Time bar (total: 11.4s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 0% | 99.9% | 0.1% | 5 |
| 0% | 99.9% | 0.1% | 6 |
| 6.2% | 93.6% | 0.1% | 7 |
| 9.4% | 90.5% | 0.1% | 8 |
| 14% | 85.8% | 0.1% | 9 |
| 25.7% | 74.1% | 0.1% | 10 |
| 30% | 69.8% | 0.1% | 11 |
| 34.1% | 65.7% | 0.1% | 12 |
Compiled 25 to 19 computations (24% saved)
| 1.6s | 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 |
|---|---|---|
| ▶ | 16.8b | (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) |
| ▶ | 19.4b | (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
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) |
| ✓ | 2.4b | (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) |
| ✓ | 18.8b | (/.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 | |
|---|---|---|---|---|
| 3.0ms | 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 egg-rr> (2) ((x *.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))) (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))) 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 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 2) (cbrt.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 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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))))) |
(+.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 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 (+.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 |
|---|---|---|
| ✓ | 0.1b | (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) |
| ✓ | 0.1b | (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) |
| ✓ | 16.3b | (/.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 | |
|---|---|---|---|---|
| 52.0ms | z | @ | -inf | (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) |
| 2.0ms | z | @ | inf | (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) |
| 1.0ms | 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) |
| 1.0ms | 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 | (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) |
| 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 |
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y) x) |
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y) x) |
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y) x) |
(*.f64 (+.f64 (/.f64 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y) |
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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 279195317918525/3350343815022304 y) x) |
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(+.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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11167812716741/40000000000000 |
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(*.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 |
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692910599291889/10000000000000000 |
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692910599291889/10000000000000000 |
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307332350656623/625000000000000 |
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(*.f64 z 692910599291889/10000000000000000) |
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(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)
20 alts after pruning (20 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 297 | 20 | 317 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 299 | 20 | 319 |
| Status | Error | Program |
|---|---|---|
| 39.6b | (+.f64 x (/.f64 (pow.f64 (sqrt.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 2) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) | |
| ▶ | 12.6b | (+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
| 29.2b | x | |
| 19.6b | (+.f64 x (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 3) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) | |
| 17.9b | (+.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)))) | |
| 23.9b | (+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)) | |
| 39.5b | (pow.f64 (sqrt.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)) 2) | |
| ▶ | 19.4b | (+.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)) |
| 17.1b | (+.f64 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))))) | |
| 14.2b | (+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) | |
| ▶ | 11.5b | (+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
| ▶ | 19.4b | (+.f64 x (/.f64 (+.f64 (*.f64 y (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (*.f64 y 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
| 20.8b | (+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) | |
| ▶ | 27.1b | (+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z (+.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280)))))))) |
| 34.6b | (+.f64 x (/.f64 (*.f64 y (*.f64 z (*.f64 692910599291889/10000000000000000 z))) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) | |
| 34.6b | (+.f64 x (/.f64 (*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) | |
| 24.9b | (+.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))) | |
| 19.9b | (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (expm1.f64 (log1p.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) 104698244219447/31250000000000))) | |
| 18.2b | (+.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)) | |
| 44.2b | (/.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 780 to 581 computations (25.5% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 279195317918525/3350343815022304 y) |
Compiled 14 to 9 computations (35.7% saved)
3 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) |
| 1× | batch-egg-rewrite |
| 345× | pow1_binary64 |
| 338× | add-sqr-sqrt_binary64 |
| 329× | *-un-lft-identity_binary64 |
| 321× | add-log-exp_binary64 |
| 321× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 4 |
| 1 | 80 | 4 |
| 2 | 873 | 4 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 279195317918525/3350343815022304 y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 279195317918525/3350343815022304 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 279195317918525/3350343815022304 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 y) 279195317918525/6700687630044608)) (log.f64 (pow.f64 (exp.f64 y) 279195317918525/6700687630044608)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) 279195317918525/1675171907511152))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) 279195317918525/3350343815022304))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 279195317918525/3350343815022304 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 279195317918525/3350343815022304 y)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 279195317918525/3350343815022304 y)) (+.f64 1 (*.f64 279195317918525/3350343815022304 y))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 279195317918525/3350343815022304 y)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 279195317918525/3350343815022304 y)) (+.f64 1 (*.f64 279195317918525/3350343815022304 y))) 1) (+.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 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2) 1/2)))) (#(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 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 (E.f64) (log.f64 (*.f64 279195317918525/3350343815022304 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 279195317918525/3350343815022304 y)))) (sqrt.f64 (log.f64 (*.f64 279195317918525/3350343815022304 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 279195317918525/3350343815022304 y))) 2)) (cbrt.f64 (log.f64 (*.f64 279195317918525/3350343815022304 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 279195317918525/3350343815022304 y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) 279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 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 exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 279195317918525/3350343815022304 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 279195317918525/3350343815022304 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y))) 2)))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.5b | (*.f64 692910599291889/10000000000000000 y) |
Compiled 14 to 9 computations (35.7% saved)
3 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) |
| 1× | batch-egg-rewrite |
| 345× | pow1_binary64 |
| 338× | add-sqr-sqrt_binary64 |
| 329× | *-un-lft-identity_binary64 |
| 321× | add-log-exp_binary64 |
| 321× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 4 |
| 1 | 80 | 4 |
| 2 | 873 | 4 |
| 1× | node limit |
| Inputs |
|---|
(*.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 0 (*.f64 692910599291889/10000000000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 y) 692910599291889/20000000000000000)) (log.f64 (pow.f64 (exp.f64 y) 692910599291889/20000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) 692910599291889/5000000000000000))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) 692910599291889/10000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 692910599291889/10000000000000000 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 692910599291889/10000000000000000 y)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 692910599291889/10000000000000000 y)) (+.f64 1 (*.f64 692910599291889/10000000000000000 y))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 692910599291889/10000000000000000 y)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 692910599291889/10000000000000000 y)) (+.f64 1 (*.f64 692910599291889/10000000000000000 y))) 1) (+.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 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) 1/2)))) (#(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 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 (E.f64) (log.f64 (*.f64 692910599291889/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 692910599291889/10000000000000000 y)))) (sqrt.f64 (log.f64 (*.f64 692910599291889/10000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 692910599291889/10000000000000000 y))) 2)) (cbrt.f64 (log.f64 (*.f64 692910599291889/10000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 692910599291889/10000000000000000 y))))) (#(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 (*.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 exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 692910599291889/10000000000000000 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y))) 2)))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
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 | |
|---|---|---|---|---|
| 3.0ms | z | @ | 0 | (*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280) |
| 2.0ms | z | @ | inf | (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.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 | y | @ | 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× | 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) 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((#(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)) |
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(*.f64 y (fma.f64 z (fma.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) |
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(fma.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 3) (fma.f64 z -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)))) |
(*.f64 z (fma.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080)) |
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 3)) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2)))) |
(fma.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 3) (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z z)))) |
(fma.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 3) (fma.f64 z -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)))) |
(*.f64 z (fma.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080)) |
(*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) |
(*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) |
(+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 2)) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z)) |
(fma.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (*.f64 z z) (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) |
(*.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) |
(+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 2)) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z)) |
(fma.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (*.f64 z z) (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) |
(*.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) |
(+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 2)) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z)) |
(fma.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (*.f64 z z) (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) |
(*.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) |
(*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 2)) |
(*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (*.f64 z z)) |
(*.f64 z (*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280)) |
(+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 2)) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z)) |
(fma.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (*.f64 z z) (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) |
(*.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) |
(+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 2)) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z)) |
(fma.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (*.f64 z z) (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) |
(*.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) |
(+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 2)) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z)) |
(fma.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (*.f64 z z) (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) |
(*.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) |
(*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 2)) |
(*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (*.f64 z z)) |
(*.f64 z (*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280)) |
(+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 2)) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z)) |
(fma.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (*.f64 z z) (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) |
(*.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) |
(+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 2)) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z)) |
(fma.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (*.f64 z z) (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) |
(*.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) |
(+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 2)) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z)) |
(fma.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (*.f64 z z) (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) |
(*.f64 z (fma.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) |
(*.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) |
(*.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 |
|---|---|---|
| 0.2b | (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) | |
| ✓ | 0.6b | (*.f64 y 11167812716741/40000000000000) |
| ✓ | 2.2b | (*.f64 y (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) |
| ✓ | 18.8b | (/.f64 (+.f64 (*.f64 y (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (*.f64 y 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
Compiled 101 to 69 computations (31.7% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | -inf | (*.f64 y (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) |
| 1.0ms | y | @ | 0 | (/.f64 (+.f64 (*.f64 y (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (*.f64 y 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
| 1.0ms | y | @ | inf | (/.f64 (+.f64 (*.f64 y (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (*.f64 y 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
| 1.0ms | y | @ | -inf | (/.f64 (+.f64 (*.f64 y (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (*.f64 y 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
| 1.0ms | z | @ | -inf | (/.f64 (+.f64 (*.f64 y (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (*.f64 y 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
| 1× | batch-egg-rewrite |
| 640× | fma-def_binary64 |
| 351× | fma-neg_binary64 |
| 343× | expm1-udef_binary64 |
| 343× | log1p-udef_binary64 |
| 264× | log-pow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 39 |
| 1 | 387 | 37 |
| 2 | 5193 | 37 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (*.f64 y (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (*.f64 y 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
(*.f64 y (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) |
(*.f64 y 11167812716741/40000000000000) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (fma.f64 z (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 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 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 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| 1× | egg-herbie |
| 782× | fma-neg_binary64 |
| 502× | fma-def_binary64 |
| 457× | sub-neg_binary64 |
| 269× | associate-+l+_binary64 |
| 264× | cancel-sign-sub-inv_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 120 | 1145 |
| 1 | 371 | 976 |
| 2 | 1371 | 907 |
| 3 | 5949 | 826 |
| 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))) |
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(*.f64 y (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z)) |
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(*.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) |
| Outputs |
|---|
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(*.f64 11167812716741/40000000000000 y) |
(*.f64 y 11167812716741/40000000000000) |
(*.f64 11167812716741/40000000000000 y) |
(*.f64 y 11167812716741/40000000000000) |
(*.f64 11167812716741/40000000000000 y) |
(*.f64 y 11167812716741/40000000000000) |
(*.f64 11167812716741/40000000000000 y) |
(*.f64 y 11167812716741/40000000000000) |
(*.f64 11167812716741/40000000000000 y) |
(*.f64 y 11167812716741/40000000000000) |
(*.f64 11167812716741/40000000000000 y) |
(*.f64 y 11167812716741/40000000000000) |
(*.f64 11167812716741/40000000000000 y) |
(*.f64 y 11167812716741/40000000000000) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) | |
| ✓ | 0.5b | (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) |
| ✓ | 2.4b | (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) |
| ✓ | 18.9b | (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) |
Compiled 95 to 67 computations (29.5% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | z | @ | -inf | (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) |
| 1.0ms | y | @ | 0 | (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) |
| 1.0ms | z | @ | inf | (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) |
| 1.0ms | y | @ | inf | (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) |
| 1.0ms | y | @ | -inf | (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) |
| 1× | batch-egg-rewrite |
| 710× | log-prod_binary64 |
| 296× | pow1/3_binary64 |
| 294× | expm1-udef_binary64 |
| 294× | log1p-udef_binary64 |
| 266× | pow3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 59 |
| 1 | 347 | 56 |
| 2 | 4236 | 56 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) |
(*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(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) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 614× | fma-def_binary64 |
| 527× | distribute-rgt-in_binary64 |
| 504× | fma-neg_binary64 |
| 501× | distribute-lft-in_binary64 |
| 276× | distribute-lft-out_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 134 | 1515 |
| 1 | 377 | 1284 |
| 2 | 1193 | 1229 |
| 3 | 4595 | 1201 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 3350343815022304/279195317918525 y) |
(+.f64 (*.f64 3350343815022304/279195317918525 (/.f64 1 y)) (*.f64 155900051080628738716045985239/389750127738131234692690878125 (/.f64 z y))) |
(+.f64 (*.f64 3350343815022304/279195317918525 (/.f64 1 y)) (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 (/.f64 z y)) (*.f64 -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (/.f64 (pow.f64 z 2) y)))) |
(+.f64 (*.f64 3350343815022304/279195317918525 (/.f64 1 y)) (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 (/.f64 z y)) (+.f64 (*.f64 119290279017840661005388637518195067609906756376454090785993/1519051620718896144731238710708768455317203651375836035156250 (/.f64 (pow.f64 z 3) y)) (*.f64 -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (/.f64 (pow.f64 z 2) y))))) |
(/.f64 10000000000000000/692910599291889 y) |
(-.f64 (*.f64 10000000000000000/692910599291889 (/.f64 1 y)) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 (*.f64 y z)))) |
(-.f64 (+.f64 (*.f64 10000000000000000/692910599291889 (/.f64 1 y)) (*.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (/.f64 1 (*.f64 y (pow.f64 z 2))))) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 (*.f64 y z)))) |
(-.f64 (+.f64 (*.f64 10000000000000000/692910599291889 (/.f64 1 y)) (*.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (/.f64 1 (*.f64 y (pow.f64 z 2))))) (+.f64 (*.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (/.f64 1 (*.f64 y (pow.f64 z 3)))) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 (*.f64 y z))))) |
(/.f64 10000000000000000/692910599291889 y) |
(-.f64 (*.f64 10000000000000000/692910599291889 (/.f64 1 y)) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 (*.f64 y z)))) |
(-.f64 (+.f64 (*.f64 10000000000000000/692910599291889 (/.f64 1 y)) (*.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (/.f64 1 (*.f64 y (pow.f64 z 2))))) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 (*.f64 y z)))) |
(-.f64 (+.f64 (*.f64 10000000000000000/692910599291889 (/.f64 1 y)) (*.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (/.f64 1 (*.f64 y (pow.f64 z 2))))) (+.f64 (*.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (/.f64 1 (*.f64 y (pow.f64 z 3)))) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 (*.f64 y z))))) |
(/.f64 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)) (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z)))) |
(/.f64 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)) (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z)))) |
(/.f64 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)) (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z)))) |
(/.f64 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)) (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z)))) |
(/.f64 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)) (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z)))) |
(/.f64 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)) (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z)))) |
(/.f64 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)) (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z)))) |
(/.f64 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)) (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z)))) |
(/.f64 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)) (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z)))) |
(/.f64 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)) (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z)))) |
(/.f64 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)) (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z)))) |
(/.f64 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 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 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))))) |
(+.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 279195317918525/3350343815022304 y) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 y) (*.f64 -6865795268604552131824157778663263559788647/9793476974037018507454144056137987978277520000 y)) (pow.f64 z 2))) (+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 y) (*.f64 -6865795268604552131824157778663263559788647/9793476974037018507454144056137987978277520000 y)) (pow.f64 z 2))) (+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) (*.f64 -1 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 119290279017840661005388637518195067609906756376454090785993/218743433383521567160070322982114321480122137449695924640000000 y) (+.f64 (*.f64 -155900051080628738716045985239/4677001532857580400218648908000 (+.f64 (*.f64 -24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 y) (*.f64 -6865795268604552131824157778663263559788647/9793476974037018507454144056137987978277520000 y))) (*.f64 1070377833084588788973726117727052156316360747232465402421474123721781633/45804106819576553687002174162632330067352620404716328681375507468948160000000 y)))))))) |
(*.f64 692910599291889/10000000000000000 y) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -188110927636730691205572454543767458515445804899500116387163/2309701997639630000000000000000000000000000000000000000000000 y) (*.f64 70166703669434893762185943175822715389223911/144356374852476875000000000000000000000000000 y)) (pow.f64 z 2))) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 250406953868252023566339579811/230970199763963000000000000000 (+.f64 (*.f64 -188110927636730691205572454543767458515445804899500116387163/2309701997639630000000000000000000000000000000000000000000000 y) (*.f64 70166703669434893762185943175822715389223911/144356374852476875000000000000000000000000000 y))) (+.f64 (*.f64 -839346785333201409483108240465390487987338162444847784242303/266736165895024869304567326845000000000000000000000000000000 y) (*.f64 17570230528839493426834239898767645070470697933346235653484066073134060821/33342020736878108663070915855625000000000000000000000000000000000000000000 y))) (pow.f64 z 3))) (+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -188110927636730691205572454543767458515445804899500116387163/2309701997639630000000000000000000000000000000000000000000000 y) (*.f64 70166703669434893762185943175822715389223911/144356374852476875000000000000000000000000000 y)) (pow.f64 z 2))) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))))) |
(*.f64 692910599291889/10000000000000000 y) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -188110927636730691205572454543767458515445804899500116387163/2309701997639630000000000000000000000000000000000000000000000 y) (*.f64 70166703669434893762185943175822715389223911/144356374852476875000000000000000000000000000 y)) (pow.f64 z 2))) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))) |
(+.f64 (*.f64 -250406953868252023566339579811/230970199763963000000000000000 (/.f64 (+.f64 (*.f64 -188110927636730691205572454543767458515445804899500116387163/2309701997639630000000000000000000000000000000000000000000000 y) (*.f64 70166703669434893762185943175822715389223911/144356374852476875000000000000000000000000000 y)) (pow.f64 z 3))) (+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -188110927636730691205572454543767458515445804899500116387163/2309701997639630000000000000000000000000000000000000000000000 y) (*.f64 70166703669434893762185943175822715389223911/144356374852476875000000000000000000000000000 y)) (pow.f64 z 2))) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) (+.f64 (*.f64 839346785333201409483108240465390487987338162444847784242303/266736165895024869304567326845000000000000000000000000000000 (/.f64 y (pow.f64 z 3))) (*.f64 -17570230528839493426834239898767645070470697933346235653484066073134060821/33342020736878108663070915855625000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 3)))))))) |
(/.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))) |
| Outputs |
|---|
(/.f64 3350343815022304/279195317918525 y) |
(+.f64 (*.f64 3350343815022304/279195317918525 (/.f64 1 y)) (*.f64 155900051080628738716045985239/389750127738131234692690878125 (/.f64 z y))) |
(+.f64 (/.f64 3350343815022304/279195317918525 y) (*.f64 155900051080628738716045985239/389750127738131234692690878125 (/.f64 z y))) |
(fma.f64 155900051080628738716045985239/389750127738131234692690878125 (/.f64 z y) (/.f64 3350343815022304/279195317918525 y)) |
(+.f64 (*.f64 3350343815022304/279195317918525 (/.f64 1 y)) (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 (/.f64 z y)) (*.f64 -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (/.f64 (pow.f64 z 2) y)))) |
(+.f64 (/.f64 3350343815022304/279195317918525 y) (fma.f64 155900051080628738716045985239/389750127738131234692690878125 (/.f64 z y) (/.f64 (*.f64 -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (*.f64 z z)) y))) |
(+.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 (/.f64 z y) (/.f64 3350343815022304/279195317918525 y)) (*.f64 -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (/.f64 z (/.f64 y z)))) |
(fma.f64 155900051080628738716045985239/389750127738131234692690878125 (/.f64 z y) (fma.f64 -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (*.f64 (/.f64 z y) z) (/.f64 3350343815022304/279195317918525 y))) |
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(+.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 (/.f64 z y) (/.f64 3350343815022304/279195317918525 y)) (*.f64 (*.f64 z z) (+.f64 (/.f64 -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 y) (/.f64 119290279017840661005388637518195067609906756376454090785993/1519051620718896144731238710708768455317203651375836035156250 (/.f64 y z))))) |
(/.f64 10000000000000000/692910599291889 y) |
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(-.f64 (/.f64 10000000000000000/692910599291889 y) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 (*.f64 y z))) |
(+.f64 (/.f64 10000000000000000/692910599291889 y) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 (*.f64 y z))) |
(-.f64 (+.f64 (*.f64 10000000000000000/692910599291889 (/.f64 1 y)) (*.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (/.f64 1 (*.f64 y (pow.f64 z 2))))) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 (*.f64 y z)))) |
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(-.f64 (+.f64 (*.f64 10000000000000000/692910599291889 (/.f64 1 y)) (*.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (/.f64 1 (*.f64 y (pow.f64 z 2))))) (+.f64 (*.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (/.f64 1 (*.f64 y (pow.f64 z 3)))) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 (*.f64 y z))))) |
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(-.f64 (+.f64 (/.f64 10000000000000000/692910599291889 y) (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 y (*.f64 z z))) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 (*.f64 y z)))) (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (*.f64 y (pow.f64 z 3)))) |
(-.f64 (+.f64 (/.f64 10000000000000000/692910599291889 y) (/.f64 (/.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) z) y)) (-.f64 (/.f64 (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 y) (pow.f64 z 3)) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 (*.f64 y z)))) |
(+.f64 (*.f64 (/.f64 1 (*.f64 y z)) (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107)) (-.f64 (/.f64 10000000000000000/692910599291889 y) (/.f64 (/.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 y) (pow.f64 z 3)))) |
(/.f64 10000000000000000/692910599291889 y) |
(-.f64 (*.f64 10000000000000000/692910599291889 (/.f64 1 y)) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 (*.f64 y z)))) |
(-.f64 (/.f64 10000000000000000/692910599291889 y) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 (*.f64 y z))) |
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(/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) |
(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) |
(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) |
(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) |
(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) |
(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) |
(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) |
(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) |
(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) |
(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) |
(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) |
(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) |
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) |
(/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) |
Compiled 13275 to 9312 computations (29.9% saved)
19 alts after pruning (16 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 571 | 11 | 582 |
| Fresh | 10 | 5 | 15 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 3 | 4 |
| Total | 583 | 19 | 602 |
| Status | Error | Program |
|---|---|---|
| ✓ | 12.6b | (+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
| 29.2b | x | |
| 17.9b | (+.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)))) | |
| 11.8b | (+.f64 (pow.f64 (cbrt.f64 (*.f64 279195317918525/3350343815022304 y)) 3) x) | |
| 34.6b | (+.f64 x (/.f64 (*.f64 y (*.f64 z (*.f64 692910599291889/10000000000000000 z))) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) | |
| 12.6b | (+.f64 x (pow.f64 (/.f64 10000000000000000/692910599291889 y) -1)) | |
| ▶ | 14.2b | (+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
| ▶ | 28.2b | (+.f64 (cbrt.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) x) |
| ✓ | 11.5b | (+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
| 18.1b | (+.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))) | |
| ▶ | 19.4b | (+.f64 x (/.f64 (+.f64 (*.f64 y (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z)) (*.f64 y 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
| 44.2b | (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) | |
| ▶ | 11.5b | (+.f64 x (pow.f64 (/.f64 3350343815022304/279195317918525 y) -1)) |
| ✓ | 27.1b | (+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z (+.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280)))))))) |
| ▶ | 23.9b | (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) |
| 37.3b | (+.f64 (pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) x) | |
| 20.8b | (+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) | |
| 25.9b | (+.f64 (/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 692910599291889/10000000000000000 y)) (+.f64 1 (*.f64 692910599291889/10000000000000000 y))) 1) (+.f64 (+.f64 1 (*.f64 692910599291889/10000000000000000 y)) 1)) x) | |
| 24.8b | (+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)))))) |
Compiled 530 to 404 computations (23.8% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 3350343815022304/279195317918525 y) |
| ✓ | 0.4b | (pow.f64 (/.f64 3350343815022304/279195317918525 y) -1) |
Compiled 22 to 16 computations (27.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (pow.f64 (/.f64 3350343815022304/279195317918525 y) -1) |
| 1.0ms | y | @ | -inf | (pow.f64 (/.f64 3350343815022304/279195317918525 y) -1) |
| 1.0ms | y | @ | inf | (pow.f64 (/.f64 3350343815022304/279195317918525 y) -1) |
| 0.0ms | y | @ | -inf | (/.f64 3350343815022304/279195317918525 y) |
| 0.0ms | y | @ | 0 | (/.f64 3350343815022304/279195317918525 y) |
| 1× | batch-egg-rewrite |
| 554× | pow1_binary64 |
| 524× | add-log-exp_binary64 |
| 524× | log1p-expm1-u_binary64 |
| 524× | expm1-log1p-u_binary64 |
| 513× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 11 |
| 1 | 129 | 8 |
| 2 | 1480 | 8 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (/.f64 3350343815022304/279195317918525 y) -1) |
(/.f64 3350343815022304/279195317918525 y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y 279195317918525/3350343815022304)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y 279195317918525/3350343815022304)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 279195317918525/3350343815022304) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y 279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) (cbrt.f64 (pow.f64 (/.f64 3350343815022304/279195317918525 y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 3350343815022304/279195317918525 y) -2)) (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 279195317918525/3350343815022304 y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 279195317918525/3350343815022304 (pow.f64 (/.f64 1 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 3350343815022304/279195317918525 y)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 3350343815022304/279195317918525 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 3350343815022304/279195317918525 y)) -1) (pow.f64 (sqrt.f64 (/.f64 3350343815022304/279195317918525 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -279195317918525/3350343815022304 (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y 3350343815022304/279195317918525)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 3350343815022304/279195317918525 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 3350343815022304/279195317918525 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 3350343815022304/279195317918525 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 3350343815022304/279195317918525 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 y) (/.f64 3350343815022304/279195317918525 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) -3350343815022304/279195317918525)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) (sqrt.f64 (/.f64 3350343815022304/279195317918525 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 279195317918525/3350343815022304 (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 3350343815022304/279195317918525 y)) 2)) (cbrt.f64 (/.f64 3350343815022304/279195317918525 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 3350343815022304/279195317918525 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 y 279195317918525/3350343815022304)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y 279195317918525/3350343815022304) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y 279195317918525/3350343815022304)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y 279195317918525/3350343815022304)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y 279195317918525/3350343815022304))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 3350343815022304/279195317918525 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3350343815022304/279195317918525 (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3350343815022304/279195317918525 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 3350343815022304/279195317918525 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 3350343815022304/279195317918525 y)) (pow.f64 (cbrt.f64 (/.f64 3350343815022304/279195317918525 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 3350343815022304/279195317918525 y)) 2) (cbrt.f64 (/.f64 3350343815022304/279195317918525 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 3350343815022304/279195317918525 y)) (sqrt.f64 (/.f64 3350343815022304/279195317918525 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -3350343815022304/279195317918525 (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) 3350343815022304/279195317918525)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3350343815022304/279195317918525 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y 279195317918525/3350343815022304) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 3350343815022304/279195317918525 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 3350343815022304/279195317918525 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 3350343815022304/279195317918525 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 3350343815022304/279195317918525 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 3350343815022304/279195317918525 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 3350343815022304/279195317918525 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 3350343815022304/279195317918525 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 3350343815022304/279195317918525 y))))))) |
| 1× | egg-herbie |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 48 |
| 1 | 5 | 48 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
| Outputs |
|---|
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) |
| ✓ | 0.2b | (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) |
| ✓ | 0.3b | (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
Compiled 32 to 22 computations (31.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
| 1.0ms | y | @ | -inf | (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
| 1.0ms | y | @ | inf | (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
| 1.0ms | z | @ | inf | (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
| 1.0ms | z | @ | 0 | (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
| 1× | batch-egg-rewrite |
| 965× | pow1_binary64 |
| 910× | add-log-exp_binary64 |
| 910× | log1p-expm1-u_binary64 |
| 910× | expm1-log1p-u_binary64 |
| 94× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 21 |
| 1 | 184 | 21 |
| 2 | 2448 | 21 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
(/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) |
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (*.f64 y 692910599291889/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y 692910599291889/10000000000000000) 1) (*.f64 (*.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y 692910599291889/10000000000000000) 3) (pow.f64 (*.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 3)) (+.f64 (*.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 y 692910599291889/10000000000000000)) (-.f64 (*.f64 (*.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (*.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) (*.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 y 692910599291889/10000000000000000)) (*.f64 (*.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (*.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) (-.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 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692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 692910599291889/10000000000000000 (*.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 692910599291889/10000000000000000 y (*.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (pow.f64 (cbrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 2) (cbrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (sqrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) 751220861604756070699018739433/10000000000000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z 10000000000000000000000000000000/751220861604756070699018739433) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 480125098611044764748221188321/100000000000000000000000000000000 (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) (/.f64 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2) (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z) 692910599291889/10000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 2) (cbrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 692910599291889/10000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (sqrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 692910599291889/10000000000000000))))) |
| 1× | egg-herbie |
| 27× | fma-def_binary64 |
| 11× | associate-*l*_binary64 |
| 9× | associate-*r*_binary64 |
| 8× | associate-/l*_binary64 |
| 6× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 294 |
| 1 | 32 | 294 |
| 2 | 55 | 294 |
| 3 | 74 | 294 |
| 4 | 80 | 294 |
| 5 | 112 | 294 |
| 6 | 122 | 294 |
| 7 | 129 | 294 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) |
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) |
(*.f64 692910599291889/10000000000000000 y) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) |
(*.f64 692910599291889/10000000000000000 y) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) |
(/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) |
(+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) |
(+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) |
(+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) |
692910599291889/10000000000000000 |
(+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) |
(+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) |
(+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) |
692910599291889/10000000000000000 |
(+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) |
(+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) |
(+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) |
| Outputs |
|---|
(*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) |
(*.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 y 692910599291889/10000000000000000) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 y 692910599291889/10000000000000000) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) |
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
(/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) |
(+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) |
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) |
(+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) |
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) |
(+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) |
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) |
692910599291889/10000000000000000 |
(+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) |
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) |
(+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) |
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) |
(+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) |
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) |
692910599291889/10000000000000000 |
(+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) |
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) |
(+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) |
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) |
(+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) |
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 z 6012459259764103/1000000000000000) |
| 0.2b | (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) | |
| 0.6b | (*.f64 y 11167812716741/40000000000000) | |
| ✓ | 5.7b | (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
Compiled 51 to 35 computations (31.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | inf | (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
| 2.0ms | y | @ | 0 | (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
| 2.0ms | 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)) |
| 1.0ms | y | @ | -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 | 18 |
| 1 | 251 | 18 |
| 2 | 3335 | 18 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
(+.f64 z 6012459259764103/1000000000000000) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 z 6012459259764103/1000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 z z) (-.f64 z 6012459259764103/1000000000000000)) (/.f64 36149666350323105395943207394609/1000000000000000000000000000000 (-.f64 z 6012459259764103/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z 6012459259764103/1000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 z 6012459259764103/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 z 6012459259764103/1000000000000000)) (pow.f64 (cbrt.f64 (+.f64 z 6012459259764103/1000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 z 6012459259764103/1000000000000000)) 2) (cbrt.f64 (+.f64 z 6012459259764103/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 z 6012459259764103/1000000000000000)) (sqrt.f64 (+.f64 z 6012459259764103/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) (/.f64 1 (-.f64 (fma.f64 z z 36149666350323105395943207394609/1000000000000000000000000000000) (*.f64 z 6012459259764103/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000) (/.f64 1 (-.f64 z 6012459259764103/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 z z 36149666350323105395943207394609/1000000000000000000000000000000) (*.f64 z 6012459259764103/1000000000000000)) (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 z 6012459259764103/1000000000000000) (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) (-.f64 (fma.f64 z z 36149666350323105395943207394609/1000000000000000000000000000000) (*.f64 z 6012459259764103/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) (+.f64 36149666350323105395943207394609/1000000000000000000000000000000 (-.f64 (*.f64 z z) (*.f64 z 6012459259764103/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000) (-.f64 z 6012459259764103/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3))) (neg.f64 (-.f64 (fma.f64 z z 36149666350323105395943207394609/1000000000000000000000000000000) (*.f64 z 6012459259764103/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000)) (neg.f64 (-.f64 z 6012459259764103/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z z)) (-.f64 6012459259764103/1000000000000000 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z 6012459259764103/1000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 z 6012459259764103/1000000000000000) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 z 6012459259764103/1000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 z 6012459259764103/1000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 z 6012459259764103/1000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 z z 36149666350323105395943207394609/1000000000000000000000000000000) (*.f64 z 6012459259764103/1000000000000000)) (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 z 6012459259764103/1000000000000000) (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 z 6012459259764103/1000000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 z 6012459259764103/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 z 6012459259764103/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 z 6012459259764103/1000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 z 6012459259764103/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 z 6012459259764103/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 z 6012459259764103/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 z 6012459259764103/1000000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z 1 6012459259764103/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 z 6012459259764103/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2) 6012459259764103/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) 6012459259764103/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (sqrt.f64 z) 6012459259764103/1000000000000000))))) |
| 1× | egg-herbie |
| 549× | distribute-rgt-in_binary64 |
| 528× | distribute-lft-in_binary64 |
| 412× | times-frac_binary64 |
| 399× | distribute-rgt-out_binary64 |
| 391× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 546 |
| 1 | 217 | 513 |
| 2 | 701 | 464 |
| 3 | 2372 | 447 |
| 4 | 6523 | 447 |
| 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)))))) |
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 (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)) y) |
(*.f64 y (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000))) |
(*.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 (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)) y) |
(*.f64 y (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000))) |
(*.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 (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)) y) |
(*.f64 y (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000))) |
(*.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 (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)) y) |
(*.f64 y (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000))) |
(*.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 (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)) y) |
(*.f64 y (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000))) |
(*.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 (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)) y) |
(*.f64 y (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000))) |
(*.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 (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)) y) |
(*.f64 y (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000))) |
(*.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 (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)) y) |
(*.f64 y (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000))) |
(*.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 (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)) y) |
(*.f64 y (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000))) |
(*.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 (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)) y) |
(*.f64 y (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000))) |
(*.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 (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)) y) |
(*.f64 y (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000))) |
(*.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 (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)) y) |
(*.f64 y (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000))) |
(*.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 y (*.f64 -1000955887918115276975805889728057861328125/1147673082894964476557575335949564252827623 (*.f64 z z)))))) |
(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 y (*.f64 -1000955887918115276975805889728057861328125/1147673082894964476557575335949564252827623 (*.f64 z z))) (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 z (*.f64 -11167812716741/40000000000000 (*.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 (*.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 (/.f64 -67146018980080728955218948323/40000000000000000000000000000 z) 11167812716741/40000000000000)) |
(*.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 (*.f64 (*.f64 -11167812716741/40000000000000 y) -32799322535300801395943207394609/1000000000000000000000000000000) (pow.f64 z 4)))) |
(+.f64 (*.f64 (/.f64 y (*.f64 z z)) (+.f64 (/.f64 -67146018980080728955218948323/40000000000000000000000000000 z) 11167812716741/40000000000000)) (/.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 -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)))))) |
(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 (*.f64 (*.f64 -11167812716741/40000000000000 y) -32799322535300801395943207394609/1000000000000000000000000000000) (pow.f64 z 4))))) |
(fma.f64 11167812716741/40000000000000 (/.f64 (*.f64 y -177060784797334475713947087033606541334573920727/1000000000000000000000000000000000000000000000) (pow.f64 z 5)) (+.f64 (*.f64 (/.f64 y (*.f64 z z)) (+.f64 (/.f64 -67146018980080728955218948323/40000000000000000000000000000 z) 11167812716741/40000000000000)) (/.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 (/.f64 y (pow.f64 z 2))) |
(/.f64 (*.f64 11167812716741/40000000000000 y) (*.f64 z z)) |
(*.f64 11167812716741/40000000000000 (/.f64 y (*.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 (/.f64 -67146018980080728955218948323/40000000000000000000000000000 z) 11167812716741/40000000000000)) |
(*.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 (*.f64 (*.f64 -11167812716741/40000000000000 y) -32799322535300801395943207394609/1000000000000000000000000000000) (pow.f64 z 4)))) |
(+.f64 (*.f64 (/.f64 y (*.f64 z z)) (+.f64 (/.f64 -67146018980080728955218948323/40000000000000000000000000000 z) 11167812716741/40000000000000)) (/.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 (*.f64 (*.f64 -11167812716741/40000000000000 y) -32799322535300801395943207394609/1000000000000000000000000000000) (pow.f64 z 4))))) |
(fma.f64 11167812716741/40000000000000 (/.f64 (*.f64 y -177060784797334475713947087033606541334573920727/1000000000000000000000000000000000000000000000) (pow.f64 z 5)) (+.f64 (*.f64 (/.f64 y (*.f64 z z)) (+.f64 (/.f64 -67146018980080728955218948323/40000000000000000000000000000 z) 11167812716741/40000000000000)) (/.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))) |
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 |
|---|---|---|
| ✓ | 0.5b | (*.f64 692910599291889/10000000000000000 z) |
| 0.6b | (*.f64 y 11167812716741/40000000000000) | |
| ✓ | 2.2b | (*.f64 y (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z)) |
| ✓ | 18.8b | (/.f64 (+.f64 (*.f64 y (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z)) (*.f64 y 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
Compiled 110 to 77 computations (30% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | inf | (*.f64 y (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z)) |
| 1.0ms | y | @ | 0 | (/.f64 (+.f64 (*.f64 y (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z)) (*.f64 y 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
| 1.0ms | y | @ | inf | (/.f64 (+.f64 (*.f64 y (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z)) (*.f64 y 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
| 1.0ms | y | @ | -inf | (/.f64 (+.f64 (*.f64 y (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z)) (*.f64 y 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
| 1.0ms | z | @ | -inf | (/.f64 (+.f64 (*.f64 y (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z)) (*.f64 y 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
| 1× | batch-egg-rewrite |
| 725× | fma-def_binary64 |
| 387× | fma-neg_binary64 |
| 371× | expm1-udef_binary64 |
| 371× | log1p-udef_binary64 |
| 211× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 43 |
| 1 | 416 | 37 |
| 2 | 5714 | 37 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (*.f64 y (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z)) (*.f64 y 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
(*.f64 y (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z)) |
(*.f64 692910599291889/10000000000000000 z) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (*.f64 y (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (*.f64 y (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (*.f64 y (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (*.f64 y (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (*.f64 y (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (*.f64 y (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 z) (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (*.f64 y (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (*.f64 y (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (*.f64 y (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (*.f64 y (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (*.f64 y (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 y (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)))) 1)))))) |
((#(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 (*.f64 (*.f64 z z) 480125098611044764748221188321/100000000000000000000000000000000))))) (#(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)))))) |
| 1× | egg-herbie |
| 782× | fma-neg_binary64 |
| 500× | fma-def_binary64 |
| 458× | sub-neg_binary64 |
| 271× | associate-+l+_binary64 |
| 264× | cancel-sign-sub-inv_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 119 | 977 |
| 1 | 369 | 850 |
| 2 | 1367 | 727 |
| 3 | 5962 | 646 |
| 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))) |
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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 307332350656623/625000000000000 (*.f64 y z)) |
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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 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2)))) |
| Outputs |
|---|
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(fma.f64 y 692910599291889/10000000000000000 (*.f64 (/.f64 y z) 751220861604756070699018739433/10000000000000000000000000000000)) |
(-.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 (fma.f64 307332350656623/625000000000000 (/.f64 y z) (fma.f64 11167812716741/40000000000000 (/.f64 y (*.f64 z z)) (*.f64 y 692910599291889/10000000000000000))) (fma.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z) (fma.f64 6012459259764103/1000000000000000 (/.f64 (*.f64 y 751220861604756070699018739433/10000000000000000000000000000000) (*.f64 z z)) (*.f64 (/.f64 y (*.f64 z z)) 72546523146905574025723165383/312500000000000000000000000000)))) |
(-.f64 (fma.f64 307332350656623/625000000000000 (/.f64 y z) (fma.f64 y 692910599291889/10000000000000000 (*.f64 11167812716741/40000000000000 (/.f64 y (*.f64 z z))))) (fma.f64 (/.f64 y z) 4166096748901211929300981260567/10000000000000000000000000000000 (fma.f64 (/.f64 y (*.f64 z z)) 72546523146905574025723165383/312500000000000000000000000000 (/.f64 (*.f64 y 4516684825483483349725552750007781576003973599/10000000000000000000000000000000000000000000000) (*.f64 z z))))) |
(-.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 11167812716741/40000000000000 (/.f64 y (*.f64 z z)) (/.f64 (*.f64 y 751220861604756070699018739433/10000000000000000000000000000000) z))) (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 (*.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 14702013702633488474276834617/312500000000000000000000000000) (*.f64 y 4516684825483483349725552750007781576003973599/10000000000000000000000000000000000000000000000)) (pow.f64 z 3)) (*.f64 y 692910599291889/10000000000000000)))) (/.f64 y (/.f64 z -751220861604756070699018739433/10000000000000000000000000000000))) (fma.f64 (/.f64 y (*.f64 z z)) 72546523146905574025723165383/312500000000000000000000000000 (/.f64 (*.f64 y 4516684825483483349725552750007781576003973599/10000000000000000000000000000000000000000000000) (*.f64 z z)))) |
(+.f64 (fma.f64 11167812716741/40000000000000 (/.f64 y (*.f64 z z)) (fma.f64 y 692910599291889/10000000000000000 (*.f64 -6012459259764103/1000000000000000 (/.f64 (*.f64 y -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000) (pow.f64 z 3))))) (+.f64 (/.f64 (*.f64 y -78651505231038147067106019988416220964353551/312500000000000000000000000000000000000000000) (pow.f64 z 3)) (+.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 (*.f64 y -78651505231038147067106019988416220964353551/312500000000000000000000000000000000000000000) (pow.f64 z 3)) (fma.f64 -6012459259764103/1000000000000000 (/.f64 (*.f64 y -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000) (pow.f64 z 3)) (*.f64 y 692910599291889/10000000000000000))) (/.f64 (*.f64 y -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000) (*.f64 z z)))) |
(*.f64 307332350656623/625000000000000 (*.f64 y z)) |
(*.f64 y (*.f64 307332350656623/625000000000000 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 y (*.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000))) |
(*.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) (*.f64 y 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 y (*.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000))) |
(*.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) (*.f64 y 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 y (*.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000))) |
(*.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) (*.f64 y z)) |
(*.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 y (*.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000))) |
(*.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) (*.f64 y 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 y (*.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000))) |
(*.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) (*.f64 y 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 y (*.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000))) |
(*.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) (*.f64 y z)) |
(*.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 y (*.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000))) |
(*.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) (*.f64 y 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 y (*.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000))) |
(*.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) (*.f64 y 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 y (*.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000))) |
(*.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) (*.f64 y z)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) |
| ✓ | 40.6b | (cbrt.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) |
Compiled 29 to 22 computations (24.1% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | y | @ | 0 | (cbrt.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) |
| 4.0ms | y | @ | -inf | (cbrt.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) |
| 2.0ms | y | @ | inf | (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) |
| 1.0ms | y | @ | 0 | (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) |
| 1.0ms | y | @ | inf | (cbrt.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) |
| 1× | batch-egg-rewrite |
| 580× | pow1_binary64 |
| 548× | add-log-exp_binary64 |
| 548× | log1p-expm1-u_binary64 |
| 548× | expm1-log1p-u_binary64 |
| 535× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 149 | 13 |
| 2 | 1531 | 13 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) |
(*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (cbrt.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (cbrt.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (cbrt.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (cbrt.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (cbrt.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (cbrt.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))) (pow.f64 (cbrt.f64 (*.f64 y (cbrt.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (cbrt.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))) 2) (cbrt.f64 (*.f64 y (cbrt.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (cbrt.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (cbrt.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))) (sqrt.f64 (*.f64 y (cbrt.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 y (cbrt.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 y y) (cbrt.f64 473640450572804041657586118293877766105652046073605499602920140357027538328720947265625/1414282807163193834660448409062029194989921721778260046273197845336475556622027639018850615296)) 1/3) (cbrt.f64 (*.f64 y (cbrt.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sqrt.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 y 3/2)) 1/3) (pow.f64 (*.f64 (sqrt.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 y 3/2)) 1/3))))) (#(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 pow.f64 (*.f64 y (cbrt.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (cbrt.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (cbrt.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 y y) (cbrt.f64 473640450572804041657586118293877766105652046073605499602920140357027538328720947265625/1414282807163193834660448409062029194989921721778260046273197845336475556622027639018850615296)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (cbrt.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (cbrt.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (cbrt.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (cbrt.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (cbrt.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 y 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 473640450572804041657586118293877766105652046073605499602920140357027538328720947265625/1414282807163193834660448409062029194989921721778260046273197845336475556622027639018850615296 (pow.f64 y 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))))))) |
| 1× | egg-herbie |
| 1274× | sqr-pow_binary64 |
| 666× | pow-sqr_binary64 |
| 529× | cube-prod_binary64 |
| 474× | fabs-mul_binary64 |
| 442× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 164 |
| 1 | 28 | 164 |
| 2 | 58 | 164 |
| 3 | 86 | 164 |
| 4 | 147 | 164 |
| 5 | 379 | 164 |
| 6 | 1272 | 164 |
| 7 | 1970 | 164 |
| 8 | 2089 | 164 |
| 9 | 2482 | 164 |
| 10 | 2640 | 164 |
| 11 | 2883 | 164 |
| 12 | 3205 | 164 |
| 13 | 3628 | 164 |
| 14 | 4131 | 164 |
| 15 | 4731 | 164 |
| 16 | 5451 | 164 |
| 17 | 5774 | 164 |
| 18 | 6060 | 164 |
| 19 | 6284 | 164 |
| 20 | 6464 | 164 |
| 21 | 6548 | 164 |
| 22 | 7488 | 164 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (cbrt.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) |
(*.f64 y (cbrt.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) |
(*.f64 y (cbrt.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) |
(*.f64 y (cbrt.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) |
(*.f64 y (cbrt.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) |
(*.f64 y (cbrt.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) |
(*.f64 y (cbrt.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) |
(*.f64 y (cbrt.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) |
(*.f64 -1 (*.f64 y (cbrt.f64 -21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))) |
(*.f64 -1 (*.f64 y (cbrt.f64 -21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))) |
(*.f64 -1 (*.f64 y (cbrt.f64 -21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))) |
(*.f64 -1 (*.f64 y (cbrt.f64 -21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))) |
(*.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3)) |
(*.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3)) |
(*.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3)) |
(*.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3)) |
(*.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3)) |
(*.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3)) |
(*.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3)) |
(*.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3)) |
(*.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3)) |
(*.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3)) |
(*.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3)) |
(*.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3)) |
| Outputs |
|---|
(*.f64 y (cbrt.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) |
(*.f64 y (cbrt.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) |
(*.f64 y (cbrt.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) |
(*.f64 y (cbrt.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) |
(*.f64 y (cbrt.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) |
(*.f64 y (cbrt.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) |
(*.f64 y (cbrt.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) |
(*.f64 y (cbrt.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) |
(*.f64 -1 (*.f64 y (cbrt.f64 -21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))) |
(neg.f64 (*.f64 y (cbrt.f64 -21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))) |
(*.f64 y (neg.f64 (cbrt.f64 -21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))) |
(*.f64 (cbrt.f64 -21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (neg.f64 y)) |
(*.f64 -1 (*.f64 y (cbrt.f64 -21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))) |
(neg.f64 (*.f64 y (cbrt.f64 -21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))) |
(*.f64 y (neg.f64 (cbrt.f64 -21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))) |
(*.f64 (cbrt.f64 -21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (neg.f64 y)) |
(*.f64 -1 (*.f64 y (cbrt.f64 -21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))) |
(neg.f64 (*.f64 y (cbrt.f64 -21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))) |
(*.f64 y (neg.f64 (cbrt.f64 -21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))) |
(*.f64 (cbrt.f64 -21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (neg.f64 y)) |
(*.f64 -1 (*.f64 y (cbrt.f64 -21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))) |
(neg.f64 (*.f64 y (cbrt.f64 -21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))) |
(*.f64 y (neg.f64 (cbrt.f64 -21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))) |
(*.f64 (cbrt.f64 -21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (neg.f64 y)) |
(*.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3)) |
(*.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3)) |
(*.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3)) |
(*.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3)) |
(*.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3)) |
(*.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3)) |
(*.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3)) |
(*.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3)) |
(*.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3)) |
(*.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3)) |
(*.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3)) |
(*.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 y 3)) |
Compiled 7620 to 5508 computations (27.7% saved)
16 alts after pruning (11 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 431 | 2 | 433 |
| Fresh | 2 | 9 | 11 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 5 | 7 |
| Total | 436 | 16 | 452 |
| Status | Error | Program |
|---|---|---|
| ✓ | 12.6b | (+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
| 29.2b | x | |
| ▶ | 34.6b | (+.f64 x (/.f64 (*.f64 y (*.f64 z (*.f64 692910599291889/10000000000000000 z))) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
| 12.6b | (+.f64 x (pow.f64 (/.f64 10000000000000000/692910599291889 y) -1)) | |
| ✓ | 23.9b | (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) |
| ▶ | 11.5b | (+.f64 x (/.f64 y 3350343815022304/279195317918525)) |
| 18.1b | (+.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))) | |
| ✓ | 19.4b | (+.f64 x (/.f64 (+.f64 (*.f64 y (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z)) (*.f64 y 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
| ✓ | 27.1b | (+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z (+.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280)))))))) |
| 37.3b | (+.f64 (pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) x) | |
| ▶ | 20.8b | (+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
| ✓ | 11.5b | (+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
| 44.2b | (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) | |
| ▶ | 25.9b | (+.f64 (/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 692910599291889/10000000000000000 y)) (+.f64 1 (*.f64 692910599291889/10000000000000000 y))) 1) (+.f64 (+.f64 1 (*.f64 692910599291889/10000000000000000 y)) 1)) x) |
| 24.8b | (+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)))))) | |
| ▶ | 28.2b | (+.f64 x (/.f64 (*.f64 (-.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2)) y) (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) |
Compiled 410 to 314 computations (23.4% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 y 3350343815022304/279195317918525) |
Compiled 14 to 9 computations (35.7% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (/.f64 y 3350343815022304/279195317918525) |
| 0.0ms | y | @ | 0 | (/.f64 y 3350343815022304/279195317918525) |
| 0.0ms | y | @ | -inf | (/.f64 y 3350343815022304/279195317918525) |
| 1× | batch-egg-rewrite |
| 397× | pow1_binary64 |
| 396× | add-sqr-sqrt_binary64 |
| 380× | *-un-lft-identity_binary64 |
| 377× | add-log-exp_binary64 |
| 377× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 4 |
| 1 | 88 | 4 |
| 2 | 1023 | 4 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y 3350343815022304/279195317918525) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y 279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) 279195317918525/3350343815022304)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) 279195317918525/3350343815022304))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) 279195317918525/3350343815022304))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) 279195317918525/3350343815022304))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y 279195317918525/3350343815022304)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y 279195317918525/3350343815022304)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (pow.f64 (cbrt.f64 279195317918525/3350343815022304) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (pow.f64 (sqrt.f64 279195317918525/3350343815022304) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 279195317918525/3350343815022304) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y 279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) 279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) (pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2) (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) 279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) -279195317918525/3350343815022304)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 279195317918525/3350343815022304 y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 279195317918525/3350343815022304 (pow.f64 (/.f64 1 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 y 279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416) y) 1/3) (cbrt.f64 279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416) (pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416) (sqrt.f64 (*.f64 y 279195317918525/3350343815022304))) 1/3) (cbrt.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304))) 2) 3) (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 3350343815022304/279195317918525 y)) 2) -1) (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y 279195317918525/3350343815022304) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416) 1/2)))) (#(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 pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3350343815022304/279195317918525 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 3350343815022304/279195317918525 y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y -3350343815022304/279195317918525))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) 279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y 279195317918525/3350343815022304)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y 279195317918525/3350343815022304)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y 279195317918525/3350343815022304))))))) |
| 1× | egg-herbie |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 48 |
| 1 | 5 | 48 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
| Outputs |
|---|
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
(*.f64 279195317918525/3350343815022304 y) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
| ✓ | 0.0b | (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)) |
| ✓ | 0.2b | (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))) |
| ✓ | 0.3b | (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080) |
Compiled 32 to 22 computations (31.3% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | -inf | (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080) |
| 2.0ms | z | @ | 0 | (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))) |
| 1.0ms | y | @ | 0 | (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))) |
| 1.0ms | y | @ | inf | (+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
| 1.0ms | y | @ | inf | (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))) |
| 1× | batch-egg-rewrite |
| 528× | log-prod_binary64 |
| 386× | fma-def_binary64 |
| 368× | pow-prod-down_binary64 |
| 297× | pow2_binary64 |
| 204× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 34 |
| 1 | 226 | 26 |
| 2 | 3147 | 26 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 z -155900051080628738716045985239/56124018394291031809500087342080) |
(*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))) |
(+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)) |
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/3149905440722718088495328711377149875567937175795148638938726400) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 z z) 24304825926942649962295480741151107170296249740890205887121/3149905440722718088495328711377149875567937175795148638938726400))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)) 3) 1/3)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 279195317918525/3350343815022304) (*.f64 z (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 y)) (*.f64 y 279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (fma.f64 z -155900051080628738716045985239/56124018394291031809500087342080 279195317918525/3350343815022304)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y 279195317918525/3350343815022304) 1) (*.f64 (*.f64 z (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 z -155900051080628738716045985239/56124018394291031809500087342080 279195317918525/3350343815022304))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 z 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| 1× | egg-herbie |
| 28× | fma-def_binary64 |
| 7× | *-commutative_binary64 |
| 6× | +-commutative_binary64 |
| 2× | associate-+r+_binary64 |
| 2× | associate-+l+_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 697 |
| 1 | 36 | 577 |
| 2 | 59 | 577 |
| 3 | 71 | 577 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) |
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) |
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) |
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) |
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) |
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) |
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) |
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) |
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) |
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) |
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) |
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) |
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) |
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) |
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) |
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) |
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) |
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) |
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) |
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) |
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) |
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) |
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) |
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) |
(*.f64 279195317918525/3350343815022304 y) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) |
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) |
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) |
279195317918525/3350343815022304 |
(+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) |
(+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) |
(+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) |
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) |
(+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) |
(+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) |
(+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) |
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) |
(+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) |
(+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) |
(+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) |
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) |
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x) |
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x) |
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x) |
x |
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x) |
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x) |
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x) |
x |
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x) |
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x) |
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x) |
x |
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x) |
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x) |
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x) |
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) |
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x) |
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x) |
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x) |
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) |
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x) |
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x) |
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x)) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x)) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x)) |
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x)) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x)) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x)) |
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x)) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x)) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x)) |
| Outputs |
|---|
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) |
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) |
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) |
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) |
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) |
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) |
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) |
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) |
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) |
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) |
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) |
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) |
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) |
(*.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y) |
(*.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y) |
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) |
(*.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y) |
(*.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y) |
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) |
(*.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y) |
(*.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y) |
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) |
(*.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y) |
(*.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y) |
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) |
(*.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y) |
(*.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y) |
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) |
(*.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y) |
(*.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y) |
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) |
(*.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y) |
(*.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y) |
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) |
(*.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y) |
(*.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y) |
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) |
(*.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y) |
(*.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y) |
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) |
(*.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y) |
(*.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y) |
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) |
(*.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y) |
(*.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y) |
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) |
(*.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y) |
(*.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y) |
(*.f64 279195317918525/3350343815022304 y) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) |
(*.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y) |
(*.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) |
(*.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y) |
(*.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) |
(*.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y) |
(*.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y) |
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) |
(*.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 y) z) |
(*.f64 z (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 y)) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) |
(*.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y) |
(*.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) |
(*.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y) |
(*.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) |
(*.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y) |
(*.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y) |
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) |
(*.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 y) z) |
(*.f64 z (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 y)) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) |
(*.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y) |
(*.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) |
(*.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y) |
(*.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))) |
(*.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y) |
(*.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y) |
279195317918525/3350343815022304 |
(+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) |
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) |
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) |
(+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) |
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) |
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) |
(+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) |
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) |
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) |
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) |
(+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) |
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) |
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) |
(+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) |
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) |
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) |
(+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) |
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) |
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) |
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) |
(+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) |
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) |
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) |
(+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) |
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) |
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) |
(+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) |
(+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) |
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) |
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) |
(*.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y) |
(*.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y) |
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x) |
(fma.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y x) |
(fma.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y x) |
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x) |
(fma.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y x) |
(fma.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y x) |
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x) |
(fma.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y x) |
(fma.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y x) |
x |
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x) |
(fma.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y x) |
(fma.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y x) |
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x) |
(fma.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y x) |
(fma.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y x) |
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x) |
(fma.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y x) |
(fma.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y x) |
x |
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x) |
(fma.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y x) |
(fma.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y x) |
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x) |
(fma.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y x) |
(fma.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y x) |
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x) |
(fma.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y x) |
(fma.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y x) |
x |
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x) |
(fma.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y x) |
(fma.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y x) |
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x) |
(fma.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y x) |
(fma.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y x) |
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x) |
(fma.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y x) |
(fma.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y x) |
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) |
(*.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y) |
(*.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y) |
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x) |
(fma.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y x) |
(fma.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y x) |
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x) |
(fma.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y x) |
(fma.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y x) |
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x) |
(fma.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y x) |
(fma.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y x) |
(*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) |
(*.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y) |
(*.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y) |
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x) |
(fma.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y x) |
(fma.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y x) |
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x) |
(fma.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y x) |
(fma.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y x) |
(+.f64 (*.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y) x) |
(fma.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y x) |
(fma.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(fma.f64 279195317918525/3350343815022304 y x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x)) |
(fma.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y x) |
(fma.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x)) |
(fma.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y x) |
(fma.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x)) |
(fma.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y x) |
(fma.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y x) |
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) |
(*.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 y) z) |
(*.f64 z (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 y)) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x)) |
(fma.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y x) |
(fma.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x)) |
(fma.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y x) |
(fma.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x)) |
(fma.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y x) |
(fma.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y x) |
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) |
(*.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 y) z) |
(*.f64 z (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 y)) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x)) |
(fma.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y x) |
(fma.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x)) |
(fma.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y x) |
(fma.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x)) |
(fma.f64 (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) 279195317918525/3350343815022304) y x) |
(fma.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) y x) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) | |
| 0.5b | (*.f64 692910599291889/10000000000000000 z) | |
| ✓ | 4.4b | (*.f64 y (*.f64 z (*.f64 692910599291889/10000000000000000 z))) |
| ✓ | 18.7b | (/.f64 (*.f64 y (*.f64 z (*.f64 692910599291889/10000000000000000 z))) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
Compiled 71 to 46 computations (35.2% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | (/.f64 (*.f64 y (*.f64 z (*.f64 692910599291889/10000000000000000 z))) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
| 1.0ms | z | @ | inf | (/.f64 (*.f64 y (*.f64 z (*.f64 692910599291889/10000000000000000 z))) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
| 1.0ms | z | @ | 0 | (/.f64 (*.f64 y (*.f64 z (*.f64 692910599291889/10000000000000000 z))) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
| 1.0ms | z | @ | 0 | (*.f64 y (*.f64 z (*.f64 692910599291889/10000000000000000 z))) |
| 1.0ms | y | @ | inf | (*.f64 y (*.f64 z (*.f64 692910599291889/10000000000000000 z))) |
| 1× | batch-egg-rewrite |
| 765× | log-prod_binary64 |
| 267× | pow1/3_binary64 |
| 263× | expm1-udef_binary64 |
| 263× | log1p-udef_binary64 |
| 257× | prod-diff_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 30 |
| 1 | 294 | 30 |
| 2 | 3987 | 30 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y (*.f64 z (*.f64 692910599291889/10000000000000000 z))) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
(*.f64 y (*.f64 z (*.f64 692910599291889/10000000000000000 z))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 692910599291889/10000000000000000 (*.f64 z z)) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 692910599291889/10000000000000000 (*.f64 z z)) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)))) (cbrt.f64 (exp.f64 (/.f64 (*.f64 692910599291889/10000000000000000 (*.f64 z z)) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 692910599291889/10000000000000000 (*.f64 z z)) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 692910599291889/10000000000000000 (*.f64 z z)) (/.f64 (fma.f64 z (+.f64 z 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| 1× | egg-herbie |
| 612× | associate-/r/_binary64 |
| 448× | *-commutative_binary64 |
| 411× | fma-def_binary64 |
| 381× | times-frac_binary64 |
| 363× | distribute-rgt-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 786 |
| 1 | 217 | 753 |
| 2 | 724 | 718 |
| 3 | 2530 | 688 |
| 4 | 6336 | 688 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 692910599291889/10000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) |
(*.f64 692910599291889/10000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) |
(*.f64 692910599291889/10000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) |
(*.f64 692910599291889/10000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) |
(*.f64 692910599291889/10000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) |
(*.f64 692910599291889/10000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) |
(*.f64 692910599291889/10000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) |
(*.f64 692910599291889/10000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) |
(*.f64 692910599291889/10000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) |
(*.f64 692910599291889/10000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) |
(*.f64 692910599291889/10000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) |
(*.f64 692910599291889/10000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) |
(*.f64 692910599291889/33503438150223040 (*.f64 y (pow.f64 z 2))) |
(+.f64 (*.f64 692910599291889/33503438150223040 (*.f64 y (pow.f64 z 2))) (*.f64 -4166096748901211929300981260567/112248036788582063619000174684160 (*.f64 y (pow.f64 z 3)))) |
(+.f64 (*.f64 692910599291889/33503438150223040 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 -4166096748901211929300981260567/112248036788582063619000174684160 (*.f64 y (pow.f64 z 3))) (*.f64 -692910599291889/10000000000000000 (*.f64 (pow.f64 z 4) (+.f64 (*.f64 976562500000000000000000000/10961722342634967150292985809 y) (*.f64 -1103200267038668987913305889728057861328125/1147673082894964476557575335949564252827623 y)))))) |
(+.f64 (*.f64 692910599291889/33503438150223040 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 -692910599291889/10000000000000000 (*.f64 (+.f64 (*.f64 -6012459259764103/3350343815022304 (+.f64 (*.f64 976562500000000000000000000/10961722342634967150292985809 y) (*.f64 -1103200267038668987913305889728057861328125/1147673082894964476557575335949564252827623 y))) (*.f64 -183485695183230682373046875000000000000000/1147673082894964476557575335949564252827623 y)) (pow.f64 z 5))) (+.f64 (*.f64 -4166096748901211929300981260567/112248036788582063619000174684160 (*.f64 y (pow.f64 z 3))) (*.f64 -692910599291889/10000000000000000 (*.f64 (pow.f64 z 4) (+.f64 (*.f64 976562500000000000000000000/10961722342634967150292985809 y) (*.f64 -1103200267038668987913305889728057861328125/1147673082894964476557575335949564252827623 y))))))) |
(*.f64 692910599291889/10000000000000000 y) |
(+.f64 (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z)) (*.f64 692910599291889/10000000000000000 y)) |
(+.f64 (*.f64 -692910599291889/10000000000000000 (/.f64 (+.f64 (*.f64 -36149666350323105395943207394609/1000000000000000000000000000000 y) (*.f64 104698244219447/31250000000000 y)) (pow.f64 z 2))) (+.f64 (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z)) (*.f64 692910599291889/10000000000000000 y))) |
(+.f64 (*.f64 -692910599291889/10000000000000000 (/.f64 (+.f64 (*.f64 -629493927938257585512585111041/31250000000000000000000000000 y) (*.f64 -6012459259764103/1000000000000000 (+.f64 (*.f64 -36149666350323105395943207394609/1000000000000000000000000000000 y) (*.f64 104698244219447/31250000000000 y)))) (pow.f64 z 3))) (+.f64 (*.f64 -692910599291889/10000000000000000 (/.f64 (+.f64 (*.f64 -36149666350323105395943207394609/1000000000000000000000000000000 y) (*.f64 104698244219447/31250000000000 y)) (pow.f64 z 2))) (+.f64 (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z)) (*.f64 692910599291889/10000000000000000 y)))) |
(*.f64 692910599291889/10000000000000000 y) |
(+.f64 (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z)) (*.f64 692910599291889/10000000000000000 y)) |
(+.f64 (*.f64 -692910599291889/10000000000000000 (/.f64 (+.f64 (*.f64 -36149666350323105395943207394609/1000000000000000000000000000000 y) (*.f64 104698244219447/31250000000000 y)) (pow.f64 z 2))) (+.f64 (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z)) (*.f64 692910599291889/10000000000000000 y))) |
(+.f64 (*.f64 -692910599291889/10000000000000000 (/.f64 (+.f64 (*.f64 -36149666350323105395943207394609/1000000000000000000000000000000 y) (*.f64 104698244219447/31250000000000 y)) (pow.f64 z 2))) (+.f64 (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z)) (+.f64 (*.f64 692910599291889/10000000000000000 (/.f64 (+.f64 (*.f64 6012459259764103/1000000000000000 (+.f64 (*.f64 -36149666350323105395943207394609/1000000000000000000000000000000 y) (*.f64 104698244219447/31250000000000 y))) (*.f64 629493927938257585512585111041/31250000000000000000000000000 y)) (pow.f64 z 3))) (*.f64 692910599291889/10000000000000000 y)))) |
(*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))) |
(*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))) |
(*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))) |
(*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))) |
(*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))) |
(*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))) |
(*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))) |
(*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))) |
(*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))) |
(*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))) |
(*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))) |
(*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))) |
(*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))) |
(*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))) |
(*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))) |
(*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))) |
(*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))) |
(*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))) |
(*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))) |
(*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))) |
(*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))) |
(*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))) |
(*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))) |
(*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))) |
| Outputs |
|---|
(*.f64 692910599291889/10000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) |
(/.f64 (*.f64 692910599291889/10000000000000000 (*.f64 y (*.f64 z z))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) |
(*.f64 692910599291889/10000000000000000 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (*.f64 z z))) |
(/.f64 692910599291889/10000000000000000 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 y (*.f64 z z)))) |
(*.f64 z (/.f64 (*.f64 692910599291889/10000000000000000 y) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) z))) |
(*.f64 z (*.f64 (*.f64 z (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 692910599291889/10000000000000000)) |
(*.f64 692910599291889/10000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) |
(/.f64 (*.f64 692910599291889/10000000000000000 (*.f64 y (*.f64 z z))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) |
(*.f64 692910599291889/10000000000000000 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (*.f64 z z))) |
(/.f64 692910599291889/10000000000000000 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 y (*.f64 z z)))) |
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(/.f64 (*.f64 692910599291889/10000000000000000 (*.f64 y (*.f64 z z))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) |
(*.f64 692910599291889/10000000000000000 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (*.f64 z z))) |
(/.f64 692910599291889/10000000000000000 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 y (*.f64 z z)))) |
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(/.f64 (*.f64 692910599291889/10000000000000000 (*.f64 y (*.f64 z z))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) |
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(/.f64 692910599291889/10000000000000000 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 y (*.f64 z z)))) |
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(/.f64 692910599291889/10000000000000000 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 y (*.f64 z z)))) |
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(*.f64 692910599291889/10000000000000000 (/.f64 (*.f64 y (pow.f64 z 2)) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) |
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(/.f64 692910599291889/10000000000000000 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 y (*.f64 z z)))) |
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(*.f64 z (*.f64 (*.f64 z (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 692910599291889/10000000000000000)) |
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(/.f64 692910599291889/10000000000000000 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 y (*.f64 z z)))) |
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(/.f64 692910599291889/10000000000000000 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 y (*.f64 z z)))) |
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(*.f64 z (*.f64 (*.f64 z (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 692910599291889/10000000000000000)) |
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(*.f64 (*.f64 y (*.f64 z z)) 692910599291889/33503438150223040) |
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(*.f64 y (*.f64 z (*.f64 z 692910599291889/33503438150223040))) |
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(*.f64 y (*.f64 692910599291889/10000000000000000 (*.f64 z z))) |
(*.f64 z (*.f64 z (*.f64 692910599291889/10000000000000000 y))) |
(*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))) |
(*.f64 692910599291889/10000000000000000 (*.f64 y (*.f64 z z))) |
(*.f64 y (*.f64 692910599291889/10000000000000000 (*.f64 z z))) |
(*.f64 z (*.f64 z (*.f64 692910599291889/10000000000000000 y))) |
(*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))) |
(*.f64 692910599291889/10000000000000000 (*.f64 y (*.f64 z z))) |
(*.f64 y (*.f64 692910599291889/10000000000000000 (*.f64 z z))) |
(*.f64 z (*.f64 z (*.f64 692910599291889/10000000000000000 y))) |
(*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))) |
(*.f64 692910599291889/10000000000000000 (*.f64 y (*.f64 z z))) |
(*.f64 y (*.f64 692910599291889/10000000000000000 (*.f64 z z))) |
(*.f64 z (*.f64 z (*.f64 692910599291889/10000000000000000 y))) |
(*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))) |
(*.f64 692910599291889/10000000000000000 (*.f64 y (*.f64 z z))) |
(*.f64 y (*.f64 692910599291889/10000000000000000 (*.f64 z z))) |
(*.f64 z (*.f64 z (*.f64 692910599291889/10000000000000000 y))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (+.f64 1 (*.f64 692910599291889/10000000000000000 y)) (+.f64 1 (*.f64 692910599291889/10000000000000000 y))) |
| 0.5b | (*.f64 692910599291889/10000000000000000 y) | |
| ✓ | 3.0b | (-.f64 (*.f64 (+.f64 1 (*.f64 692910599291889/10000000000000000 y)) (+.f64 1 (*.f64 692910599291889/10000000000000000 y))) 1) |
| ✓ | 14.4b | (/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 692910599291889/10000000000000000 y)) (+.f64 1 (*.f64 692910599291889/10000000000000000 y))) 1) (+.f64 (+.f64 1 (*.f64 692910599291889/10000000000000000 y)) 1)) |
Compiled 90 to 74 computations (17.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (-.f64 (*.f64 (+.f64 1 (*.f64 692910599291889/10000000000000000 y)) (+.f64 1 (*.f64 692910599291889/10000000000000000 y))) 1) |
| 1.0ms | y | @ | 0 | (/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 692910599291889/10000000000000000 y)) (+.f64 1 (*.f64 692910599291889/10000000000000000 y))) 1) (+.f64 (+.f64 1 (*.f64 692910599291889/10000000000000000 y)) 1)) |
| 1.0ms | y | @ | inf | (/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 692910599291889/10000000000000000 y)) (+.f64 1 (*.f64 692910599291889/10000000000000000 y))) 1) (+.f64 (+.f64 1 (*.f64 692910599291889/10000000000000000 y)) 1)) |
| 1.0ms | y | @ | -inf | (/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 692910599291889/10000000000000000 y)) (+.f64 1 (*.f64 692910599291889/10000000000000000 y))) 1) (+.f64 (+.f64 1 (*.f64 692910599291889/10000000000000000 y)) 1)) |
| 0.0ms | y | @ | 0 | (-.f64 (*.f64 (+.f64 1 (*.f64 692910599291889/10000000000000000 y)) (+.f64 1 (*.f64 692910599291889/10000000000000000 y))) 1) |
| 1× | batch-egg-rewrite |
| 792× | fma-def_binary64 |
| 501× | log-prod_binary64 |
| 318× | fma-neg_binary64 |
| 261× | pow2_binary64 |
| 180× | log-div_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 48 |
| 1 | 237 | 23 |
| 2 | 3633 | 23 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 692910599291889/10000000000000000 y)) (+.f64 1 (*.f64 692910599291889/10000000000000000 y))) 1) (+.f64 (+.f64 1 (*.f64 692910599291889/10000000000000000 y)) 1)) |
(-.f64 (*.f64 (+.f64 1 (*.f64 692910599291889/10000000000000000 y)) (+.f64 1 (*.f64 692910599291889/10000000000000000 y))) 1) |
(*.f64 (+.f64 1 (*.f64 692910599291889/10000000000000000 y)) (+.f64 1 (*.f64 692910599291889/10000000000000000 y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 692910599291889/10000000000000000 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 692910599291889/10000000000000000 y 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 692910599291889/10000000000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (fma.f64 692910599291889/10000000000000000 y 1) 2) (fma.f64 692910599291889/10000000000000000 y 2)) (neg.f64 (/.f64 1 (fma.f64 692910599291889/10000000000000000 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 692910599291889/10000000000000000 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 692910599291889/10000000000000000) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 692910599291889/10000000000000000) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 692910599291889/10000000000000000) y))) (log.f64 (sqrt.f64 (pow.f64 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| 1× | egg-herbie |
| 778× | sqr-pow_binary64 |
| 603× | associate-*l*_binary64 |
| 513× | fma-def_binary64 |
| 490× | cube-prod_binary64 |
| 482× | fabs-mul_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 293 |
| 1 | 30 | 279 |
| 2 | 52 | 268 |
| 3 | 100 | 228 |
| 4 | 225 | 228 |
| 5 | 606 | 228 |
| 6 | 2002 | 228 |
| 7 | 3350 | 228 |
| 8 | 3556 | 228 |
| 9 | 3769 | 228 |
| 10 | 3989 | 228 |
| 11 | 4304 | 228 |
| 12 | 4704 | 228 |
| 13 | 5215 | 228 |
| 14 | 5782 | 228 |
| 15 | 6472 | 228 |
| 16 | 7305 | 228 |
| 17 | 7701 | 228 |
| 18 | 7991 | 228 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 692910599291889/5000000000000000 y) |
(+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (*.f64 692910599291889/5000000000000000 y)) |
(+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (*.f64 692910599291889/5000000000000000 y)) |
(+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (*.f64 692910599291889/5000000000000000 y)) |
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) |
(+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (*.f64 692910599291889/5000000000000000 y)) |
(+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (*.f64 692910599291889/5000000000000000 y)) |
(+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (*.f64 692910599291889/5000000000000000 y)) |
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) |
(+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (*.f64 692910599291889/5000000000000000 y)) |
(+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (*.f64 692910599291889/5000000000000000 y)) |
(+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (*.f64 692910599291889/5000000000000000 y)) |
1 |
(+.f64 1 (*.f64 692910599291889/5000000000000000 y)) |
(+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (+.f64 1 (*.f64 692910599291889/5000000000000000 y))) |
(+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (+.f64 1 (*.f64 692910599291889/5000000000000000 y))) |
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) |
(+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (*.f64 692910599291889/5000000000000000 y)) |
(+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (+.f64 1 (*.f64 692910599291889/5000000000000000 y))) |
(+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (+.f64 1 (*.f64 692910599291889/5000000000000000 y))) |
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) |
(+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (*.f64 692910599291889/5000000000000000 y)) |
(+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (+.f64 1 (*.f64 692910599291889/5000000000000000 y))) |
(+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (+.f64 1 (*.f64 692910599291889/5000000000000000 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) |
(*.f64 692910599291889/5000000000000000 y) |
(*.f64 y 692910599291889/5000000000000000) |
(+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (*.f64 692910599291889/5000000000000000 y)) |
(fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (*.f64 y 692910599291889/5000000000000000)) |
(*.f64 y (+.f64 692910599291889/5000000000000000 (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))) |
(*.f64 y (fma.f64 y 480125098611044764748221188321/100000000000000000000000000000000 692910599291889/5000000000000000)) |
(+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (*.f64 692910599291889/5000000000000000 y)) |
(fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (*.f64 y 692910599291889/5000000000000000)) |
(*.f64 y (+.f64 692910599291889/5000000000000000 (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))) |
(*.f64 y (fma.f64 y 480125098611044764748221188321/100000000000000000000000000000000 692910599291889/5000000000000000)) |
(+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (*.f64 692910599291889/5000000000000000 y)) |
(fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (*.f64 y 692910599291889/5000000000000000)) |
(*.f64 y (+.f64 692910599291889/5000000000000000 (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))) |
(*.f64 y (fma.f64 y 480125098611044764748221188321/100000000000000000000000000000000 692910599291889/5000000000000000)) |
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) |
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) |
(*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) |
(+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (*.f64 692910599291889/5000000000000000 y)) |
(fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (*.f64 y 692910599291889/5000000000000000)) |
(*.f64 y (+.f64 692910599291889/5000000000000000 (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))) |
(*.f64 y (fma.f64 y 480125098611044764748221188321/100000000000000000000000000000000 692910599291889/5000000000000000)) |
(+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (*.f64 692910599291889/5000000000000000 y)) |
(fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (*.f64 y 692910599291889/5000000000000000)) |
(*.f64 y (+.f64 692910599291889/5000000000000000 (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))) |
(*.f64 y (fma.f64 y 480125098611044764748221188321/100000000000000000000000000000000 692910599291889/5000000000000000)) |
(+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (*.f64 692910599291889/5000000000000000 y)) |
(fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (*.f64 y 692910599291889/5000000000000000)) |
(*.f64 y (+.f64 692910599291889/5000000000000000 (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))) |
(*.f64 y (fma.f64 y 480125098611044764748221188321/100000000000000000000000000000000 692910599291889/5000000000000000)) |
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) |
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) |
(*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) |
(+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (*.f64 692910599291889/5000000000000000 y)) |
(fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (*.f64 y 692910599291889/5000000000000000)) |
(*.f64 y (+.f64 692910599291889/5000000000000000 (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))) |
(*.f64 y (fma.f64 y 480125098611044764748221188321/100000000000000000000000000000000 692910599291889/5000000000000000)) |
(+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (*.f64 692910599291889/5000000000000000 y)) |
(fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (*.f64 y 692910599291889/5000000000000000)) |
(*.f64 y (+.f64 692910599291889/5000000000000000 (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))) |
(*.f64 y (fma.f64 y 480125098611044764748221188321/100000000000000000000000000000000 692910599291889/5000000000000000)) |
(+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (*.f64 692910599291889/5000000000000000 y)) |
(fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (*.f64 y 692910599291889/5000000000000000)) |
(*.f64 y (+.f64 692910599291889/5000000000000000 (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))) |
(*.f64 y (fma.f64 y 480125098611044764748221188321/100000000000000000000000000000000 692910599291889/5000000000000000)) |
1 |
(+.f64 1 (*.f64 692910599291889/5000000000000000 y)) |
(+.f64 (*.f64 y 692910599291889/5000000000000000) 1) |
(fma.f64 y 692910599291889/5000000000000000 1) |
(+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (+.f64 1 (*.f64 692910599291889/5000000000000000 y))) |
(fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (+.f64 (*.f64 y 692910599291889/5000000000000000) 1)) |
(fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (fma.f64 y 692910599291889/5000000000000000 1)) |
(fma.f64 y 692910599291889/5000000000000000 (fma.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000) 1)) |
(fma.f64 y (fma.f64 y 480125098611044764748221188321/100000000000000000000000000000000 692910599291889/5000000000000000) 1) |
(+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (+.f64 1 (*.f64 692910599291889/5000000000000000 y))) |
(fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (+.f64 (*.f64 y 692910599291889/5000000000000000) 1)) |
(fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (fma.f64 y 692910599291889/5000000000000000 1)) |
(fma.f64 y 692910599291889/5000000000000000 (fma.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000) 1)) |
(fma.f64 y (fma.f64 y 480125098611044764748221188321/100000000000000000000000000000000 692910599291889/5000000000000000) 1) |
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) |
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) |
(*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) |
(+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (*.f64 692910599291889/5000000000000000 y)) |
(fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (*.f64 y 692910599291889/5000000000000000)) |
(*.f64 y (+.f64 692910599291889/5000000000000000 (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))) |
(*.f64 y (fma.f64 y 480125098611044764748221188321/100000000000000000000000000000000 692910599291889/5000000000000000)) |
(+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (+.f64 1 (*.f64 692910599291889/5000000000000000 y))) |
(fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (+.f64 (*.f64 y 692910599291889/5000000000000000) 1)) |
(fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (fma.f64 y 692910599291889/5000000000000000 1)) |
(fma.f64 y 692910599291889/5000000000000000 (fma.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000) 1)) |
(fma.f64 y (fma.f64 y 480125098611044764748221188321/100000000000000000000000000000000 692910599291889/5000000000000000) 1) |
(+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (+.f64 1 (*.f64 692910599291889/5000000000000000 y))) |
(fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (+.f64 (*.f64 y 692910599291889/5000000000000000) 1)) |
(fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (fma.f64 y 692910599291889/5000000000000000 1)) |
(fma.f64 y 692910599291889/5000000000000000 (fma.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000) 1)) |
(fma.f64 y (fma.f64 y 480125098611044764748221188321/100000000000000000000000000000000 692910599291889/5000000000000000) 1) |
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) |
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) |
(*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) |
(+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (*.f64 692910599291889/5000000000000000 y)) |
(fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (*.f64 y 692910599291889/5000000000000000)) |
(*.f64 y (+.f64 692910599291889/5000000000000000 (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))) |
(*.f64 y (fma.f64 y 480125098611044764748221188321/100000000000000000000000000000000 692910599291889/5000000000000000)) |
(+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (+.f64 1 (*.f64 692910599291889/5000000000000000 y))) |
(fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (+.f64 (*.f64 y 692910599291889/5000000000000000) 1)) |
(fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (fma.f64 y 692910599291889/5000000000000000 1)) |
(fma.f64 y 692910599291889/5000000000000000 (fma.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000) 1)) |
(fma.f64 y (fma.f64 y 480125098611044764748221188321/100000000000000000000000000000000 692910599291889/5000000000000000) 1) |
(+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (+.f64 1 (*.f64 692910599291889/5000000000000000 y))) |
(fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (+.f64 (*.f64 y 692910599291889/5000000000000000) 1)) |
(fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y) (fma.f64 y 692910599291889/5000000000000000 1)) |
(fma.f64 y 692910599291889/5000000000000000 (fma.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000) 1)) |
(fma.f64 y (fma.f64 y 480125098611044764748221188321/100000000000000000000000000000000 692910599291889/5000000000000000) 1) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) | |
| ✓ | 0.2b | (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2) |
| ✓ | 6.1b | (*.f64 (-.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2)) y) |
| ✓ | 7.8b | (/.f64 (*.f64 (-.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2)) y) (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
Compiled 71 to 55 computations (22.5% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | (/.f64 (*.f64 (-.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2)) y) (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
| 2.0ms | z | @ | -inf | (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2) |
| 1.0ms | z | @ | 0 | (/.f64 (*.f64 (-.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2)) y) (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
| 1.0ms | y | @ | inf | (/.f64 (*.f64 (-.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2)) y) (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
| 1.0ms | z | @ | -inf | (/.f64 (*.f64 (-.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2)) y) (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
| 1× | batch-egg-rewrite |
| 662× | log-prod_binary64 |
| 370× | pow2_binary64 |
| 257× | pow1/3_binary64 |
| 256× | expm1-udef_binary64 |
| 256× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 42 |
| 1 | 300 | 30 |
| 2 | 3929 | 30 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2)) y) (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) |
(*.f64 (-.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2)) y) |
(pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000) y)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 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| 1× | egg-herbie |
| 673× | div-sub_binary64 |
| 384× | fma-def_binary64 |
| 358× | neg-mul-1_binary64 |
| 331× | associate-/r*_binary64 |
| 313× | neg-sub0_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 774 |
| 1 | 66 | 774 |
| 2 | 126 | 753 |
| 3 | 280 | 744 |
| 4 | 843 | 744 |
| 5 | 3703 | 744 |
| 6 | 5992 | 744 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1502441723209512141398037478866/20000000000000000000000000000000 (/.f64 y z)) |
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(*.f64 692910599291889/10000000000000000 y) |
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| Outputs |
|---|
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(/.f64 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (*.f64 z z)) |
(/.f64 (/.f64 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 z) z) |
(/.f64 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 2)) |
(/.f64 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (*.f64 z z)) |
(/.f64 (/.f64 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 z) z) |
(/.f64 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 2)) |
(/.f64 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (*.f64 z z)) |
(/.f64 (/.f64 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 z) z) |
(/.f64 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 2)) |
(/.f64 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (*.f64 z z)) |
(/.f64 (/.f64 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 z) z) |
Compiled 19273 to 14587 computations (24.3% saved)
16 alts after pruning (9 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 927 | 5 | 932 |
| Fresh | 2 | 4 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 7 | 9 |
| Total | 932 | 16 | 948 |
| Status | Error | Program |
|---|---|---|
| ✓ | 12.6b | (+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
| 15.3b | (+.f64 x (/.f64 (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) | |
| 29.2b | x | |
| ✓ | 23.9b | (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) |
| ✓ | 11.5b | (+.f64 x (/.f64 y 3350343815022304/279195317918525)) |
| 26.9b | (+.f64 x (*.f64 (-.f64 480125098611044764748221188321/100000000000000000000000000000000 (/.f64 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (*.f64 z z))) (/.f64 1 (/.f64 (+.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)) y)))) | |
| 26.9b | (+.f64 x (*.f64 (+.f64 480125098611044764748221188321/100000000000000000000000000000000 (/.f64 -564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (*.f64 z z))) (/.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))) | |
| 18.1b | (+.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))) | |
| ✓ | 19.4b | (+.f64 x (/.f64 (+.f64 (*.f64 y (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z)) (*.f64 y 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
| ✓ | 27.1b | (+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z (+.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280)))))))) |
| 12.6b | (+.f64 x (pow.f64 (/.f64 10000000000000000/692910599291889 y) -1)) | |
| 26.9b | (+.f64 x (-.f64 (/.f64 480125098611044764748221188321/100000000000000000000000000000000 (/.f64 (+.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)) y)) (/.f64 (/.f64 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (*.f64 z z)) (/.f64 (+.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)) y)))) | |
| ✓ | 20.8b | (+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
| ✓ | 11.5b | (+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
| 44.2b | (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) | |
| 24.8b | (+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)))))) |
Compiled 251 to 189 computations (24.7% saved)
| Inputs |
|---|
x |
x |
(+.f64 x (/.f64 y 3350343815022304/279195317918525)) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) |
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(+.f64 x (/.f64 (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) |
(+.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 x (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(+.f64 x (*.f64 (+.f64 480125098611044764748221188321/100000000000000000000000000000000 (/.f64 -564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (*.f64 z z))) (/.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))) |
(+.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 x (*.f64 (-.f64 480125098611044764748221188321/100000000000000000000000000000000 (/.f64 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (*.f64 z z))) (/.f64 1 (/.f64 (+.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)) y)))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(+.f64 x (/.f64 (+.f64 (*.f64 y (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z)) (*.f64 y 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(+.f64 (/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 692910599291889/10000000000000000 y)) (+.f64 1 (*.f64 692910599291889/10000000000000000 y))) 1) (+.f64 (+.f64 1 (*.f64 692910599291889/10000000000000000 y)) 1)) x) |
(+.f64 x (-.f64 (/.f64 480125098611044764748221188321/100000000000000000000000000000000 (/.f64 (+.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)) y)) (/.f64 (/.f64 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (*.f64 z z)) (/.f64 (+.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)) y)))) |
(+.f64 x (pow.f64 (/.f64 10000000000000000/692910599291889 y) -1)) |
(+.f64 x (pow.f64 (/.f64 3350343815022304/279195317918525 y) -1)) |
(+.f64 x (/.f64 (*.f64 (-.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2)) y) (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) |
(+.f64 x (/.f64 (*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(+.f64 x (/.f64 (+.f64 (*.f64 y (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (*.f64 y 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(+.f64 (pow.f64 (cbrt.f64 (*.f64 279195317918525/3350343815022304 y)) 3) x) |
(+.f64 (cbrt.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) x) |
(+.f64 (pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) x) |
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (expm1.f64 (log1p.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) 104698244219447/31250000000000))) |
(+.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 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))))) |
(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 (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 (pow.f64 (sqrt.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 2) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(+.f64 x (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 3) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(+.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 (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)) |
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)) 2) |
| Outputs |
|---|
(+.f64 x (pow.f64 (/.f64 10000000000000000/692910599291889 y) -1)) |
(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) x) |
6 calls:
| 69.0ms | x |
| 55.0ms | z |
| 52.0ms | y |
| 41.0ms | (+.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))) |
| 34.0ms | (/.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 |
|---|---|---|
| 7.7b | 4 | x |
| 10.0b | 3 | y |
| 0.1b | 3 | z |
| 0.1b | 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))) |
| 0.1b | 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)) |
| 0.1b | 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 681 to 484 computations (28.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 1.1625408330131266e-29 | 3.374246919897548e-25 |
| 27.0ms | -1.944676140676365e+52 | -4.992361991635503e+43 |
Compiled 30 to 23 computations (23.3% saved)
| Inputs |
|---|
x |
x |
(+.f64 x (/.f64 y 3350343815022304/279195317918525)) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) |
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(+.f64 x (/.f64 (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) |
(+.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 x (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(+.f64 x (*.f64 (+.f64 480125098611044764748221188321/100000000000000000000000000000000 (/.f64 -564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (*.f64 z z))) (/.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))) |
(+.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 x (*.f64 (-.f64 480125098611044764748221188321/100000000000000000000000000000000 (/.f64 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (*.f64 z z))) (/.f64 1 (/.f64 (+.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)) y)))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(+.f64 x (/.f64 (+.f64 (*.f64 y (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z)) (*.f64 y 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(+.f64 (/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 692910599291889/10000000000000000 y)) (+.f64 1 (*.f64 692910599291889/10000000000000000 y))) 1) (+.f64 (+.f64 1 (*.f64 692910599291889/10000000000000000 y)) 1)) x) |
(+.f64 x (-.f64 (/.f64 480125098611044764748221188321/100000000000000000000000000000000 (/.f64 (+.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)) y)) (/.f64 (/.f64 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (*.f64 z z)) (/.f64 (+.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)) y)))) |
(+.f64 x (pow.f64 (/.f64 10000000000000000/692910599291889 y) -1)) |
(+.f64 x (pow.f64 (/.f64 3350343815022304/279195317918525 y) -1)) |
(+.f64 x (/.f64 (*.f64 (-.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2)) y) (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) |
(+.f64 x (/.f64 (*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(+.f64 x (/.f64 (+.f64 (*.f64 y (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (*.f64 y 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(+.f64 (pow.f64 (cbrt.f64 (*.f64 279195317918525/3350343815022304 y)) 3) x) |
(+.f64 (cbrt.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) x) |
(+.f64 (pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) x) |
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (expm1.f64 (log1p.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) 104698244219447/31250000000000))) |
(+.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 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))))) |
| Outputs |
|---|
(+.f64 x (pow.f64 (/.f64 10000000000000000/692910599291889 y) -1)) |
(+.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 (*.f64 692910599291889/10000000000000000 y) x) |
6 calls:
| 58.0ms | x |
| 47.0ms | z |
| 43.0ms | y |
| 31.0ms | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
| 29.0ms | (+.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))) |
| Error | Segments | Branch |
|---|---|---|
| 7.7b | 4 | x |
| 10.0b | 3 | y |
| 0.1b | 3 | z |
| 0.4b | 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))) |
| 0.4b | 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)) |
| 0.4b | 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 529 to 376 computations (28.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 28.0ms | 1.1625408330131266e-29 | 3.374246919897548e-25 |
| 28.0ms | -4.992361991635503e+43 | -1.088585065371525e+35 |
Compiled 30 to 23 computations (23.3% saved)
| Inputs |
|---|
x |
x |
(+.f64 x (/.f64 y 3350343815022304/279195317918525)) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) |
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(+.f64 x (/.f64 (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) |
(+.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 x (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(+.f64 x (*.f64 (+.f64 480125098611044764748221188321/100000000000000000000000000000000 (/.f64 -564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (*.f64 z z))) (/.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))) |
(+.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 x (*.f64 (-.f64 480125098611044764748221188321/100000000000000000000000000000000 (/.f64 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (*.f64 z z))) (/.f64 1 (/.f64 (+.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)) y)))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(+.f64 x (/.f64 (+.f64 (*.f64 y (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z)) (*.f64 y 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(+.f64 (/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 692910599291889/10000000000000000 y)) (+.f64 1 (*.f64 692910599291889/10000000000000000 y))) 1) (+.f64 (+.f64 1 (*.f64 692910599291889/10000000000000000 y)) 1)) x) |
(+.f64 x (-.f64 (/.f64 480125098611044764748221188321/100000000000000000000000000000000 (/.f64 (+.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)) y)) (/.f64 (/.f64 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (*.f64 z z)) (/.f64 (+.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)) y)))) |
(+.f64 x (pow.f64 (/.f64 10000000000000000/692910599291889 y) -1)) |
(+.f64 x (pow.f64 (/.f64 3350343815022304/279195317918525 y) -1)) |
(+.f64 x (/.f64 (*.f64 (-.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2)) y) (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) |
(+.f64 x (/.f64 (*.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(+.f64 x (/.f64 (+.f64 (*.f64 y (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (*.f64 y 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(+.f64 (pow.f64 (cbrt.f64 (*.f64 279195317918525/3350343815022304 y)) 3) x) |
(+.f64 (cbrt.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) x) |
(+.f64 (pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) x) |
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (expm1.f64 (log1p.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) 104698244219447/31250000000000))) |
| Outputs |
|---|
(+.f64 x (pow.f64 (/.f64 10000000000000000/692910599291889 y) -1)) |
(+.f64 x (/.f64 (+.f64 (*.f64 y (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z)) (*.f64 y 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
6 calls:
| 70.0ms | x |
| 45.0ms | z |
| 40.0ms | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
| 39.0ms | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
| 39.0ms | (+.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))) |
| Error | Segments | Branch |
|---|---|---|
| 8.2b | 4 | x |
| 11.5b | 1 | y |
| 0.2b | 3 | z |
| 0.2b | 3 | (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
| 0.2b | 3 | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
| 0.2b | 3 | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
Compiled 473 to 338 computations (28.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 27.0ms | 1.1625408330131266e-29 | 3.374246919897548e-25 |
| 28.0ms | -5.94908189944784e+22 | -4.3370421330030247e+21 |
Compiled 30 to 23 computations (23.3% saved)
| Inputs |
|---|
x |
x |
(+.f64 x (/.f64 y 3350343815022304/279195317918525)) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) |
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(+.f64 x (/.f64 (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) |
(+.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 x (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(+.f64 x (*.f64 (+.f64 480125098611044764748221188321/100000000000000000000000000000000 (/.f64 -564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (*.f64 z z))) (/.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))) |
(+.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 x (*.f64 (-.f64 480125098611044764748221188321/100000000000000000000000000000000 (/.f64 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (*.f64 z z))) (/.f64 1 (/.f64 (+.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)) y)))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(+.f64 x (/.f64 (+.f64 (*.f64 y (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z)) (*.f64 y 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(+.f64 (/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 692910599291889/10000000000000000 y)) (+.f64 1 (*.f64 692910599291889/10000000000000000 y))) 1) (+.f64 (+.f64 1 (*.f64 692910599291889/10000000000000000 y)) 1)) x) |
(+.f64 x (-.f64 (/.f64 480125098611044764748221188321/100000000000000000000000000000000 (/.f64 (+.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)) y)) (/.f64 (/.f64 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (*.f64 z z)) (/.f64 (+.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)) y)))) |
| Outputs |
|---|
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 x (/.f64 (+.f64 (*.f64 y (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z)) (*.f64 y 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
6 calls:
| 50.0ms | x |
| 30.0ms | z |
| 28.0ms | (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
| 27.0ms | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
| 27.0ms | (/.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 |
|---|---|---|
| 8.2b | 4 | x |
| 11.5b | 1 | y |
| 0.2b | 3 | z |
| 0.2b | 3 | (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
| 0.2b | 3 | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
| 0.2b | 3 | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
Compiled 356 to 253 computations (28.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 27.0ms | 1.1625408330131266e-29 | 3.374246919897548e-25 |
| 27.0ms | -5.94908189944784e+22 | -4.3370421330030247e+21 |
Compiled 30 to 23 computations (23.3% saved)
| Inputs |
|---|
x |
x |
(+.f64 x (/.f64 y 3350343815022304/279195317918525)) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) |
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(+.f64 x (/.f64 (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) |
(+.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 x (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(+.f64 x (*.f64 (+.f64 480125098611044764748221188321/100000000000000000000000000000000 (/.f64 -564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (*.f64 z z))) (/.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))) |
(+.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 x (*.f64 (-.f64 480125098611044764748221188321/100000000000000000000000000000000 (/.f64 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (*.f64 z z))) (/.f64 1 (/.f64 (+.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)) y)))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
| Outputs |
|---|
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.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 692910599291889/10000000000000000 y) x) |
6 calls:
| 46.0ms | x |
| 27.0ms | (+.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))) |
| 27.0ms | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
| 27.0ms | z |
| 26.0ms | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
| Error | Segments | Branch |
|---|---|---|
| 8.2b | 4 | x |
| 11.5b | 1 | y |
| 0.2b | 3 | z |
| 0.2b | 3 | (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
| 0.2b | 3 | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
| 0.2b | 3 | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
Compiled 285 to 201 computations (29.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 27.0ms | 1.1625408330131266e-29 | 3.374246919897548e-25 |
| 28.0ms | -5.94908189944784e+22 | -4.3370421330030247e+21 |
Compiled 30 to 23 computations (23.3% saved)
| Inputs |
|---|
x |
x |
(+.f64 x (/.f64 y 3350343815022304/279195317918525)) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) |
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(+.f64 x (/.f64 (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) |
(+.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 x (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(+.f64 x (*.f64 (+.f64 480125098611044764748221188321/100000000000000000000000000000000 (/.f64 -564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (*.f64 z z))) (/.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))) |
(+.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 x (*.f64 (-.f64 480125098611044764748221188321/100000000000000000000000000000000 (/.f64 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (*.f64 z z))) (/.f64 1 (/.f64 (+.f64 692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)) y)))) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
| Outputs |
|---|
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) |
(+.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) x) |
3 calls:
| 46.0ms | x |
| 26.0ms | z |
| 10.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 8.2b | 5 | x |
| 11.5b | 1 | y |
| 0.3b | 3 | z |
Compiled 196 to 134 computations (31.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 49.0ms | 1.1625408330131266e-29 | 3.374246919897548e-25 |
| 34.0ms | -6106.130271590426 | -3.547511363609326 |
Compiled 30 to 23 computations (23.3% saved)
| Inputs |
|---|
x |
x |
(+.f64 x (/.f64 y 3350343815022304/279195317918525)) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) |
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(+.f64 x (/.f64 (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) |
(+.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 x (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
(+.f64 x (*.f64 (+.f64 480125098611044764748221188321/100000000000000000000000000000000 (/.f64 -564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (*.f64 z z))) (/.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))) |
| Outputs |
|---|
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) |
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)))))) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
3 calls:
| 29.0ms | x |
| 23.0ms | z |
| 9.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 9.2b | 3 | x |
| 11.5b | 1 | y |
| 0.4b | 3 | z |
Compiled 124 to 84 computations (32.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 29.0ms | 1.1625408330131266e-29 | 3.374246919897548e-25 |
| 29.0ms | -6106.130271590426 | -3.547511363609326 |
Compiled 30 to 23 computations (23.3% saved)
| Inputs |
|---|
x |
x |
(+.f64 x (/.f64 y 3350343815022304/279195317918525)) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) |
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(+.f64 x (/.f64 (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)) |
| Outputs |
|---|
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) |
(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
3 calls:
| 25.0ms | z |
| 25.0ms | x |
| 8.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 9.2b | 3 | x |
| 11.5b | 1 | y |
| 0.4b | 3 | z |
Compiled 81 to 54 computations (33.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 27.0ms | 1.1625408330131266e-29 | 3.374246919897548e-25 |
| 28.0ms | -6106.130271590426 | -3.547511363609326 |
Compiled 30 to 23 computations (23.3% saved)
| Inputs |
|---|
x |
x |
(+.f64 x (/.f64 y 3350343815022304/279195317918525)) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) |
| Outputs |
|---|
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) |
(+.f64 x (/.f64 y 3350343815022304/279195317918525)) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
3 calls:
| 18.0ms | x |
| 15.0ms | z |
| 5.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 9.2b | 3 | x |
| 11.5b | 1 | y |
| 0.4b | 3 | z |
Compiled 41 to 27 computations (34.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 27.0ms | 1.1625408330131266e-29 | 3.374246919897548e-25 |
| 27.0ms | -6106.130271590426 | -3.547511363609326 |
Compiled 30 to 23 computations (23.3% saved)
| Inputs |
|---|
x |
x |
(+.f64 x (/.f64 y 3350343815022304/279195317918525)) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
| Outputs |
|---|
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 x (/.f64 y 3350343815022304/279195317918525)) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
3 calls:
| 16.0ms | x |
| 12.0ms | z |
| 5.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 9.2b | 3 | x |
| 11.5b | 1 | y |
| 0.5b | 3 | z |
Compiled 32 to 21 computations (34.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 27.0ms | 1.1625408330131266e-29 | 3.374246919897548e-25 |
| 27.0ms | -6106.130271590426 | -3.547511363609326 |
Compiled 30 to 23 computations (23.3% saved)
| Inputs |
|---|
x |
x |
(+.f64 x (/.f64 y 3350343815022304/279195317918525)) |
| Outputs |
|---|
(+.f64 x (/.f64 y 3350343815022304/279195317918525)) |
3 calls:
| 5.0ms | y |
| 4.0ms | x |
| 3.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 11.5b | 1 | x |
| 11.5b | 1 | y |
| 11.5b | 1 | z |
Compiled 22 to 15 computations (31.8% saved)
Total -0.0b remaining (-0%)
Threshold costs -0.0b (-0%)
| Inputs |
|---|
x |
x |
| Outputs |
|---|
x |
3 calls:
| 4.0ms | y |
| 3.0ms | x |
| 3.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 29.2b | 1 | x |
| 29.2b | 1 | y |
| 29.2b | 1 | z |
Compiled 17 to 12 computations (29.4% saved)
| 1× | egg-herbie |
| 22× | +-commutative_binary64 |
| 18× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 101 | 519 |
| 1 | 142 | 519 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 z -19446761406763648863790555805049047703976917925363712) (+.f64 x (pow.f64 (/.f64 10000000000000000/692910599291889 y) -1)) (if (<=.f64 z 16990553309127163904/1461501637330902918203684832716283019655932542976) (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) x))) |
(if (<=.f64 z -49923619916355029825692078675785016382849024) (+.f64 x (pow.f64 (/.f64 10000000000000000/692910599291889 y) -1)) (if (<=.f64 z 16990553309127163904/1461501637330902918203684832716283019655932542976) (+.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 (*.f64 692910599291889/10000000000000000 y) x))) |
(if (<=.f64 z -59490818994478403026944) (+.f64 x (pow.f64 (/.f64 10000000000000000/692910599291889 y) -1)) (if (<=.f64 z 16990553309127163904/1461501637330902918203684832716283019655932542976) (+.f64 x (/.f64 (+.f64 (*.f64 y (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z)) (*.f64 y 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) (+.f64 (*.f64 692910599291889/10000000000000000 y) x))) |
(if (<=.f64 z -59490818994478403026944) (+.f64 (*.f64 692910599291889/10000000000000000 y) x) (if (<=.f64 z 16990553309127163904/1461501637330902918203684832716283019655932542976) (+.f64 x (/.f64 (+.f64 (*.f64 y (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z)) (*.f64 y 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) (+.f64 (*.f64 692910599291889/10000000000000000 y) x))) |
(if (<=.f64 z -59490818994478403026944) (+.f64 (*.f64 692910599291889/10000000000000000 y) x) (if (<=.f64 z 16990553309127163904/1461501637330902918203684832716283019655932542976) (+.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 692910599291889/10000000000000000 y) x))) |
(if (<=.f64 z -3356880617164349/549755813888) (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) (if (<=.f64 z 16990553309127163904/1461501637330902918203684832716283019655932542976) (+.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) x))) |
(if (<=.f64 z -3356880617164349/549755813888) (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) (if (<=.f64 z 16990553309127163904/1461501637330902918203684832716283019655932542976) (+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)))))) (+.f64 (*.f64 692910599291889/10000000000000000 y) x))) |
(if (<=.f64 z -3356880617164349/549755813888) (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) (if (<=.f64 z 16990553309127163904/1461501637330902918203684832716283019655932542976) (+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) (+.f64 (*.f64 692910599291889/10000000000000000 y) x))) |
(if (<=.f64 z -3356880617164349/549755813888) (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) (if (<=.f64 z 16990553309127163904/1461501637330902918203684832716283019655932542976) (+.f64 x (/.f64 y 3350343815022304/279195317918525)) (+.f64 (*.f64 692910599291889/10000000000000000 y) x))) |
(if (<=.f64 z -3356880617164349/549755813888) (+.f64 (*.f64 692910599291889/10000000000000000 y) x) (if (<=.f64 z 16990553309127163904/1461501637330902918203684832716283019655932542976) (+.f64 x (/.f64 y 3350343815022304/279195317918525)) (+.f64 (*.f64 692910599291889/10000000000000000 y) x))) |
(+.f64 x (/.f64 y 3350343815022304/279195317918525)) |
x |
| Outputs |
|---|
(if (<=.f64 z -19446761406763648863790555805049047703976917925363712) (+.f64 x (pow.f64 (/.f64 10000000000000000/692910599291889 y) -1)) (if (<=.f64 z 16990553309127163904/1461501637330902918203684832716283019655932542976) (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) x))) |
(if (<=.f64 z -19446761406763648863790555805049047703976917925363712) (+.f64 x (pow.f64 (/.f64 10000000000000000/692910599291889 y) -1)) (if (<=.f64 z 1037021075996531/89202980794122492566142873090593446023921664) (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 y 692910599291889/10000000000000000)))) |
(if (<=.f64 z -49923619916355029825692078675785016382849024) (+.f64 x (pow.f64 (/.f64 10000000000000000/692910599291889 y) -1)) (if (<=.f64 z 16990553309127163904/1461501637330902918203684832716283019655932542976) (+.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 (*.f64 692910599291889/10000000000000000 y) x))) |
(if (<=.f64 z -49923619916355029825692078675785016382849024) (+.f64 x (pow.f64 (/.f64 10000000000000000/692910599291889 y) -1)) (if (<=.f64 z 1037021075996531/89202980794122492566142873090593446023921664) (+.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 y 692910599291889/10000000000000000)))) |
(if (<=.f64 z -59490818994478403026944) (+.f64 x (pow.f64 (/.f64 10000000000000000/692910599291889 y) -1)) (if (<=.f64 z 16990553309127163904/1461501637330902918203684832716283019655932542976) (+.f64 x (/.f64 (+.f64 (*.f64 y (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z)) (*.f64 y 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) (+.f64 (*.f64 692910599291889/10000000000000000 y) x))) |
(if (<=.f64 z -59490818994478403026944) (+.f64 x (pow.f64 (/.f64 10000000000000000/692910599291889 y) -1)) (if (<=.f64 z 1037021075996531/89202980794122492566142873090593446023921664) (+.f64 x (/.f64 (+.f64 (*.f64 y (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000)))) (*.f64 y 11167812716741/40000000000000)) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) (+.f64 x (*.f64 y 692910599291889/10000000000000000)))) |
(if (<=.f64 z -59490818994478403026944) (+.f64 (*.f64 692910599291889/10000000000000000 y) x) (if (<=.f64 z 16990553309127163904/1461501637330902918203684832716283019655932542976) (+.f64 x (/.f64 (+.f64 (*.f64 y (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z)) (*.f64 y 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) (+.f64 (*.f64 692910599291889/10000000000000000 y) x))) |
(if (<=.f64 z -59490818994478403026944) (+.f64 x (*.f64 y 692910599291889/10000000000000000)) (if (<=.f64 z 1037021075996531/89202980794122492566142873090593446023921664) (+.f64 x (/.f64 (+.f64 (*.f64 y (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000)))) (*.f64 y 11167812716741/40000000000000)) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) (+.f64 x (*.f64 y 692910599291889/10000000000000000)))) |
(if (<=.f64 z -59490818994478403026944) (+.f64 (*.f64 692910599291889/10000000000000000 y) x) (if (<=.f64 z 16990553309127163904/1461501637330902918203684832716283019655932542976) (+.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 692910599291889/10000000000000000 y) x))) |
(if (<=.f64 z -59490818994478403026944) (+.f64 x (*.f64 y 692910599291889/10000000000000000)) (if (<=.f64 z 1037021075996531/89202980794122492566142873090593446023921664) (+.f64 x (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 z (+.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))))) (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) (+.f64 x (*.f64 y 692910599291889/10000000000000000)))) |
(if (<=.f64 z -3356880617164349/549755813888) (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) (if (<=.f64 z 16990553309127163904/1461501637330902918203684832716283019655932542976) (+.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) x))) |
(if (<=.f64 z -3356880617164349/549755813888) (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) (if (<=.f64 z 1037021075996531/89202980794122492566142873090593446023921664) (+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z (+.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280)))))))) (+.f64 x (*.f64 y 692910599291889/10000000000000000)))) |
(if (<=.f64 z -3356880617164349/549755813888) (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) (if (<=.f64 z 16990553309127163904/1461501637330902918203684832716283019655932542976) (+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)))))) (+.f64 (*.f64 692910599291889/10000000000000000 y) x))) |
(if (<=.f64 z -3356880617164349/549755813888) (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) (if (<=.f64 z 1037021075996531/89202980794122492566142873090593446023921664) (+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)))))) (+.f64 x (*.f64 y 692910599291889/10000000000000000)))) |
(if (<=.f64 z -3356880617164349/549755813888) (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) (if (<=.f64 z 16990553309127163904/1461501637330902918203684832716283019655932542976) (+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) (+.f64 (*.f64 692910599291889/10000000000000000 y) x))) |
(if (<=.f64 z -3356880617164349/549755813888) (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) (if (<=.f64 z 1037021075996531/89202980794122492566142873090593446023921664) (+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) (+.f64 x (*.f64 y 692910599291889/10000000000000000)))) |
(if (<=.f64 z -3356880617164349/549755813888) (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) (if (<=.f64 z 16990553309127163904/1461501637330902918203684832716283019655932542976) (+.f64 x (/.f64 y 3350343815022304/279195317918525)) (+.f64 (*.f64 692910599291889/10000000000000000 y) x))) |
(if (<=.f64 z -3356880617164349/549755813888) (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) (if (<=.f64 z 1037021075996531/89202980794122492566142873090593446023921664) (+.f64 x (/.f64 y 3350343815022304/279195317918525)) (+.f64 x (*.f64 y 692910599291889/10000000000000000)))) |
(if (<=.f64 z -3356880617164349/549755813888) (+.f64 (*.f64 692910599291889/10000000000000000 y) x) (if (<=.f64 z 16990553309127163904/1461501637330902918203684832716283019655932542976) (+.f64 x (/.f64 y 3350343815022304/279195317918525)) (+.f64 (*.f64 692910599291889/10000000000000000 y) x))) |
(if (<=.f64 z -3356880617164349/549755813888) (+.f64 x (*.f64 y 692910599291889/10000000000000000)) (if (<=.f64 z 1037021075996531/89202980794122492566142873090593446023921664) (+.f64 x (/.f64 y 3350343815022304/279195317918525)) (+.f64 x (*.f64 y 692910599291889/10000000000000000)))) |
(+.f64 x (/.f64 y 3350343815022304/279195317918525)) |
x |
Compiled 395 to 280 computations (29.1% 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 362 to 247 computations (31.8% saved)
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