Time bar (total: 3.8s)
| 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 |
| 53.9% | 45.9% | 0.1% | 13 |
| 57.8% | 42.1% | 0.1% | 14 |
Compiled 25 to 19 computations (24% saved)
| 1.2s | 8256× | body | 128 | valid |
| 2× | egg-herbie |
| 2164× | fma-def_binary64 |
| 374× | distribute-rgt-out_binary64 |
| 341× | associate-/l*_binary64 |
| 257× | associate-*l*_binary64 |
| 220× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 100 |
| 1 | 109 | 100 |
| 2 | 233 | 92 |
| 3 | 599 | 92 |
| 4 | 1224 | 92 |
| 5 | 2221 | 92 |
| 6 | 2611 | 92 |
| 7 | 3018 | 92 |
| 8 | 3530 | 92 |
| 9 | 4245 | 92 |
| 10 | 4268 | 92 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | node limit |
| 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 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y))) |
(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 24 to 18 computations (25% saved)
| 1× | egg-herbie |
| 722× | fma-def_binary64 |
| 94× | distribute-rgt-out_binary64 |
| 88× | associate-/l*_binary64 |
| 68× | associate-*l*_binary64 |
| 64× | *-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 25 |
| 1 | 39 | 25 |
| 2 | 74 | 23 |
| 3 | 175 | 23 |
| 4 | 349 | 23 |
| 5 | 607 | 23 |
| 6 | 878 | 23 |
| 7 | 1010 | 23 |
| 8 | 1256 | 23 |
| 9 | 1671 | 23 |
| 10 | 1735 | 23 |
| 11 | 1736 | 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 (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) |
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 |
|---|---|---|
| 22.9b | (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) | |
| ▶ | 18.9b | (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) |
Compiled 88 to 64 computations (27.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) |
| ✓ | 0.2b | (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) |
| ✓ | 0.3b | (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) |
| ✓ | 18.3b | (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 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 | z | @ | 0 | (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) |
| 1.0ms | 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)) |
| 1.0ms | 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× | batch-egg-rewrite |
| 285× | expm1-udef_binary64 |
| 285× | log1p-udef_binary64 |
| 161× | add-sqr-sqrt_binary64 |
| 159× | prod-diff_binary64 |
| 152× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 56 |
| 1 | 323 | 56 |
| 2 | 3879 | 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 (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))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2)) (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 11167812716741/40000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 1) 11167812716741/40000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 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11167812716741/40000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))))) |
| 1× | egg-herbie |
| 722× | times-frac_binary64 |
| 373× | associate-*l*_binary64 |
| 316× | fma-def_binary64 |
| 308× | associate-+l+_binary64 |
| 222× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 1415 |
| 1 | 241 | 1231 |
| 2 | 604 | 1178 |
| 3 | 1670 | 953 |
| 4 | 3829 | 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) |
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y) x) |
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y) x) |
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (*.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y) x) |
(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) |
(+.f64 (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) x) |
(+.f64 (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) x) |
(+.f64 (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) x) |
(+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x)) |
(+.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x))) |
(+.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 y (pow.f64 z 2))) (+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) (+.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (*.f64 y (pow.f64 z 3))) x)))) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)) |
(+.f64 (*.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))) |
(+.f64 (*.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)))) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)) |
(+.f64 (*.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))) |
(+.f64 (*.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 3))) (+.f64 (*.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)))) |
(/.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 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) x) |
(+.f64 (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) x) |
(+.f64 (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) 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) |
(+.f64 (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) x) |
(+.f64 (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) 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) |
(+.f64 (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) x) |
(+.f64 (/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) x) |
11167812716741/40000000000000 |
(+.f64 11167812716741/40000000000000 (*.f64 307332350656623/625000000000000 z)) |
(+.f64 11167812716741/40000000000000 (+.f64 (*.f64 307332350656623/625000000000000 z) (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)))) |
(+.f64 11167812716741/40000000000000 (+.f64 (*.f64 307332350656623/625000000000000 z) (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)))) |
(*.f64 692910599291889/10000000000000000 (pow.f64 z 2)) |
(+.f64 (*.f64 307332350656623/625000000000000 z) (*.f64 692910599291889/10000000000000000 (pow.f64 z 2))) |
(+.f64 11167812716741/40000000000000 (+.f64 (*.f64 307332350656623/625000000000000 z) (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)))) |
(+.f64 11167812716741/40000000000000 (+.f64 (*.f64 307332350656623/625000000000000 z) (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)))) |
(*.f64 692910599291889/10000000000000000 (pow.f64 z 2)) |
(+.f64 (*.f64 307332350656623/625000000000000 z) (*.f64 692910599291889/10000000000000000 (pow.f64 z 2))) |
(+.f64 11167812716741/40000000000000 (+.f64 (*.f64 307332350656623/625000000000000 z) (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)))) |
(+.f64 11167812716741/40000000000000 (+.f64 (*.f64 307332350656623/625000000000000 z) (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)))) |
| Outputs |
|---|
279195317918525/3350343815022304 |
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(+.f64 279195317918525/3350343815022304 (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z z) (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))) |
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692910599291889/10000000000000000 |
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692910599291889/10000000000000000 |
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307332350656623/625000000000000 |
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(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) |
x |
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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 3183 to 2209 computations (30.6% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 147 | 6 | 153 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 148 | 7 | 155 |
| Status | Error | Program |
|---|---|---|
| 19.0b | (fma.f64 y (pow.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3) 1/3) x) | |
| 22.9b | (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) | |
| 20.1b | (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) | |
| 22.7b | (+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x)) | |
| 18.9b | (fma.f64 y (/.f64 (fma.f64 z (*.f64 (cbrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (cbrt.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2))) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) | |
| 43.7b | (pow.f64 (sqrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)) 2) | |
| ▶ | 11.8b | (fma.f64 y 692910599291889/10000000000000000 x) |
Compiled 282 to 208 computations (26.2% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (fma.f64 y 692910599291889/10000000000000000 x) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | -inf | (fma.f64 y 692910599291889/10000000000000000 x) |
| 0.0ms | y | @ | 0 | (fma.f64 y 692910599291889/10000000000000000 x) |
| 0.0ms | y | @ | -inf | (fma.f64 y 692910599291889/10000000000000000 x) |
| 0.0ms | y | @ | inf | (fma.f64 y 692910599291889/10000000000000000 x) |
| 0.0ms | x | @ | 0 | (fma.f64 y 692910599291889/10000000000000000 x) |
| 1× | batch-egg-rewrite |
| 450× | pow1_binary64 |
| 416× | add-log-exp_binary64 |
| 416× | log1p-expm1-u_binary64 |
| 416× | expm1-log1p-u_binary64 |
| 408× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 5 |
| 1 | 100 | 5 |
| 2 | 1106 | 5 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 y 692910599291889/10000000000000000 x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y 692910599291889/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 692910599291889/10000000000000000) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y 692910599291889/10000000000000000) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y 692910599291889/10000000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y 692910599291889/10000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y 692910599291889/10000000000000000) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 y 692910599291889/10000000000000000)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y 692910599291889/10000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 y 692910599291889/10000000000000000)) (*.f64 x x)) (-.f64 (*.f64 y 692910599291889/10000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y 692910599291889/10000000000000000 x))))))) |
| 1× | egg-herbie |
| 2× | fma-def_binary64 |
| 1× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 105 |
| 1 | 9 | 105 |
| 2 | 10 | 105 |
| 1× | saturated |
| Inputs |
|---|
x |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(*.f64 692910599291889/10000000000000000 y) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(*.f64 692910599291889/10000000000000000 y) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(*.f64 692910599291889/10000000000000000 y) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
x |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
x |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
| Outputs |
|---|
x |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
(*.f64 692910599291889/10000000000000000 y) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
(*.f64 692910599291889/10000000000000000 y) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
(*.f64 692910599291889/10000000000000000 y) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
x |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
x |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
Compiled 200 to 135 computations (32.5% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 21 | 4 | 25 |
| Fresh | 1 | 5 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 22 | 10 | 32 |
| Status | Error | Program |
|---|---|---|
| 19.0b | (fma.f64 y (pow.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3) 1/3) x) | |
| 22.9b | (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) | |
| 22.7b | (+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x)) | |
| 48.2b | (/.f64 (+.f64 (pow.f64 (*.f64 y 692910599291889/10000000000000000) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 y 692910599291889/10000000000000000)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y 692910599291889/10000000000000000) x)))) | |
| 20.1b | (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) | |
| 39.0b | (pow.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2) | |
| ▶ | 12.7b | (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 3) |
| 18.9b | (fma.f64 y (/.f64 (fma.f64 z (*.f64 (cbrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (cbrt.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2))) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) | |
| 12.7b | (*.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2)) | |
| ✓ | 11.8b | (fma.f64 y 692910599291889/10000000000000000 x) |
Compiled 361 to 269 computations (25.5% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (fma.f64 y 692910599291889/10000000000000000 x) | |
| ✓ | 0.6b | (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) |
| ✓ | 0.7b | (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 3) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 3) |
| 5.0ms | y | @ | 0 | (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 3) |
| 2.0ms | y | @ | inf | (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 3) |
| 1.0ms | x | @ | inf | (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 3) |
| 1.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 3) |
| 1× | batch-egg-rewrite |
| 620× | pow1_binary64 |
| 584× | add-log-exp_binary64 |
| 584× | log1p-expm1-u_binary64 |
| 584× | expm1-log1p-u_binary64 |
| 71× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 12 |
| 1 | 168 | 12 |
| 2 | 1613 | 12 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 3) |
(cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y 692910599291889/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 692910599291889/10000000000000000) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y 692910599291889/10000000000000000) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y 692910599291889/10000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1/6) (*.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1/6) (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2)) 3) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1/6) 3) (pow.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2) 1) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2) (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1/6)) (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y 692910599291889/10000000000000000) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 y 692910599291889/10000000000000000)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y 692910599291889/10000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 y 692910599291889/10000000000000000)) (*.f64 x x)) (-.f64 (*.f64 y 692910599291889/10000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y 692910599291889/10000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 692910599291889/10000000000000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y 692910599291889/10000000000000000 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1/6) (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 1/3) (pow.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))))) |
| 1× | egg-herbie |
| 378× | associate-+l+_binary64 |
| 304× | distribute-lft-in_binary64 |
| 304× | distribute-rgt-in_binary64 |
| 197× | associate-*r*_binary64 |
| 182× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 182 | 1255 |
| 1 | 565 | 1218 |
| 2 | 2058 | 1162 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 (+.f64 (*.f64 230970199763963/5000000000000000 (pow.f64 (pow.f64 x 4) 1/9)) (*.f64 230970199763963/10000000000000000 (pow.f64 (pow.f64 x 4) 1/9))) y) x) |
(+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 -53347233179004973860913465369/50000000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9)) (*.f64 53347233179004973860913465369/100000000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9))) (pow.f64 x 1/3)) (+.f64 (*.f64 -53347233179004973860913465369/100000000000000000000000000000000 (pow.f64 (/.f64 1 x) 1/9)) (*.f64 53347233179004973860913465369/50000000000000000000000000000000 (pow.f64 (/.f64 1 x) 1/9)))) (pow.f64 y 2)) (+.f64 (*.f64 (+.f64 (*.f64 230970199763963/5000000000000000 (pow.f64 (pow.f64 x 4) 1/9)) (*.f64 230970199763963/10000000000000000 (pow.f64 (pow.f64 x 4) 1/9))) y) x)) |
(+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 -53347233179004973860913465369/50000000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9)) (*.f64 53347233179004973860913465369/100000000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9))) (pow.f64 x 1/3)) (+.f64 (*.f64 -53347233179004973860913465369/100000000000000000000000000000000 (pow.f64 (/.f64 1 x) 1/9)) (*.f64 53347233179004973860913465369/50000000000000000000000000000000 (pow.f64 (/.f64 1 x) 1/9)))) (pow.f64 y 2)) (+.f64 (*.f64 (+.f64 (*.f64 230970199763963/5000000000000000 (pow.f64 (pow.f64 x 4) 1/9)) (*.f64 230970199763963/10000000000000000 (pow.f64 (pow.f64 x 4) 1/9))) y) (+.f64 (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 -2/3 (*.f64 (+.f64 (*.f64 -36964863312628481207331474791287716524092041/500000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (*.f64 12321621104209493735777158263762572174697347/1000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (/.f64 1 x) 1/3))) (*.f64 12321621104209493735777158263762572174697347/500000000000000000000000000000000000000000000000 (/.f64 1 x))) (pow.f64 x 1/3)) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 -36964863312628481207331474791287716524092041/500000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (*.f64 12321621104209493735777158263762572174697347/1000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))) (+.f64 (*.f64 -12321621104209493735777158263762572174697347/500000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (*.f64 230970199763963/10000000000000000 (*.f64 (+.f64 (*.f64 -53347233179004973860913465369/50000000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9)) (*.f64 53347233179004973860913465369/100000000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9))) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9)))))) (pow.f64 y 3)) x))) |
(*.f64 692910599291889/10000000000000000 y) |
(+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 4) 1/3) (pow.f64 (pow.f64 y 4) 1/9))) (*.f64 2/3 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 4) 1/3) (pow.f64 (pow.f64 y 4) 1/9)))) x) (*.f64 692910599291889/10000000000000000 y)) |
(+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 4) 1/3) (pow.f64 (pow.f64 y 4) 1/9))) (*.f64 2/3 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 4) 1/3) (pow.f64 (pow.f64 y 4) 1/9)))) x) (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 (cbrt.f64 692910599291889/10000000000000000) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 4)) 1/3) (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/9))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 4)) 1/3) (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/9))))) (pow.f64 y 1/3)) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 692910599291889/10000000000000000)) 1/3) (pow.f64 (/.f64 1 y) 1/9))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 692910599291889/10000000000000000)) 1/3) (pow.f64 (/.f64 1 y) 1/9))))) (pow.f64 x 2)) (*.f64 692910599291889/10000000000000000 y))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 4) 1/3) (pow.f64 (pow.f64 y 4) 1/9))) (*.f64 2/3 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 4) 1/3) (pow.f64 (pow.f64 y 4) 1/9)))) x) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2)) 1/3) (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/9) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 4)) 1/3) (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/9))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 4)) 1/3) (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/9))))))) (+.f64 (*.f64 (*.f64 (cbrt.f64 692910599291889/10000000000000000) (-.f64 (*.f64 -2/3 (*.f64 (/.f64 (+.f64 (*.f64 -2/9 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2)) (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3))) (*.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2)) (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)))) (cbrt.f64 692910599291889/10000000000000000)) (pow.f64 (/.f64 1 y) 1/3))) (*.f64 20000000000000000/18708586180881003 (/.f64 1 y)))) (pow.f64 y 1/3)) (+.f64 (*.f64 -2/27 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2)) (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3))) (*.f64 -1/3 (+.f64 (*.f64 -2/9 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2)) (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3))) (*.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2)) (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)))))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 (cbrt.f64 692910599291889/10000000000000000) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 4)) 1/3) (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/9))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 4)) 1/3) (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/9))))) (pow.f64 y 1/3)) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 692910599291889/10000000000000000)) 1/3) (pow.f64 (/.f64 1 y) 1/9))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 692910599291889/10000000000000000)) 1/3) (pow.f64 (/.f64 1 y) 1/9))))) (pow.f64 x 2)) (*.f64 692910599291889/10000000000000000 y)))) |
(pow.f64 x 1/3) |
(+.f64 (pow.f64 x 1/3) (*.f64 230970199763963/10000000000000000 (*.f64 y (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9)))) |
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 230970199763963/10000000000000000 (*.f64 y (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9))) (*.f64 -53347233179004973860913465369/100000000000000000000000000000000 (*.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9))))) |
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 230970199763963/10000000000000000 (*.f64 y (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9))) (+.f64 (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -36964863312628481207331474791287716524092041/500000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (*.f64 12321621104209493735777158263762572174697347/1000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (*.f64 -53347233179004973860913465369/100000000000000000000000000000000 (*.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9)))))) |
(*.f64 (cbrt.f64 692910599291889/10000000000000000) (pow.f64 y 1/3)) |
(+.f64 (*.f64 (cbrt.f64 692910599291889/10000000000000000) (pow.f64 y 1/3)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2)) 1/3) (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/9) x)))) |
(+.f64 (*.f64 (cbrt.f64 692910599291889/10000000000000000) (pow.f64 y 1/3)) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 7)) 1/3) (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/9) (pow.f64 x 2)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2)) 1/3) (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/9) x))))) |
(+.f64 (*.f64 (cbrt.f64 692910599291889/10000000000000000) (pow.f64 y 1/3)) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 7)) 1/3) (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/9) (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2)) 1/3) (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/9) x))) (*.f64 -1/3 (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2)) (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3))) (*.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2)) (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2)) (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)))))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 (+.f64 (*.f64 230970199763963/5000000000000000 (pow.f64 (pow.f64 x 4) 1/9)) (*.f64 230970199763963/10000000000000000 (pow.f64 (pow.f64 x 4) 1/9))) y) x) |
(fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 4) 1/18) (pow.f64 (pow.f64 x 4) 1/18)) 692910599291889/10000000000000000) y x) |
(+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 -53347233179004973860913465369/50000000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9)) (*.f64 53347233179004973860913465369/100000000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9))) (pow.f64 x 1/3)) (+.f64 (*.f64 -53347233179004973860913465369/100000000000000000000000000000000 (pow.f64 (/.f64 1 x) 1/9)) (*.f64 53347233179004973860913465369/50000000000000000000000000000000 (pow.f64 (/.f64 1 x) 1/9)))) (pow.f64 y 2)) (+.f64 (*.f64 (+.f64 (*.f64 230970199763963/5000000000000000 (pow.f64 (pow.f64 x 4) 1/9)) (*.f64 230970199763963/10000000000000000 (pow.f64 (pow.f64 x 4) 1/9))) y) x)) |
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(fma.f64 x (*.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 (cbrt.f64 692910599291889/10000000000000000))) (*.f64 (pow.f64 (pow.f64 y 4) 1/18) (pow.f64 (pow.f64 y 4) 1/18))) (fma.f64 (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/18) (cbrt.f64 (/.f64 10000000000000000/692910599291889 (cbrt.f64 692910599291889/10000000000000000))))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 y y)) 1/18) (pow.f64 (/.f64 1 (*.f64 y y)) 1/18))))) (fma.f64 (cbrt.f64 692910599291889/10000000000000000) (*.f64 (cbrt.f64 y) (fma.f64 -2/3 (*.f64 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 y y))) -5/27) 692910599291889/10000000000000000) (cbrt.f64 (/.f64 1 y))) (/.f64 -20000000000000000/18708586180881003 y))) (*.f64 (/.f64 -1/81 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2)) (cbrt.f64 (/.f64 1 (*.f64 y y)))))) (pow.f64 x 3) (fma.f64 (*.f64 x x) (fma.f64 (cbrt.f64 692910599291889/10000000000000000) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/18) (cbrt.f64 (/.f64 10000000000000000/692910599291889 (cbrt.f64 692910599291889/10000000000000000))))) (*.f64 -1/9 (cbrt.f64 y))) (*.f64 (*.f64 (pow.f64 (/.f64 1 y) 1/18) (pow.f64 (/.f64 1 y) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 692910599291889/10000000000000000))) 1/9))) (*.f64 y 692910599291889/10000000000000000)))) |
(pow.f64 x 1/3) |
(cbrt.f64 x) |
(+.f64 (pow.f64 x 1/3) (*.f64 230970199763963/10000000000000000 (*.f64 y (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9)))) |
(+.f64 (cbrt.f64 x) (*.f64 (*.f64 230970199763963/10000000000000000 y) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18)))) |
(fma.f64 230970199763963/10000000000000000 (*.f64 (*.f64 y (pow.f64 (/.f64 (/.f64 1 x) x) 1/18)) (pow.f64 (/.f64 (/.f64 1 x) x) 1/18)) (cbrt.f64 x)) |
(fma.f64 230970199763963/10000000000000000 (*.f64 y (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18))) (cbrt.f64 x)) |
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 230970199763963/10000000000000000 (*.f64 y (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9))) (*.f64 -53347233179004973860913465369/100000000000000000000000000000000 (*.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9))))) |
(+.f64 (cbrt.f64 x) (fma.f64 230970199763963/10000000000000000 (*.f64 y (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18))) (*.f64 -53347233179004973860913465369/100000000000000000000000000000000 (*.f64 (*.f64 y y) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)))))) |
(+.f64 (fma.f64 230970199763963/10000000000000000 (*.f64 (*.f64 y (pow.f64 (/.f64 (/.f64 1 x) x) 1/18)) (pow.f64 (/.f64 (/.f64 1 x) x) 1/18)) (cbrt.f64 x)) (*.f64 (*.f64 y y) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)) -53347233179004973860913465369/100000000000000000000000000000000))) |
(+.f64 (fma.f64 230970199763963/10000000000000000 (*.f64 y (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18))) (cbrt.f64 x)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)) (*.f64 -53347233179004973860913465369/100000000000000000000000000000000 (*.f64 y y)))) |
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 230970199763963/10000000000000000 (*.f64 y (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9))) (+.f64 (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -36964863312628481207331474791287716524092041/500000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (*.f64 12321621104209493735777158263762572174697347/1000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)))) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (*.f64 -53347233179004973860913465369/100000000000000000000000000000000 (*.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9)))))) |
(+.f64 (cbrt.f64 x) (fma.f64 230970199763963/10000000000000000 (*.f64 y (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18))) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) -12321621104209493735777158263762572174697347/200000000000000000000000000000000000000000000000) (pow.f64 y 3))) (*.f64 -53347233179004973860913465369/100000000000000000000000000000000 (*.f64 (*.f64 y y) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18))))))) |
(+.f64 (fma.f64 230970199763963/10000000000000000 (*.f64 (*.f64 y (pow.f64 (/.f64 (/.f64 1 x) x) 1/18)) (pow.f64 (/.f64 (/.f64 1 x) x) 1/18)) (cbrt.f64 x)) (fma.f64 -53347233179004973860913465369/100000000000000000000000000000000 (*.f64 y (*.f64 y (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)))) (*.f64 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (*.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 x) x)) 12321621104209493735777158263762572174697347/600000000000000000000000000000000000000000000000) (pow.f64 y 3))))) |
(+.f64 (fma.f64 230970199763963/10000000000000000 (*.f64 y (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18))) (cbrt.f64 x)) (fma.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) 12321621104209493735777158263762572174697347/600000000000000000000000000000000000000000000000) (pow.f64 y 3)) (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)) (*.f64 -53347233179004973860913465369/100000000000000000000000000000000 (*.f64 y y))))) |
(*.f64 (cbrt.f64 692910599291889/10000000000000000) (pow.f64 y 1/3)) |
(*.f64 (cbrt.f64 692910599291889/10000000000000000) (cbrt.f64 y)) |
(+.f64 (*.f64 (cbrt.f64 692910599291889/10000000000000000) (pow.f64 y 1/3)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2)) 1/3) (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/9) x)))) |
(fma.f64 (cbrt.f64 692910599291889/10000000000000000) (cbrt.f64 y) (*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2))) (*.f64 x (*.f64 (pow.f64 (/.f64 1 (*.f64 y y)) 1/18) (pow.f64 (/.f64 1 (*.f64 y y)) 1/18)))))) |
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2))) (*.f64 x (*.f64 (pow.f64 (/.f64 1 (*.f64 y y)) 1/18) (pow.f64 (/.f64 1 (*.f64 y y)) 1/18)))) (*.f64 (cbrt.f64 692910599291889/10000000000000000) (cbrt.f64 y))) |
(fma.f64 1/3 (*.f64 x (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2))) (*.f64 (pow.f64 (/.f64 1 (*.f64 y y)) 1/18) (pow.f64 (/.f64 1 (*.f64 y y)) 1/18)))) (*.f64 (cbrt.f64 692910599291889/10000000000000000) (cbrt.f64 y))) |
(+.f64 (*.f64 (cbrt.f64 692910599291889/10000000000000000) (pow.f64 y 1/3)) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 7)) 1/3) (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/9) (pow.f64 x 2)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2)) 1/3) (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/9) x))))) |
(fma.f64 (cbrt.f64 692910599291889/10000000000000000) (cbrt.f64 y) (fma.f64 -1/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 7))) (*.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18)))) (*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2))) (*.f64 x (*.f64 (pow.f64 (/.f64 1 (*.f64 y y)) 1/18) (pow.f64 (/.f64 1 (*.f64 y y)) 1/18))))))) |
(fma.f64 (cbrt.f64 692910599291889/10000000000000000) (cbrt.f64 y) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2))) (*.f64 x (*.f64 (pow.f64 (/.f64 1 (*.f64 y y)) 1/18) (pow.f64 (/.f64 1 (*.f64 y y)) 1/18)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18) (*.f64 x x))) (*.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 7))))))) |
(fma.f64 (cbrt.f64 692910599291889/10000000000000000) (cbrt.f64 y) (fma.f64 1/3 (*.f64 x (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2))) (*.f64 (pow.f64 (/.f64 1 (*.f64 y y)) 1/18) (pow.f64 (/.f64 1 (*.f64 y y)) 1/18)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18))) (*.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 7))))))) |
(+.f64 (*.f64 (cbrt.f64 692910599291889/10000000000000000) (pow.f64 y 1/3)) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 7)) 1/3) (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/9) (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2)) 1/3) (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/9) x))) (*.f64 -1/3 (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2)) (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3))) (*.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2)) (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2)) (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)))))) |
(fma.f64 (cbrt.f64 692910599291889/10000000000000000) (cbrt.f64 y) (fma.f64 -1/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 7))) (*.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18)))) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2))) (*.f64 x (*.f64 (pow.f64 (/.f64 1 (*.f64 y y)) 1/18) (pow.f64 (/.f64 1 (*.f64 y y)) 1/18)))) (*.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 y y))) (/.f64 (*.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2)) (cbrt.f64 (/.f64 1 (*.f64 y y)))) -5/27) (/.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2) (pow.f64 x 3)))))))) |
(fma.f64 (cbrt.f64 692910599291889/10000000000000000) (cbrt.f64 y) (fma.f64 -1/9 (*.f64 (*.f64 x x) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 7))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18)))) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2))) (*.f64 x (*.f64 (pow.f64 (/.f64 1 (*.f64 y y)) 1/18) (pow.f64 (/.f64 1 (*.f64 y y)) 1/18)))) (*.f64 (cbrt.f64 (/.f64 1 (*.f64 y y))) (/.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 y y))) (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2)) 5/81) (/.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2) (pow.f64 x 3))))))) |
(fma.f64 (cbrt.f64 692910599291889/10000000000000000) (cbrt.f64 y) (fma.f64 -1/9 (*.f64 (*.f64 x x) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 7))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18)))) (fma.f64 1/3 (*.f64 x (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2))) (*.f64 (pow.f64 (/.f64 1 (*.f64 y y)) 1/18) (pow.f64 (/.f64 1 (*.f64 y y)) 1/18)))) (*.f64 (cbrt.f64 (/.f64 1 (*.f64 y y))) (*.f64 -1/3 (*.f64 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 y y))) -5/27) 692910599291889/10000000000000000) (/.f64 (pow.f64 x 3) (cbrt.f64 692910599291889/10000000000000000)))))))) |
Compiled 2600 to 2092 computations (19.5% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 97 | 5 | 102 |
| Fresh | 3 | 5 | 8 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 101 | 11 | 112 |
| Status | Error | Program |
|---|---|---|
| 19.0b | (fma.f64 y (pow.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3) 1/3) x) | |
| 22.9b | (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) | |
| 46.1b | (pow.f64 (*.f64 (cbrt.f64 692910599291889/10000000000000000) (cbrt.f64 y)) 3) | |
| 39.0b | (pow.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2) | |
| 48.2b | (/.f64 (+.f64 (pow.f64 (*.f64 y 692910599291889/10000000000000000) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 y 692910599291889/10000000000000000)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y 692910599291889/10000000000000000) x)))) | |
| ✓ | 11.8b | (fma.f64 y 692910599291889/10000000000000000 x) |
| 20.1b | (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) | |
| ▶ | 12.7b | (*.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) |
| 12.9b | (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2)) 3) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) | |
| 22.7b | (+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x)) | |
| 12.8b | (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2))) |
Compiled 393 to 297 computations (24.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (fma.f64 y 692910599291889/10000000000000000 x) | |
| ✓ | 0.3b | (*.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) |
| ✓ | 0.5b | (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2) |
| 0.6b | (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2) |
| 1.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2) |
| 1.0ms | y | @ | inf | (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2) |
| 1.0ms | x | @ | inf | (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2) |
| 1.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2) |
| 1× | batch-egg-rewrite |
| 659× | pow1_binary64 |
| 617× | add-log-exp_binary64 |
| 616× | log1p-expm1-u_binary64 |
| 616× | expm1-log1p-u_binary64 |
| 78× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 15 |
| 1 | 186 | 15 |
| 2 | 1757 | 15 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1/6) (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y 692910599291889/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 692910599291889/10000000000000000) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y 692910599291889/10000000000000000) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y 692910599291889/10000000000000000) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 y 692910599291889/10000000000000000)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y 692910599291889/10000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 y 692910599291889/10000000000000000)) (*.f64 x x)) (-.f64 (*.f64 y 692910599291889/10000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y 692910599291889/10000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 692910599291889/10000000000000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y 692910599291889/10000000000000000 x))))))) |
| 1× | egg-herbie |
| 493× | times-frac_binary64 |
| 427× | associate-*l*_binary64 |
| 398× | associate-*r*_binary64 |
| 380× | fma-def_binary64 |
| 306× | unswap-sqr_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 540 |
| 1 | 279 | 531 |
| 2 | 786 | 510 |
| 3 | 3642 | 510 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (pow.f64 x 2) 1/3) |
(+.f64 (*.f64 230970199763963/5000000000000000 (*.f64 y (pow.f64 x 1/9))) (pow.f64 (pow.f64 x 2) 1/3)) |
(+.f64 (*.f64 230970199763963/5000000000000000 (*.f64 y (pow.f64 x 1/9))) (+.f64 (*.f64 (+.f64 (*.f64 -53347233179004973860913465369/50000000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9)) (*.f64 53347233179004973860913465369/100000000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9))) (pow.f64 y 2)) (pow.f64 (pow.f64 x 2) 1/3))) |
(+.f64 (*.f64 230970199763963/5000000000000000 (*.f64 y (pow.f64 x 1/9))) (+.f64 (*.f64 (+.f64 (*.f64 -53347233179004973860913465369/50000000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9)) (*.f64 53347233179004973860913465369/100000000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9))) (pow.f64 y 2)) (+.f64 (pow.f64 (pow.f64 x 2) 1/3) (*.f64 (-.f64 (*.f64 -2/3 (*.f64 (+.f64 (*.f64 -36964863312628481207331474791287716524092041/500000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (*.f64 12321621104209493735777158263762572174697347/1000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (/.f64 1 x) 1/3))) (*.f64 12321621104209493735777158263762572174697347/500000000000000000000000000000000000000000000000 (/.f64 1 x))) (pow.f64 y 3))))) |
(*.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2) (pow.f64 (pow.f64 y 2) 1/3)) |
(+.f64 (*.f64 2/3 (*.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 1/3) (*.f64 (pow.f64 y 1/9) x))) (*.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2) (pow.f64 (pow.f64 y 2) 1/3))) |
(+.f64 (*.f64 2/3 (*.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 1/3) (*.f64 (pow.f64 y 1/9) x))) (+.f64 (*.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2) (pow.f64 (pow.f64 y 2) 1/3)) (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 4)) 1/3) (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/9))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 4)) 1/3) (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/9)))) (pow.f64 x 2)))) |
(+.f64 (*.f64 2/3 (*.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 1/3) (*.f64 (pow.f64 y 1/9) x))) (+.f64 (*.f64 (-.f64 (*.f64 -2/3 (*.f64 (/.f64 (+.f64 (*.f64 -2/9 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2)) (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3))) (*.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2)) (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)))) (cbrt.f64 692910599291889/10000000000000000)) (pow.f64 (/.f64 1 y) 1/3))) (*.f64 20000000000000000/18708586180881003 (/.f64 1 y))) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2) (pow.f64 (pow.f64 y 2) 1/3)) (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 4)) 1/3) (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/9))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 4)) 1/3) (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/9)))) (pow.f64 x 2))))) |
x |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(*.f64 692910599291889/10000000000000000 y) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(*.f64 692910599291889/10000000000000000 y) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(*.f64 692910599291889/10000000000000000 y) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
x |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
x |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
| Outputs |
|---|
(pow.f64 (pow.f64 x 2) 1/3) |
(cbrt.f64 (*.f64 x x)) |
(+.f64 (*.f64 230970199763963/5000000000000000 (*.f64 y (pow.f64 x 1/9))) (pow.f64 (pow.f64 x 2) 1/3)) |
(fma.f64 230970199763963/5000000000000000 (*.f64 y (*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18))) (cbrt.f64 (*.f64 x x))) |
(+.f64 (*.f64 230970199763963/5000000000000000 (*.f64 y (pow.f64 x 1/9))) (+.f64 (*.f64 (+.f64 (*.f64 -53347233179004973860913465369/50000000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9)) (*.f64 53347233179004973860913465369/100000000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9))) (pow.f64 y 2)) (pow.f64 (pow.f64 x 2) 1/3))) |
(fma.f64 230970199763963/5000000000000000 (*.f64 y (*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18))) (fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18)) -53347233179004973860913465369/100000000000000000000000000000000) (*.f64 y y) (cbrt.f64 (*.f64 x x)))) |
(fma.f64 230970199763963/5000000000000000 (*.f64 y (*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18))) (fma.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18)) (*.f64 (*.f64 y y) -53347233179004973860913465369/100000000000000000000000000000000) (cbrt.f64 (*.f64 x x)))) |
(+.f64 (*.f64 230970199763963/5000000000000000 (*.f64 y (pow.f64 x 1/9))) (+.f64 (*.f64 (+.f64 (*.f64 -53347233179004973860913465369/50000000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9)) (*.f64 53347233179004973860913465369/100000000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9))) (pow.f64 y 2)) (+.f64 (pow.f64 (pow.f64 x 2) 1/3) (*.f64 (-.f64 (*.f64 -2/3 (*.f64 (+.f64 (*.f64 -36964863312628481207331474791287716524092041/500000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3)) (*.f64 12321621104209493735777158263762572174697347/1000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (pow.f64 (/.f64 1 x) 1/3))) (*.f64 12321621104209493735777158263762572174697347/500000000000000000000000000000000000000000000000 (/.f64 1 x))) (pow.f64 y 3))))) |
(fma.f64 230970199763963/5000000000000000 (*.f64 y (*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18))) (+.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18)) -53347233179004973860913465369/100000000000000000000000000000000) (*.f64 y y) (cbrt.f64 (*.f64 x x))) (*.f64 (-.f64 (*.f64 (*.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) -12321621104209493735777158263762572174697347/200000000000000000000000000000000000000000000000)) (cbrt.f64 (/.f64 1 x))) (/.f64 12321621104209493735777158263762572174697347/500000000000000000000000000000000000000000000000 x)) (pow.f64 y 3)))) |
(fma.f64 230970199763963/5000000000000000 (*.f64 y (*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18))) (fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18)) -53347233179004973860913465369/100000000000000000000000000000000) (*.f64 y y) (fma.f64 (fma.f64 (*.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) -12321621104209493735777158263762572174697347/200000000000000000000000000000000000000000000000)) (cbrt.f64 (/.f64 1 x)) (/.f64 -12321621104209493735777158263762572174697347/500000000000000000000000000000000000000000000000 x)) (pow.f64 y 3) (cbrt.f64 (*.f64 x x))))) |
(fma.f64 230970199763963/5000000000000000 (*.f64 y (*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18))) (fma.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/18)) (*.f64 (*.f64 y y) -53347233179004973860913465369/100000000000000000000000000000000) (fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 x)) (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) 12321621104209493735777158263762572174697347/300000000000000000000000000000000000000000000000) (/.f64 -12321621104209493735777158263762572174697347/500000000000000000000000000000000000000000000000 x)) (pow.f64 y 3) (cbrt.f64 (*.f64 x x))))) |
(*.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2) (pow.f64 (pow.f64 y 2) 1/3)) |
(*.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2) (cbrt.f64 (*.f64 y y))) |
(+.f64 (*.f64 2/3 (*.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 1/3) (*.f64 (pow.f64 y 1/9) x))) (*.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2) (pow.f64 (pow.f64 y 2) 1/3))) |
(fma.f64 2/3 (*.f64 (cbrt.f64 (cbrt.f64 692910599291889/10000000000000000)) (*.f64 x (*.f64 (pow.f64 y 1/18) (pow.f64 y 1/18)))) (*.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2) (cbrt.f64 (*.f64 y y)))) |
(fma.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2) (cbrt.f64 (*.f64 y y)) (*.f64 (*.f64 2/3 (*.f64 x (*.f64 (pow.f64 y 1/18) (pow.f64 y 1/18)))) (cbrt.f64 (cbrt.f64 692910599291889/10000000000000000)))) |
(fma.f64 2/3 (*.f64 x (*.f64 (cbrt.f64 (cbrt.f64 692910599291889/10000000000000000)) (*.f64 (pow.f64 y 1/18) (pow.f64 y 1/18)))) (*.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2) (cbrt.f64 (*.f64 y y)))) |
(+.f64 (*.f64 2/3 (*.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 1/3) (*.f64 (pow.f64 y 1/9) x))) (+.f64 (*.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2) (pow.f64 (pow.f64 y 2) 1/3)) (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 4)) 1/3) (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/9))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 4)) 1/3) (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/9)))) (pow.f64 x 2)))) |
(fma.f64 2/3 (*.f64 (cbrt.f64 (cbrt.f64 692910599291889/10000000000000000)) (*.f64 x (*.f64 (pow.f64 y 1/18) (pow.f64 y 1/18)))) (fma.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2) (cbrt.f64 (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 4))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/18))) -1/9)))) |
(fma.f64 2/3 (*.f64 x (*.f64 (cbrt.f64 (cbrt.f64 692910599291889/10000000000000000)) (*.f64 (pow.f64 y 1/18) (pow.f64 y 1/18)))) (fma.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2) (cbrt.f64 (*.f64 y y)) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 4))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/18))) (*.f64 -1/9 (*.f64 x x))))) |
(fma.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2) (cbrt.f64 (*.f64 y y)) (*.f64 x (+.f64 (*.f64 (*.f64 (pow.f64 y 1/18) (pow.f64 y 1/18)) (*.f64 2/3 (cbrt.f64 (cbrt.f64 692910599291889/10000000000000000)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/18)) (*.f64 (*.f64 (cbrt.f64 (/.f64 10000000000000000/692910599291889 (cbrt.f64 692910599291889/10000000000000000))) -1/9) x))))) |
(+.f64 (*.f64 2/3 (*.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 1/3) (*.f64 (pow.f64 y 1/9) x))) (+.f64 (*.f64 (-.f64 (*.f64 -2/3 (*.f64 (/.f64 (+.f64 (*.f64 -2/9 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2)) (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3))) (*.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2)) (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/3)))) (cbrt.f64 692910599291889/10000000000000000)) (pow.f64 (/.f64 1 y) 1/3))) (*.f64 20000000000000000/18708586180881003 (/.f64 1 y))) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2) (pow.f64 (pow.f64 y 2) 1/3)) (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 4)) 1/3) (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/9))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 4)) 1/3) (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/9)))) (pow.f64 x 2))))) |
(fma.f64 2/3 (*.f64 (cbrt.f64 (cbrt.f64 692910599291889/10000000000000000)) (*.f64 x (*.f64 (pow.f64 y 1/18) (pow.f64 y 1/18)))) (fma.f64 (fma.f64 -2/3 (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 1 (cbrt.f64 (/.f64 1 (*.f64 y y)))) (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2)) -5/27) (cbrt.f64 692910599291889/10000000000000000)) (cbrt.f64 (/.f64 1 y))) (neg.f64 (/.f64 20000000000000000/18708586180881003 y))) (pow.f64 x 3) (fma.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2) (cbrt.f64 (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 4))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/18))) -1/9))))) |
(fma.f64 2/3 (*.f64 x (*.f64 (cbrt.f64 (cbrt.f64 692910599291889/10000000000000000)) (*.f64 (pow.f64 y 1/18) (pow.f64 y 1/18)))) (fma.f64 (fma.f64 -2/3 (/.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 y y))) (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2)) -5/27) (/.f64 (cbrt.f64 692910599291889/10000000000000000) (cbrt.f64 (/.f64 1 y)))) (/.f64 -20000000000000000/18708586180881003 y)) (pow.f64 x 3) (fma.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2) (cbrt.f64 (*.f64 y y)) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 4))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/18))) (*.f64 -1/9 (*.f64 x x)))))) |
(fma.f64 2/3 (*.f64 x (*.f64 (cbrt.f64 (cbrt.f64 692910599291889/10000000000000000)) (*.f64 (pow.f64 y 1/18) (pow.f64 y 1/18)))) (fma.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2) (cbrt.f64 (*.f64 y y)) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (fma.f64 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 y y))) -5/27) 692910599291889/10000000000000000) (*.f64 -2/3 (cbrt.f64 (/.f64 1 y))) (/.f64 -20000000000000000/18708586180881003 y))) (*.f64 (cbrt.f64 (/.f64 10000000000000000/692910599291889 (cbrt.f64 692910599291889/10000000000000000))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/18)) -1/9)))))) |
x |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
(fma.f64 y 692910599291889/10000000000000000 x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
(fma.f64 y 692910599291889/10000000000000000 x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
(fma.f64 y 692910599291889/10000000000000000 x) |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 y 692910599291889/10000000000000000) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
(fma.f64 y 692910599291889/10000000000000000 x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
(fma.f64 y 692910599291889/10000000000000000 x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
(fma.f64 y 692910599291889/10000000000000000 x) |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 y 692910599291889/10000000000000000) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
(fma.f64 y 692910599291889/10000000000000000 x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
(fma.f64 y 692910599291889/10000000000000000 x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
(fma.f64 y 692910599291889/10000000000000000 x) |
(*.f64 692910599291889/10000000000000000 y) |
(*.f64 y 692910599291889/10000000000000000) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
(fma.f64 y 692910599291889/10000000000000000 x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
(fma.f64 y 692910599291889/10000000000000000 x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
(fma.f64 y 692910599291889/10000000000000000 x) |
x |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
(fma.f64 y 692910599291889/10000000000000000 x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
(fma.f64 y 692910599291889/10000000000000000 x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
(fma.f64 y 692910599291889/10000000000000000 x) |
x |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
(fma.f64 y 692910599291889/10000000000000000 x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
(fma.f64 y 692910599291889/10000000000000000 x) |
(+.f64 (*.f64 692910599291889/10000000000000000 y) x) |
(fma.f64 692910599291889/10000000000000000 y x) |
(fma.f64 y 692910599291889/10000000000000000 x) |
Compiled 4208 to 3183 computations (24.4% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 175 | 2 | 177 |
| Fresh | 1 | 8 | 9 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 177 | 11 | 188 |
| Status | Error | Program |
|---|---|---|
| 19.0b | (fma.f64 y (pow.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3) 1/3) x) | |
| 22.9b | (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) | |
| 46.1b | (pow.f64 (*.f64 (cbrt.f64 692910599291889/10000000000000000) (cbrt.f64 y)) 3) | |
| 39.0b | (pow.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2) | |
| 12.7b | (*.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 3))) | |
| ✓ | 11.8b | (fma.f64 y 692910599291889/10000000000000000 x) |
| 20.1b | (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) | |
| 12.9b | (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2)) 3) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) | |
| 45.2b | (*.f64 (pow.f64 (*.f64 (cbrt.f64 692910599291889/10000000000000000) (cbrt.f64 y)) 2) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) | |
| 22.7b | (+.f64 (*.f64 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x)) | |
| 12.8b | (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2))) |
Compiled 189 to 145 computations (23.3% saved)
Total -63.1b remaining (-38437.9%)
Threshold costs -63.1b (-38437.9%)
| Inputs |
|---|
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 3))) |
(*.f64 (pow.f64 (*.f64 (cbrt.f64 692910599291889/10000000000000000) (cbrt.f64 y)) 2) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) |
(pow.f64 (*.f64 (cbrt.f64 692910599291889/10000000000000000) (cbrt.f64 y)) 3) |
(/.f64 (+.f64 (pow.f64 (*.f64 y 692910599291889/10000000000000000) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 y 692910599291889/10000000000000000)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y 692910599291889/10000000000000000) x)))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2)) 3) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y 692910599291889/10000000000000000) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 y 692910599291889/10000000000000000)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y 692910599291889/10000000000000000) x)))) |
(pow.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 3) |
(*.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2)) |
(fma.f64 y (pow.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3) 1/3) 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 279195317918525/3350343815022304 y) (+.f64 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x)) |
(fma.f64 y (/.f64 (fma.f64 z (*.f64 (cbrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (cbrt.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2))) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) |
(pow.f64 (sqrt.f64 (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)) 2) |
(fma.f64 y 692910599291889/10000000000000000 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 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 |
|---|
(fma.f64 y 692910599291889/10000000000000000 x) |
(fma.f64 y (/.f64 (fma.f64 z (*.f64 (cbrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (cbrt.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2))) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) |
(fma.f64 y 692910599291889/10000000000000000 x) |
| Time | Error | Segments | Branch |
| 52.0ms | 8.0b | 5 | x |
| 35.0ms | 9.2b | 4 | y |
| 43.0ms | 0.2b | 3 | z |
| 18.0ms | 0.2b | 2 | (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) |
| 19.0ms | 0.2b | 2 | (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) |
Compiled 367 to 262 computations (28.6% saved)
| 2× | binary-search |
| Time | Point | Range | ||||
|---|---|---|---|---|---|---|
| 30.0ms | 7548283.262859674 | ∈ [ | 7548283.262859674 | , | 69445117.73392063 | ] |
| 28.0ms | -15405975681818812.0 | ∈ [ | -15405975681818812.0 | , | -3322989778102166.0 | ] |
Compiled 30 to 23 computations (23.3% saved)
| 1× | egg-herbie |
| 1× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 59 |
| 1 | 30 | 59 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 z -15405975681818812) (fma.f64 y 692910599291889/10000000000000000 x) (if (<=.f64 z 32419629754926472/4294967296) (fma.f64 y (/.f64 (fma.f64 z (*.f64 (cbrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (cbrt.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2))) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) (fma.f64 y 692910599291889/10000000000000000 x))) |
| Outputs |
|---|
(if (<=.f64 z -15405975681818812) (fma.f64 y 692910599291889/10000000000000000 x) (if (<=.f64 z 32419629754926472/4294967296) (fma.f64 y (/.f64 (fma.f64 z (*.f64 (cbrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (cbrt.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2))) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) (fma.f64 y 692910599291889/10000000000000000 x))) |
(if (<=.f64 z -15405975681818812) (fma.f64 y 692910599291889/10000000000000000 x) (if (<=.f64 z 4052453719365809/536870912) (fma.f64 y (/.f64 (fma.f64 z (*.f64 (cbrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (cbrt.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2))) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) (fma.f64 y 692910599291889/10000000000000000 x))) |
| 1× | fuel |
Compiled 90 to 64 computations (28.9% saved)
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