 692910599291889/10000000000000000 y)) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x))) | |
| ✓ | 13.3b | (+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
| 29.1b | (+.f64 (sqrt.f64 (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000)) x) | |
| 13.7b | (+.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 y))) (*.f64 (cbrt.f64 y) 692910599291889/10000000000000000)) x) | |
| 54.0b | (*.f64 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x))) | |
| 38.3b | (+.f64 (pow.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2) x) | |
| 53.4b | (pow.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2) | |
| ✓ | 42.3b | (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
| 16.3b | (+.f64 x (/.f64 11167812716741/40000000000000 (/.f64 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000) y))) | |
| 56.3b | (pow.f64 (cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 3/2)) 2) | |
| 38.5b | (*.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) | |
| 37.9b | (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 692910599291889/10000000000000000 y) y) 692910599291889/10000000000000000) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x))) | |
| ✓ | 43.7b | (*.f64 279195317918525/3350343815022304 y) |
| ✓ | 43.8b | (*.f64 692910599291889/10000000000000000 y) |
| 46.9b | (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) | |
| 29.8b | (+.f64 x (*.f64 (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 1147673082894964476557575335949564252827623/30517578125000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3))) (+.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2) (-.f64 10961722342634967150292985809/976562500000000000000000000 (*.f64 (+.f64 z 6012459259764103/1000000000000000) (*.f64 z 104698244219447/31250000000000)))))) | |
| 22.7b | (+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x)) |
Compiled 558 to 419 computations (24.9% saved)
| Inputs |
|---|
x |
x |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 279195317918525/3350343815022304 y) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))) |
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 z z) 104698244219447/31250000000000))) |
(+.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 y 480125098611044764748221188321/100000000000000000000000000000000)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x))) |
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)))))) |
(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(/.f64 (*.f64 y (*.f64 z (*.f64 z 692910599291889/10000000000000000))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 692910599291889/10000000000000000 y) x)) |
(/.f64 1 (/.f64 (-.f64 (*.f64 692910599291889/10000000000000000 y) x) (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x)))) |
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z (+.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280)))))))) |
(+.f64 x (/.f64 (*.f64 y (*.f64 z (*.f64 692910599291889/10000000000000000 z))) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(*.f64 (-.f64 (*.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 692910599291889/10000000000000000 y)) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x))) |
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 692910599291889/10000000000000000 y) y) 692910599291889/10000000000000000) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 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))) |
(+.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 (+.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 (sqrt.f64 (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000)) x) |
(+.f64 x (/.f64 11167812716741/40000000000000 (/.f64 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000) y))) |
(/.f64 (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x)) (-.f64 (*.f64 692910599291889/10000000000000000 y) x)) |
(+.f64 x (*.f64 (*.f64 z (*.f64 z 692910599291889/10000000000000000)) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) |
(/.f64 1 (/.f64 (-.f64 (*.f64 692910599291889/10000000000000000 y) x) (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x))) |
(pow.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2) |
(pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3) |
(pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) |
(cbrt.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) |
(*.f64 (*.f64 692910599291889/10000000000000000 (sqrt.f64 y)) (sqrt.f64 y)) |
(+.f64 (cbrt.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) x) |
(+.f64 (pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) x) |
(+.f64 (pow.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2) x) |
(+.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3) x) |
(+.f64 (*.f64 (*.f64 692910599291889/10000000000000000 (sqrt.f64 y)) (sqrt.f64 y)) x) |
(+.f64 x (pow.f64 (*.f64 40000000000000/11167812716741 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)) -1)) |
(+.f64 x (*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (/.f64 y z) z))) |
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (/.f64 (*.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) z) (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)))) 104698244219447/31250000000000))) |
(+.f64 x (*.f64 (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 1147673082894964476557575335949564252827623/30517578125000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3))) (+.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2) (-.f64 10961722342634967150292985809/976562500000000000000000000 (*.f64 (+.f64 z 6012459259764103/1000000000000000) (*.f64 z 104698244219447/31250000000000)))))) |
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 3/2)) 2) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) 692910599291889/10000000000000000)) |
(+.f64 (pow.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 692910599291889/10000000000000000)) 3) x) |
(+.f64 (*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) 692910599291889/10000000000000000)) x) |
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y))) |
(+.f64 x (*.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 x (*.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) |
(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) |
(+.f64 x (*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (pow.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y) -1))) |
(+.f64 x (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)) |
(+.f64 x (/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) y) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(+.f64 x (*.f64 (/.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (+.f64 1147673082894964476557575335949564252827623/30517578125000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3))) (+.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2) (-.f64 10961722342634967150292985809/976562500000000000000000000 (*.f64 z (*.f64 (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) |
(+.f64 (*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 3) 692910599291889/10000000000000000)) x) |
(+.f64 x (*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (pow.f64 (cbrt.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 3))) |
(+.f64 x (pow.f64 (sqrt.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))) 2)) |
(+.f64 x (pow.f64 (cbrt.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))) 3)) |
(+.f64 x (cbrt.f64 (pow.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)) 3))) |
(fma.f64 y (expm1.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) x) |
(+.f64 x (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (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 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 y))) (*.f64 (cbrt.f64 y) 692910599291889/10000000000000000)) x) |
| Outputs |
|---|
(+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) 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) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)) |
6 calls:
| 160.0ms | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
| 139.0ms | x |
| 106.0ms | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
| 105.0ms | y |
| 101.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 8.1b | 3 | x |
| 10.9b | 2 | y |
| 0.2b | 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)) |
| 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 1030 to 706 computations (31.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 27.0ms | 0.002277581244873426 | 13368035294.664589 |
| 27.0ms | -501374388.91305363 | -171740001.13493082 |
Compiled 30 to 23 computations (23.3% saved)
| Inputs |
|---|
x |
x |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 279195317918525/3350343815022304 y) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))) |
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 z z) 104698244219447/31250000000000))) |
(+.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 y 480125098611044764748221188321/100000000000000000000000000000000)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x))) |
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)))))) |
(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(/.f64 (*.f64 y (*.f64 z (*.f64 z 692910599291889/10000000000000000))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 692910599291889/10000000000000000 y) x)) |
(/.f64 1 (/.f64 (-.f64 (*.f64 692910599291889/10000000000000000 y) x) (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x)))) |
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z (+.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280)))))))) |
(+.f64 x (/.f64 (*.f64 y (*.f64 z (*.f64 692910599291889/10000000000000000 z))) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(*.f64 (-.f64 (*.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 692910599291889/10000000000000000 y)) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x))) |
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 692910599291889/10000000000000000 y) y) 692910599291889/10000000000000000) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 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))) |
(+.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 (+.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 (sqrt.f64 (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000)) x) |
(+.f64 x (/.f64 11167812716741/40000000000000 (/.f64 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000) y))) |
(/.f64 (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x)) (-.f64 (*.f64 692910599291889/10000000000000000 y) x)) |
(+.f64 x (*.f64 (*.f64 z (*.f64 z 692910599291889/10000000000000000)) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) |
(/.f64 1 (/.f64 (-.f64 (*.f64 692910599291889/10000000000000000 y) x) (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x))) |
(pow.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2) |
(pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3) |
(pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) |
(cbrt.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) |
(*.f64 (*.f64 692910599291889/10000000000000000 (sqrt.f64 y)) (sqrt.f64 y)) |
(+.f64 (cbrt.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) x) |
(+.f64 (pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) x) |
(+.f64 (pow.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2) x) |
(+.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3) x) |
(+.f64 (*.f64 (*.f64 692910599291889/10000000000000000 (sqrt.f64 y)) (sqrt.f64 y)) x) |
(+.f64 x (pow.f64 (*.f64 40000000000000/11167812716741 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)) -1)) |
(+.f64 x (*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (/.f64 y z) z))) |
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (/.f64 (*.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) z) (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)))) 104698244219447/31250000000000))) |
(+.f64 x (*.f64 (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 1147673082894964476557575335949564252827623/30517578125000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3))) (+.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2) (-.f64 10961722342634967150292985809/976562500000000000000000000 (*.f64 (+.f64 z 6012459259764103/1000000000000000) (*.f64 z 104698244219447/31250000000000)))))) |
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 3/2)) 2) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) 692910599291889/10000000000000000)) |
(+.f64 (pow.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 692910599291889/10000000000000000)) 3) x) |
(+.f64 (*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) 692910599291889/10000000000000000)) x) |
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y))) |
(+.f64 x (*.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 x (*.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) |
| Outputs |
|---|
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 x (*.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 692910599291889/10000000000000000 y) x) |
6 calls:
| 103.0ms | x |
| 88.0ms | z |
| 83.0ms | y |
| 50.0ms | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
| 48.0ms | (/.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 |
|---|---|---|
| 8.6b | 3 | x |
| 10.9b | 2 | y |
| 0.2b | 3 | z |
| 0.7b | 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))) |
| 0.7b | 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)) |
| 0.7b | 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 741 to 507 computations (31.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 15100167204118444000.0 | 3.895260234737015e+22 |
| 29.0ms | -1.4581111926112835e+46 | -6.378338569750975e+37 |
Compiled 30 to 23 computations (23.3% saved)
| Inputs |
|---|
x |
x |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 279195317918525/3350343815022304 y) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))) |
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 z z) 104698244219447/31250000000000))) |
(+.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 y 480125098611044764748221188321/100000000000000000000000000000000)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x))) |
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)))))) |
(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(/.f64 (*.f64 y (*.f64 z (*.f64 z 692910599291889/10000000000000000))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 692910599291889/10000000000000000 y) x)) |
(/.f64 1 (/.f64 (-.f64 (*.f64 692910599291889/10000000000000000 y) x) (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x)))) |
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z (+.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280)))))))) |
(+.f64 x (/.f64 (*.f64 y (*.f64 z (*.f64 692910599291889/10000000000000000 z))) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(*.f64 (-.f64 (*.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 692910599291889/10000000000000000 y)) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x))) |
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 692910599291889/10000000000000000 y) y) 692910599291889/10000000000000000) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 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))) |
(+.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 (+.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 (sqrt.f64 (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000)) x) |
(+.f64 x (/.f64 11167812716741/40000000000000 (/.f64 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000) y))) |
(/.f64 (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x)) (-.f64 (*.f64 692910599291889/10000000000000000 y) x)) |
(+.f64 x (*.f64 (*.f64 z (*.f64 z 692910599291889/10000000000000000)) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) |
(/.f64 1 (/.f64 (-.f64 (*.f64 692910599291889/10000000000000000 y) x) (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x))) |
(pow.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2) |
(pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3) |
(pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) |
(cbrt.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) |
(*.f64 (*.f64 692910599291889/10000000000000000 (sqrt.f64 y)) (sqrt.f64 y)) |
(+.f64 (cbrt.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) x) |
(+.f64 (pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) x) |
(+.f64 (pow.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2) x) |
(+.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3) x) |
(+.f64 (*.f64 (*.f64 692910599291889/10000000000000000 (sqrt.f64 y)) (sqrt.f64 y)) x) |
(+.f64 x (pow.f64 (*.f64 40000000000000/11167812716741 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)) -1)) |
(+.f64 x (*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (/.f64 y z) z))) |
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (/.f64 (*.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) z) (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z 6012459259764103/1000000000000000)))) 104698244219447/31250000000000))) |
(+.f64 x (*.f64 (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 1147673082894964476557575335949564252827623/30517578125000000000000000000000000000000 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3))) (+.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2) (-.f64 10961722342634967150292985809/976562500000000000000000000 (*.f64 (+.f64 z 6012459259764103/1000000000000000) (*.f64 z 104698244219447/31250000000000)))))) |
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 3/2)) 2) |
(*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) 692910599291889/10000000000000000)) |
(+.f64 (pow.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 692910599291889/10000000000000000)) 3) x) |
(+.f64 (*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) 692910599291889/10000000000000000)) x) |
(+.f64 x (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y))) |
| Outputs |
|---|
(+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)) |
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z (+.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280)))))))) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)) |
6 calls:
| 105.0ms | x |
| 87.0ms | y |
| 84.0ms | z |
| 48.0ms | (+.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))) |
| 43.0ms | (/.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 |
|---|---|---|
| 8.6b | 3 | x |
| 10.9b | 2 | y |
| 0.2b | 3 | z |
| 0.7b | 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))) |
| 0.7b | 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)) |
| 0.7b | 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 703 to 481 computations (31.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 0.002277581244873426 | 13368035294.664589 |
| 27.0ms | -501374388.91305363 | -171740001.13493082 |
Compiled 30 to 23 computations (23.3% saved)
| Inputs |
|---|
x |
x |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 279195317918525/3350343815022304 y) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))) |
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 z z) 104698244219447/31250000000000))) |
(+.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 y 480125098611044764748221188321/100000000000000000000000000000000)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x))) |
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)))))) |
(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(/.f64 (*.f64 y (*.f64 z (*.f64 z 692910599291889/10000000000000000))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 692910599291889/10000000000000000 y) x)) |
(/.f64 1 (/.f64 (-.f64 (*.f64 692910599291889/10000000000000000 y) x) (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x)))) |
| Outputs |
|---|
(+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)) |
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)))))) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)) |
3 calls:
| 47.0ms | x |
| 28.0ms | z |
| 10.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 10.2b | 4 | x |
| 13.3b | 1 | y |
| 0.2b | 3 | z |
Compiled 188 to 123 computations (34.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 0.002277581244873426 | 13368035294.664589 |
| 27.0ms | -501374388.91305363 | -171740001.13493082 |
Compiled 30 to 23 computations (23.3% saved)
| Inputs |
|---|
x |
x |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 279195317918525/3350343815022304 y) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))) |
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 z z) 104698244219447/31250000000000))) |
(+.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 y 480125098611044764748221188321/100000000000000000000000000000000)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x))) |
| Outputs |
|---|
(+.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 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)) |
3 calls:
| 36.0ms | x |
| 23.0ms | z |
| 8.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 10.2b | 4 | x |
| 13.3b | 1 | y |
| 0.4b | 3 | z |
Compiled 115 to 77 computations (33% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 27.0ms | 0.002277581244873426 | 13368035294.664589 |
| 26.0ms | -501374388.91305363 | -171740001.13493082 |
Compiled 30 to 23 computations (23.3% saved)
| Inputs |
|---|
x |
x |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 279195317918525/3350343815022304 y) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))) |
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 z z) 104698244219447/31250000000000))) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)) |
| Outputs |
|---|
(+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)) |
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)) |
3 calls:
| 31.0ms | x |
| 22.0ms | z |
| 8.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 10.2b | 4 | x |
| 13.3b | 1 | y |
| 0.4b | 3 | z |
Compiled 91 to 61 computations (33% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 0.002277581244873426 | 13368035294.664589 |
| 29.0ms | -501374388.91305363 | -171740001.13493082 |
Compiled 30 to 23 computations (23.3% saved)
| Inputs |
|---|
x |
x |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 279195317918525/3350343815022304 y) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))) |
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 z z) 104698244219447/31250000000000))) |
| Outputs |
|---|
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
3 calls:
| 63.0ms | x |
| 40.0ms | z |
| 14.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 10.2b | 4 | x |
| 13.3b | 1 | y |
| 0.6b | 3 | z |
Compiled 80 to 54 computations (32.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 47.0ms | 0.002277581244873426 | 13368035294.664589 |
| 50.0ms | -501374388.91305363 | -171740001.13493082 |
Compiled 30 to 23 computations (23.3% saved)
| Inputs |
|---|
x |
x |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 279195317918525/3350343815022304 y) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))) |
| Outputs |
|---|
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
3 calls:
| 49.0ms | x |
| 30.0ms | z |
| 11.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 10.2b | 4 | x |
| 13.3b | 1 | y |
| 0.9b | 3 | z |
Compiled 40 to 27 computations (32.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 46.0ms | 0.002277581244873426 | 13368035294.664589 |
| 47.0ms | -501374388.91305363 | -171740001.13493082 |
Compiled 30 to 23 computations (23.3% saved)
| Inputs |
|---|
x |
x |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 279195317918525/3350343815022304 y) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
| Outputs |
|---|
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(*.f64 692910599291889/10000000000000000 y) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(*.f64 692910599291889/10000000000000000 y) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
3 calls:
| 51.0ms | z |
| 28.0ms | x |
| 9.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 11.6b | 3 | x |
| 13.3b | 1 | y |
| 10.3b | 5 | z |
Compiled 28 to 19 computations (32.1% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 47.0ms | 1.024133803219259e+208 | 9.830534712927745e+211 |
| 35.0ms | 0.002277581244873426 | 13368035294.664589 |
| 49.0ms | -3.090133067761423e+113 | -5.911606305731933e+112 |
| 48.0ms | -1.675055515619273e+133 | -5.828230158351708e+127 |
Compiled 30 to 23 computations (23.3% saved)
| Inputs |
|---|
x |
x |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 279195317918525/3350343815022304 y) |
| Outputs |
|---|
(*.f64 692910599291889/10000000000000000 y) |
x |
(*.f64 692910599291889/10000000000000000 y) |
x |
(*.f64 279195317918525/3350343815022304 y) |
3 calls:
| 98.0ms | z |
| 24.0ms | x |
| 23.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 21.7b | 5 | x |
| 21.2b | 5 | y |
| 21.4b | 12 | z |
Compiled 23 to 16 computations (30.4% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 27.0ms | 2.7852011623771005e+118 | 1.1959966206978484e+120 |
| 27.0ms | -0.4961783606216699 | -5.185496071613148e-8 |
| 27.0ms | -5.712620842304471e+93 | -1.403399741412741e+92 |
| 28.0ms | -1.873716716388878e+149 | -1.4090211898567274e+147 |
Compiled 30 to 23 computations (23.3% saved)
| Inputs |
|---|
x |
x |
(*.f64 692910599291889/10000000000000000 y) |
| Outputs |
|---|
(*.f64 692910599291889/10000000000000000 y) |
x |
(*.f64 692910599291889/10000000000000000 y) |
x |
(*.f64 692910599291889/10000000000000000 y) |
3 calls:
| 28.0ms | z |
| 20.0ms | y |
| 17.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 22.9b | 5 | x |
| 21.5b | 5 | y |
| 26.0b | 7 | z |
Compiled 20 to 14 computations (30% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 27.0ms | 2.7852011623771005e+118 | 1.1959966206978484e+120 |
| 27.0ms | -0.4961783606216699 | -5.185496071613148e-8 |
| 28.0ms | -5.712620842304471e+93 | -1.403399741412741e+92 |
| 27.0ms | -1.873716716388878e+149 | -1.4090211898567274e+147 |
Compiled 30 to 23 computations (23.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0.0b (0%)
| Inputs |
|---|
x |
x |
| Outputs |
|---|
x |
3 calls:
| 4.0ms | z |
| 4.0ms | y |
| 3.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 31.9b | 1 | x |
| 31.9b | 1 | y |
| 31.9b | 1 | z |
Compiled 17 to 12 computations (29.4% saved)
| 1× | egg-herbie |
| 17× | +-commutative_binary64 |
| 15× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 569 |
| 1 | 138 | 569 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 z -4205833209831153/8388608) (+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)) (if (<=.f64 z 1312936197851903/576460752303423488) (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) (+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)))) |
(if (<=.f64 z -14581111926112834972217713610179321822038720512) (+.f64 (*.f64 692910599291889/10000000000000000 y) x) (if (<=.f64 z 15100167204118444032) (+.f64 x (*.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 692910599291889/10000000000000000 y) x))) |
(if (<=.f64 z -4205833209831153/8388608) (+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)) (if (<=.f64 z 1312936197851903/576460752303423488) (+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z (+.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280)))))))) (+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)))) |
(if (<=.f64 z -4205833209831153/8388608) (+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)) (if (<=.f64 z 1312936197851903/576460752303423488) (+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)))))) (+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)))) |
(if (<=.f64 z -4205833209831153/8388608) (+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)) (if (<=.f64 z 1312936197851903/576460752303423488) (+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x)) (+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)))) |
(if (<=.f64 z -4205833209831153/8388608) (+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)) (if (<=.f64 z 1312936197851903/576460752303423488) (+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) (+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)))) |
(if (<=.f64 z -4205833209831153/8388608) (+.f64 (*.f64 692910599291889/10000000000000000 y) x) (if (<=.f64 z 1312936197851903/576460752303423488) (+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) (+.f64 (*.f64 692910599291889/10000000000000000 y) x))) |
(if (<=.f64 z -4205833209831153/8388608) (+.f64 (*.f64 692910599291889/10000000000000000 y) x) (if (<=.f64 z 1312936197851903/576460752303423488) (+.f64 (*.f64 279195317918525/3350343815022304 y) x) (+.f64 (*.f64 692910599291889/10000000000000000 y) x))) |
(if (<=.f64 z -16750555156192728886221145521162668982040864858483675748843910558419933372165701726552422734480745779770080810840142562049024967311360) (+.f64 (*.f64 279195317918525/3350343815022304 y) x) (if (<=.f64 z -309013306776142327496877836219855421808544173065629517031361315833296597745482298475212324005892790131109344051200) (*.f64 692910599291889/10000000000000000 y) (if (<=.f64 z 1312936197851903/576460752303423488) (+.f64 (*.f64 279195317918525/3350343815022304 y) x) (if (<=.f64 z 10241338032192589953860406618045286062664725325239990810983972462910644291085965087208027394938573866142286822881913931002504443153863070982054941101288753091509441970504986744293564262256417399136261037359104) (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 279195317918525/3350343815022304 y) x))))) |
(if (<=.f64 y -187371671638887795698564704461840756980646630410964378364901840389643721823551532189977115022191507452010059358888137651406282145463754854431379685376) (*.f64 692910599291889/10000000000000000 y) (if (<=.f64 y -5712620842304471402778716187139612865303326262563995764502225226486668203805532086129683070976) x (if (<=.f64 y -8938354720020225/18014398509481984) (*.f64 692910599291889/10000000000000000 y) (if (<=.f64 y 27852011623771004831868913366992148156566082492567420954461314958714519546621720876569256371950565938628410162657886208) x (*.f64 279195317918525/3350343815022304 y))))) |
(if (<=.f64 y -187371671638887795698564704461840756980646630410964378364901840389643721823551532189977115022191507452010059358888137651406282145463754854431379685376) (*.f64 692910599291889/10000000000000000 y) (if (<=.f64 y -5712620842304471402778716187139612865303326262563995764502225226486668203805532086129683070976) x (if (<=.f64 y -8938354720020225/18014398509481984) (*.f64 692910599291889/10000000000000000 y) (if (<=.f64 y 27852011623771004831868913366992148156566082492567420954461314958714519546621720876569256371950565938628410162657886208) x (*.f64 692910599291889/10000000000000000 y))))) |
x |
| Outputs |
|---|
(if (<=.f64 z -4205833209831153/8388608) (+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)) (if (<=.f64 z 1312936197851903/576460752303423488) (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) (+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)))) |
(if (<=.f64 z -14581111926112834972217713610179321822038720512) (+.f64 (*.f64 692910599291889/10000000000000000 y) x) (if (<=.f64 z 15100167204118444032) (+.f64 x (*.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 692910599291889/10000000000000000 y) x))) |
(if (<=.f64 z -4205833209831153/8388608) (+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)) (if (<=.f64 z 1312936197851903/576460752303423488) (+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z (+.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280)))))))) (+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)))) |
(if (<=.f64 z -4205833209831153/8388608) (+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)) (if (<=.f64 z 1312936197851903/576460752303423488) (+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)))))) (+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)))) |
(if (<=.f64 z -4205833209831153/8388608) (+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)) (if (<=.f64 z 1312936197851903/576460752303423488) (+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x)) (+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)))) |
(if (<=.f64 z -4205833209831153/8388608) (+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)) (if (<=.f64 z 1312936197851903/576460752303423488) (+.f64 (*.f64 y 279195317918525/3350343815022304) (+.f64 x (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z y)))) (+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)))) |
(if (<=.f64 z -4205833209831153/8388608) (+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)) (if (<=.f64 z 1312936197851903/576460752303423488) (+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) (+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)))) |
(if (<=.f64 z -4205833209831153/8388608) (+.f64 (*.f64 692910599291889/10000000000000000 y) x) (if (<=.f64 z 1312936197851903/576460752303423488) (+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) (+.f64 (*.f64 692910599291889/10000000000000000 y) x))) |
(if (<=.f64 z -4205833209831153/8388608) (+.f64 (*.f64 692910599291889/10000000000000000 y) x) (if (<=.f64 z 1312936197851903/576460752303423488) (+.f64 (*.f64 279195317918525/3350343815022304 y) x) (+.f64 (*.f64 692910599291889/10000000000000000 y) x))) |
(if (<=.f64 z -4205833209831153/8388608) (+.f64 (*.f64 692910599291889/10000000000000000 y) x) (if (<=.f64 z 1312936197851903/576460752303423488) (+.f64 x (*.f64 y 279195317918525/3350343815022304)) (+.f64 (*.f64 692910599291889/10000000000000000 y) x))) |
(if (<=.f64 z -16750555156192728886221145521162668982040864858483675748843910558419933372165701726552422734480745779770080810840142562049024967311360) (+.f64 (*.f64 279195317918525/3350343815022304 y) x) (if (<=.f64 z -309013306776142327496877836219855421808544173065629517031361315833296597745482298475212324005892790131109344051200) (*.f64 692910599291889/10000000000000000 y) (if (<=.f64 z 1312936197851903/576460752303423488) (+.f64 (*.f64 279195317918525/3350343815022304 y) x) (if (<=.f64 z 10241338032192589953860406618045286062664725325239990810983972462910644291085965087208027394938573866142286822881913931002504443153863070982054941101288753091509441970504986744293564262256417399136261037359104) (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 279195317918525/3350343815022304 y) x))))) |
(if (<=.f64 z -16750555156192728886221145521162668982040864858483675748843910558419933372165701726552422734480745779770080810840142562049024967311360) (+.f64 x (*.f64 y 279195317918525/3350343815022304)) (if (<=.f64 z -309013306776142327496877836219855421808544173065629517031361315833296597745482298475212324005892790131109344051200) (*.f64 692910599291889/10000000000000000 y) (if (<=.f64 z 1312936197851903/576460752303423488) (+.f64 x (*.f64 y 279195317918525/3350343815022304)) (if (<=.f64 z 10241338032192589953860406618045286062664725325239990810983972462910644291085965087208027394938573866142286822881913931002504443153863070982054941101288753091509441970504986744293564262256417399136261037359104) (*.f64 692910599291889/10000000000000000 y) (+.f64 x (*.f64 y 279195317918525/3350343815022304)))))) |
(if (<=.f64 y -187371671638887795698564704461840756980646630410964378364901840389643721823551532189977115022191507452010059358888137651406282145463754854431379685376) (*.f64 692910599291889/10000000000000000 y) (if (<=.f64 y -5712620842304471402778716187139612865303326262563995764502225226486668203805532086129683070976) x (if (<=.f64 y -8938354720020225/18014398509481984) (*.f64 692910599291889/10000000000000000 y) (if (<=.f64 y 27852011623771004831868913366992148156566082492567420954461314958714519546621720876569256371950565938628410162657886208) x (*.f64 279195317918525/3350343815022304 y))))) |
(if (<=.f64 y -187371671638887795698564704461840756980646630410964378364901840389643721823551532189977115022191507452010059358888137651406282145463754854431379685376) (*.f64 692910599291889/10000000000000000 y) (if (<=.f64 y -5712620842304471402778716187139612865303326262563995764502225226486668203805532086129683070976) x (if (<=.f64 y -8938354720020225/18014398509481984) (*.f64 692910599291889/10000000000000000 y) (if (<=.f64 y 27852011623771004831868913366992148156566082492567420954461314958714519546621720876569256371950565938628410162657886208) x (*.f64 y 279195317918525/3350343815022304))))) |
(if (<=.f64 y -187371671638887795698564704461840756980646630410964378364901840389643721823551532189977115022191507452010059358888137651406282145463754854431379685376) (*.f64 692910599291889/10000000000000000 y) (if (<=.f64 y -5712620842304471402778716187139612865303326262563995764502225226486668203805532086129683070976) x (if (<=.f64 y -8938354720020225/18014398509481984) (*.f64 692910599291889/10000000000000000 y) (if (<=.f64 y 27852011623771004831868913366992148156566082492567420954461314958714519546621720876569256371950565938628410162657886208) x (*.f64 692910599291889/10000000000000000 y))))) |
x |
Compiled 431 to 294 computations (31.8% saved)
| 2× | egg-herbie |
| 722× | fma-def_binary64 |
| 722× | fma-def_binary64 |
| 94× | distribute-rgt-out_binary64 |
| 94× | distribute-rgt-out_binary64 |
| 88× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 25 |
| 1 | 39 | 25 |
| 2 | 74 | 23 |
| 3 | 179 | 23 |
| 4 | 358 | 23 |
| 5 | 619 | 23 |
| 6 | 883 | 23 |
| 7 | 1015 | 23 |
| 8 | 1261 | 23 |
| 9 | 1679 | 23 |
| 10 | 1743 | 23 |
| 11 | 1744 | 23 |
| 0 | 19 | 25 |
| 1 | 39 | 25 |
| 2 | 74 | 23 |
| 3 | 179 | 23 |
| 4 | 358 | 23 |
| 5 | 619 | 23 |
| 6 | 883 | 23 |
| 7 | 1015 | 23 |
| 8 | 1261 | 23 |
| 9 | 1679 | 23 |
| 10 | 1743 | 23 |
| 11 | 1744 | 23 |
| 1× | saturated |
| 1× | saturated |
Compiled 406 to 298 computations (26.6% saved)
Compiled 398 to 257 computations (35.4% saved)
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