Time bar (total: 3.3s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 0% | 100% | 0% | 3 |
| 50% | 50% | 0% | 4 |
| 75% | 25% | 0% | 5 |
| 87.5% | 12.5% | 0% | 6 |
| 93.7% | 6.2% | 0% | 7 |
| 96.8% | 3.1% | 0% | 8 |
| 98.4% | 1.6% | 0% | 9 |
| 99.2% | 0.8% | 0% | 10 |
| 99.6% | 0.4% | 0% | 11 |
| 99.8% | 0.2% | 0% | 12 |
| 99.9% | 0.1% | 0% | 13 |
| 99.9% | 0% | 0% | 14 |
Compiled 15 to 11 computations (26.7% saved)
| 646.0ms | 2096× | body | 1024 | valid |
| 412.0ms | 4366× | body | 128 | valid |
| 244.0ms | 1052× | body | 512 | valid |
| 98.0ms | 220× | body | 2048 | valid |
| 82.0ms | 522× | body | 256 | valid |
Compiled 30 to 22 computations (26.7% saved)
| 2× | egg-herbie |
| 859× | fma-neg_binary64 |
| 764× | fma-def_binary64 |
| 321× | div-sub_binary64 |
| 169× | associate-/l*_binary64 |
| 149× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 16 | 19 |
| 2 | 22 | 19 |
| 3 | 34 | 19 |
| 4 | 60 | 19 |
| 5 | 100 | 19 |
| 6 | 205 | 19 |
| 7 | 377 | 19 |
| 8 | 951 | 19 |
| 9 | 2127 | 19 |
| 10 | 2751 | 19 |
| 11 | 3062 | 19 |
| 12 | 3879 | 19 |
| 13 | 4173 | 19 |
| 14 | 4215 | 19 |
| 15 | 4217 | 19 |
| 16 | 4219 | 19 |
| 17 | 4229 | 19 |
| 18 | 4229 | 19 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| Outputs |
|---|
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 -1 x) (+.f64 x -1))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 1 x))) |
Compiled 14 to 10 computations (28.6% saved)
| 1× | egg-herbie |
| 859× | fma-neg_binary64 |
| 764× | fma-def_binary64 |
| 321× | div-sub_binary64 |
| 169× | associate-/l*_binary64 |
| 149× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 16 | 19 |
| 2 | 22 | 19 |
| 3 | 34 | 19 |
| 4 | 60 | 19 |
| 5 | 100 | 19 |
| 6 | 205 | 19 |
| 7 | 377 | 19 |
| 8 | 951 | 19 |
| 9 | 2127 | 19 |
| 10 | 2751 | 19 |
| 11 | 3062 | 19 |
| 12 | 3879 | 19 |
| 13 | 4173 | 19 |
| 14 | 4215 | 19 |
| 15 | 4217 | 19 |
| 16 | 4219 | 19 |
| 17 | 4229 | 19 |
| 18 | 4229 | 19 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| Outputs |
|---|
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 -1 x) (+.f64 x -1))) |
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 1 x))) |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 2 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 34.0b | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
Compiled 55 to 39 computations (29.1% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 x 1) (-.f64 x 1)) |
| ✓ | 0.0b | (/.f64 x (+.f64 x 1)) |
| ✓ | 3.3b | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 1.0ms | x | @ | 0 | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 1.0ms | x | @ | -inf | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 x 1) (-.f64 x 1)) |
| 0.0ms | x | @ | 0 | (/.f64 (+.f64 x 1) (-.f64 x 1)) |
| 1× | batch-egg-rewrite |
| 470× | fma-def_binary64 |
| 286× | fma-neg_binary64 |
| 267× | log-div_binary64 |
| 174× | expm1-udef_binary64 |
| 174× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 36 |
| 1 | 195 | 36 |
| 2 | 3222 | 36 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
(/.f64 x (+.f64 x 1)) |
(/.f64 (+.f64 x 1) (-.f64 x 1)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 405× | fma-neg_binary64 |
| 344× | cancel-sign-sub-inv_binary64 |
| 289× | associate-*l*_binary64 |
| 287× | fma-def_binary64 |
| 232× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 475 |
| 1 | 204 | 443 |
| 2 | 626 | 430 |
| 3 | 1939 | 428 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 3 x)) |
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 3 x))) |
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 3 x) (*.f64 3 (pow.f64 x 3))))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))) |
x |
(-.f64 x (pow.f64 x 2)) |
(-.f64 (+.f64 (pow.f64 x 3) x) (pow.f64 x 2)) |
(-.f64 (+.f64 (pow.f64 x 3) x) (+.f64 (pow.f64 x 4) (pow.f64 x 2))) |
1 |
(-.f64 1 (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
1 |
(-.f64 1 (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 x))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x)))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3)))))) |
1 |
(+.f64 1 (*.f64 2 (/.f64 1 x))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
1 |
(+.f64 1 (*.f64 2 (/.f64 1 x))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 3 x)) |
(fma.f64 3 x 1) |
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 3 x))) |
(+.f64 1 (+.f64 (*.f64 3 x) (*.f64 x x))) |
(+.f64 1 (*.f64 x (+.f64 3 x))) |
(fma.f64 x (+.f64 3 x) 1) |
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 3 x) (*.f64 3 (pow.f64 x 3))))) |
(+.f64 1 (+.f64 (*.f64 x x) (*.f64 3 (+.f64 x (pow.f64 x 3))))) |
(+.f64 1 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (*.f64 x x))) |
(fma.f64 x (+.f64 3 x) (fma.f64 3 (pow.f64 x 3) 1)) |
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1)) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (/.f64 3 x) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 -3 x) (/.f64 -1 (*.f64 x x))) |
(+.f64 (/.f64 -3 x) (/.f64 (/.f64 -1 x) x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))) |
(-.f64 (/.f64 -3 x) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -3 x) (/.f64 (/.f64 -1 x) x)) (/.f64 -3 (pow.f64 x 3))) |
(+.f64 (/.f64 -3 x) (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (-.f64 (/.f64 -3 x) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 3 (pow.f64 x 3)))) (/.f64 -1 (pow.f64 x 4))) |
(+.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 (pow.f64 x 3))) (+.f64 (/.f64 -3 x) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (/.f64 -3 x) (+.f64 (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (/.f64 3 x) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 -3 x) (/.f64 -1 (*.f64 x x))) |
(+.f64 (/.f64 -3 x) (/.f64 (/.f64 -1 x) x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))) |
(-.f64 (/.f64 -3 x) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -3 x) (/.f64 (/.f64 -1 x) x)) (/.f64 -3 (pow.f64 x 3))) |
(+.f64 (/.f64 -3 x) (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (-.f64 (/.f64 -3 x) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 3 (pow.f64 x 3)))) (/.f64 -1 (pow.f64 x 4))) |
(+.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 (pow.f64 x 3))) (+.f64 (/.f64 -3 x) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (/.f64 -3 x) (+.f64 (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4)))) |
x |
(-.f64 x (pow.f64 x 2)) |
(-.f64 x (*.f64 x x)) |
(fma.f64 x (neg.f64 x) x) |
(-.f64 (+.f64 (pow.f64 x 3) x) (pow.f64 x 2)) |
(-.f64 (+.f64 x (pow.f64 x 3)) (*.f64 x x)) |
(*.f64 x (-.f64 (fma.f64 x x 1) x)) |
(-.f64 (+.f64 (pow.f64 x 3) x) (+.f64 (pow.f64 x 4) (pow.f64 x 2))) |
(-.f64 (+.f64 x (pow.f64 x 3)) (+.f64 (*.f64 x x) (pow.f64 x 4))) |
(+.f64 x (-.f64 (pow.f64 x 3) (fma.f64 x x (pow.f64 x 4)))) |
(*.f64 (fma.f64 x x 1) (fma.f64 x (neg.f64 x) x)) |
(*.f64 (fma.f64 x x 1) (-.f64 x (*.f64 x x))) |
1 |
(-.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 -1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))) |
(+.f64 1 (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 x))) |
(+.f64 (+.f64 1 (/.f64 (/.f64 1 x) x)) (/.f64 -1 x)) |
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 x))) (/.f64 1 (pow.f64 x 3))) |
(+.f64 1 (+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))) |
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3))))) |
1 |
(-.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 -1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))) |
(+.f64 1 (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 x))) |
(+.f64 (+.f64 1 (/.f64 (/.f64 1 x) x)) (/.f64 -1 x)) |
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))) (/.f64 1 (pow.f64 x 3))) |
(-.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 x))) (/.f64 1 (pow.f64 x 3))) |
(+.f64 1 (+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))) |
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3))))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 x))) |
(+.f64 -1 (neg.f64 (*.f64 x 2))) |
(-.f64 -1 (*.f64 x 2)) |
(fma.f64 x -2 -1) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x)))) |
(+.f64 -1 (neg.f64 (*.f64 2 (+.f64 (*.f64 x x) x)))) |
(-.f64 -1 (*.f64 2 (fma.f64 x x x))) |
(fma.f64 -2 (fma.f64 x x x) -1) |
(fma.f64 (fma.f64 x x x) -2 -1) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3)))))) |
(+.f64 -1 (neg.f64 (fma.f64 2 (*.f64 x x) (*.f64 2 (+.f64 x (pow.f64 x 3)))))) |
(-.f64 -1 (*.f64 2 (+.f64 (fma.f64 x x x) (pow.f64 x 3)))) |
(+.f64 -1 (*.f64 -2 (+.f64 (pow.f64 x 3) (fma.f64 x x x)))) |
(fma.f64 -2 (+.f64 (pow.f64 x 3) (fma.f64 x x x)) -1) |
1 |
(+.f64 1 (*.f64 2 (/.f64 1 x))) |
(+.f64 1 (/.f64 2 x)) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (+.f64 1 (/.f64 2 x)) (/.f64 2 (*.f64 x x))) |
(+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))) |
(+.f64 (+.f64 1 (/.f64 2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))) |
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (*.f64 x x))))) |
1 |
(+.f64 1 (*.f64 2 (/.f64 1 x))) |
(+.f64 1 (/.f64 2 x)) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (+.f64 1 (/.f64 2 x)) (/.f64 2 (*.f64 x x))) |
(+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))) |
(+.f64 (+.f64 1 (/.f64 2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))) |
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (*.f64 x x))))) |
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 245 | 5 | 250 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 246 | 5 | 251 |
| Status | Error | Program |
|---|---|---|
| ▶ | 27.1b | (+.f64 (/.f64 -3 x) (+.f64 (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4)))) |
| 27.3b | (neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))) | |
| 35.3b | (/.f64 (-.f64 (-.f64 (*.f64 x x) x) (pow.f64 (+.f64 x 1) 2)) (fma.f64 x x -1)) | |
| 37.1b | (+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 3 x) (*.f64 3 (pow.f64 x 3))))) | |
| 34.5b | (exp.f64 (log.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))))) |
Compiled 6186 to 4563 computations (26.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (/.f64 -1 x) x) |
| ✓ | 0.3b | (/.f64 3 (pow.f64 x 3)) |
| ✓ | 4.2b | (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3))) |
| ✓ | 7.5b | (+.f64 (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (+.f64 (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4))) |
| 1.0ms | x | @ | 0 | (/.f64 3 (pow.f64 x 3)) |
| 1.0ms | x | @ | 0 | (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3))) |
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 -1 x) x) |
| 0.0ms | x | @ | -inf | (/.f64 3 (pow.f64 x 3)) |
| 1× | batch-egg-rewrite |
| 263× | log1p-udef_binary64 |
| 156× | add-sqr-sqrt_binary64 |
| 152× | pow1_binary64 |
| 150× | *-un-lft-identity_binary64 |
| 150× | add-log-exp_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 55 |
| 1 | 319 | 49 |
| 2 | 4824 | 49 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4))) |
(-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3))) |
(/.f64 3 (pow.f64 x 3)) |
(/.f64 (/.f64 -1 x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (pow.f64 x -4)) (+.f64 (*.f64 3 (pow.f64 x -3)) (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (sqrt.f64 (pow.f64 x -4)) (+.f64 (*.f64 3 (pow.f64 x -3)) (pow.f64 x -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (pow.f64 x -4)) (*.f64 -3 (pow.f64 x -3))) 2) (+.f64 (+.f64 (sqrt.f64 (pow.f64 x -4)) (*.f64 -3 (pow.f64 x -3))) (pow.f64 x -4))) (/.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (+.f64 (sqrt.f64 (pow.f64 x -4)) (*.f64 -3 (pow.f64 x -3))) (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (neg.f64 (pow.f64 x -4)) (sqrt.f64 (pow.f64 x -4))) (*.f64 3 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 (pow.f64 x -4)) (+.f64 (*.f64 3 (pow.f64 x -3)) (pow.f64 x -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (sqrt.f64 (pow.f64 x -4)) (+.f64 (*.f64 3 (pow.f64 x -3)) (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (sqrt.f64 (pow.f64 x -4)) (+.f64 (*.f64 3 (pow.f64 x -3)) (pow.f64 x -4)))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (pow.f64 x -4)) (+.f64 (*.f64 3 (pow.f64 x -3)) (pow.f64 x -4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (pow.f64 x -4)) (+.f64 (*.f64 3 (pow.f64 x -3)) (pow.f64 x -4)))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (pow.f64 x -4)) (+.f64 (*.f64 3 (pow.f64 x -3)) (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (sqrt.f64 (pow.f64 x -4)) (+.f64 (*.f64 3 (pow.f64 x -3)) (pow.f64 x -4)))) (sqrt.f64 (-.f64 (sqrt.f64 (pow.f64 x -4)) (+.f64 (*.f64 3 (pow.f64 x -3)) (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 (pow.f64 x -4)) (*.f64 -3 (pow.f64 x -3))) 3) (pow.f64 (neg.f64 (pow.f64 x -4)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sqrt.f64 (pow.f64 x -4)) (*.f64 -3 (pow.f64 x -3))) 2) (*.f64 (neg.f64 (pow.f64 x -4)) (-.f64 (neg.f64 (pow.f64 x -4)) (+.f64 (sqrt.f64 (pow.f64 x -4)) (*.f64 -3 (pow.f64 x -3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (pow.f64 x -4)) (*.f64 -3 (pow.f64 x -3))) 2) (/.f64 1 (pow.f64 x 8))) (/.f64 1 (+.f64 (+.f64 (sqrt.f64 (pow.f64 x -4)) (*.f64 -3 (pow.f64 x -3))) (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (sqrt.f64 (pow.f64 x -4)) (*.f64 -3 (pow.f64 x -3))) 2) (*.f64 (neg.f64 (pow.f64 x -4)) (-.f64 (neg.f64 (pow.f64 x -4)) (+.f64 (sqrt.f64 (pow.f64 x -4)) (*.f64 -3 (pow.f64 x -3)))))) (+.f64 (pow.f64 (+.f64 (sqrt.f64 (pow.f64 x -4)) (*.f64 -3 (pow.f64 x -3))) 3) (pow.f64 (neg.f64 (pow.f64 x -4)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 (sqrt.f64 (pow.f64 x -4)) (*.f64 -3 (pow.f64 x -3))) (pow.f64 x -4)) (-.f64 (pow.f64 (+.f64 (sqrt.f64 (pow.f64 x -4)) (*.f64 -3 (pow.f64 x -3))) 2) (/.f64 1 (pow.f64 x 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(*.f64 x x) (pow.f64 x 3)))) (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x -4) (/.f64 9 (pow.f64 x 6)))) (neg.f64 (+.f64 (sqrt.f64 (pow.f64 x -4)) (*.f64 3 (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 (pow.f64 x 3)) (*.f64 (*.f64 x x) 3)) (*.f64 (*.f64 x x) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (*.f64 (*.f64 x (*.f64 x -1)) 3)) (*.f64 (*.f64 x (*.f64 x -1)) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 1 x) (pow.f64 x 3)) (*.f64 (neg.f64 x) 3)) (*.f64 (neg.f64 x) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 x 3) 1/3)) (*.f64 (*.f64 x x) 1)) (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 3) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 -1 x) (*.f64 (pow.f64 x 3) 1/3)) x) (*.f64 x (*.f64 (pow.f64 x 3) 1/3)))))) (#(struct:change #<rule egg-rr> 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((x /.f64 (+.f64 (/.f64 -1 (pow.f64 x 6)) (pow.f64 (*.f64 -3 (pow.f64 x -3)) 3)) (+.f64 (pow.f64 x -4) (-.f64 (*.f64 (*.f64 -3 (pow.f64 x -3)) (*.f64 -3 (pow.f64 x -3))) (*.f64 (sqrt.f64 (pow.f64 x -4)) (*.f64 -3 (pow.f64 x -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -4) (*.f64 (*.f64 -3 (pow.f64 x -3)) (*.f64 -3 (pow.f64 x -3)))) (-.f64 (sqrt.f64 (pow.f64 x -4)) (*.f64 -3 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x 3) (neg.f64 x)) (*.f64 x 3)) x) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sqrt.f64 (pow.f64 x -4)) (*.f64 -3 (pow.f64 x -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (pow.f64 x -4)) (*.f64 -3 (pow.f64 x -3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (pow.f64 x -4)) (*.f64 -3 (pow.f64 x -3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (sqrt.f64 (pow.f64 x -4)) (*.f64 -3 (pow.f64 x -3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (pow.f64 x -4)) (*.f64 -3 (pow.f64 x -3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (sqrt.f64 (pow.f64 x -4)) (*.f64 -3 (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (pow.f64 x -4)) (*.f64 -3 (pow.f64 x -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (pow.f64 x -4)) (*.f64 -3 (pow.f64 x -3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (pow.f64 x -4)) (*.f64 -3 (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (sqrt.f64 (pow.f64 x -4)) (*.f64 -3 (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (pow.f64 x -4)) (*.f64 -3 (pow.f64 x -3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 x) (/.f64 1 x) (*.f64 -3 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (pow.f64 x -4)) (*.f64 -3 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (sqrt.f64 (pow.f64 x -4))) (*.f64 -3 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 -1) x) (*.f64 -3 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (pow.f64 x -4)) (*.f64 -3 (pow.f64 x -3))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3 (pow.f64 x -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (pow.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 3 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 3) x) (pow.f64 (/.f64 (cbrt.f64 3) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (cbrt.f64 3) x) 2) (/.f64 (cbrt.f64 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 3) (pow.f64 x 3/2)) (/.f64 (sqrt.f64 3) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -3 (/.f64 1 (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -3) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (pow.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 3) x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 3) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 27 (pow.f64 (pow.f64 x -3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 1/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 9 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 27 (pow.f64 (pow.f64 x -3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (pow.f64 x -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (pow.f64 x -3)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (pow.f64 x -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 x -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (pow.f64 x -4))) (cbrt.f64 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (pow.f64 x -4))) (/.f64 (/.f64 1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (sqrt.f64 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (*.f64 (/.f64 -1 (cbrt.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 x)) (*.f64 (sqrt.f64 (/.f64 -1 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) 1) (/.f64 (/.f64 -1 (cbrt.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) 1) (/.f64 (sqrt.f64 (/.f64 -1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 -1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (sqrt.f64 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 -1 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 -1 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (sqrt.f64 x)) (/.f64 (/.f64 -1 (cbrt.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 x -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (pow.f64 x -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -1) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (pow.f64 x 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 -1 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 x -4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (pow.f64 x -4)))))))) |
| 1× | egg-herbie |
| 575× | times-frac_binary64 |
| 381× | associate-/l/_binary64 |
| 329× | associate-*l*_binary64 |
| 304× | associate-*l/_binary64 |
| 281× | fma-neg_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 504 |
| 1 | 59 | 468 |
| 2 | 150 | 468 |
| 3 | 407 | 468 |
| 4 | 1290 | 456 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 (pow.f64 x 4)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) |
(/.f64 -1 (pow.f64 x 2)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) |
(/.f64 -1 (pow.f64 x 2)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) |
(/.f64 -3 (pow.f64 x 3)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))) |
(/.f64 -1 (pow.f64 x 2)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))) |
(/.f64 -1 (pow.f64 x 2)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
| Outputs |
|---|
(/.f64 -1 (pow.f64 x 4)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -3 (pow.f64 x 3))) |
(-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) |
(fma.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 x) -3) (/.f64 -1 (*.f64 x x))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) |
(fma.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 x) -3) (/.f64 -1 (*.f64 x x))) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) |
(fma.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 x) -3) (/.f64 -1 (*.f64 x x))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) |
(fma.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 x) -3) (/.f64 -1 (*.f64 x x))) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) |
(fma.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 x) -3) (/.f64 -1 (*.f64 x x))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) |
(fma.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 x) -3) (/.f64 -1 (*.f64 x x))) |
(/.f64 -3 (pow.f64 x 3)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 184 | 0 | 184 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 184 | 5 | 189 |
| Status | Error | Program |
|---|---|---|
| ✓ | 27.1b | (+.f64 (/.f64 -3 x) (+.f64 (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4)))) |
| ▶ | 27.3b | (neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))) |
| 35.3b | (/.f64 (-.f64 (-.f64 (*.f64 x x) x) (pow.f64 (+.f64 x 1) 2)) (fma.f64 x x -1)) | |
| 37.1b | (+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 3 x) (*.f64 3 (pow.f64 x 3))))) | |
| 34.5b | (exp.f64 (log.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))))) |
Compiled 5576 to 4381 computations (21.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 3 (/.f64 1 x)) |
| ✓ | 0.5b | (/.f64 1 (pow.f64 x 2)) |
| ✓ | 5.3b | (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))) |
| ✓ | 6.0b | (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) |
| 1.0ms | x | @ | 0 | (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) |
| 0.0ms | x | @ | inf | (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) |
| 0.0ms | x | @ | inf | (*.f64 3 (/.f64 1 x)) |
| 0.0ms | x | @ | -inf | (*.f64 3 (/.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 203× | add-sqr-sqrt_binary64 |
| 196× | pow1_binary64 |
| 193× | *-un-lft-identity_binary64 |
| 193× | add-log-exp_binary64 |
| 193× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 42 |
| 1 | 432 | 42 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))) |
(/.f64 1 (pow.f64 x 2)) |
(*.f64 3 (/.f64 1 x)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -8))) (sqrt.f64 (cbrt.f64 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x x)) -2) (pow.f64 (cbrt.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) -2) (pow.f64 (sqrt.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) -1) (pow.f64 (cbrt.f64 (*.f64 x x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 4) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 x -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -2 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -2 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 3 x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 3 (/.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -3 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x -3) 27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x -3) 27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 3 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 3 x))))))) |
| 1× | egg-herbie |
| 662× | associate-/r/_binary64 |
| 599× | fma-def_binary64 |
| 332× | associate-/r*_binary64 |
| 306× | associate-*l*_binary64 |
| 303× | *-commutative_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 195 |
| 1 | 51 | 195 |
| 2 | 97 | 195 |
| 3 | 186 | 195 |
| 4 | 506 | 189 |
| 5 | 2753 | 186 |
| 6 | 4189 | 186 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (pow.f64 x 4)) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))) |
(/.f64 3 x) |
(+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))) |
(/.f64 3 x) |
(+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))) |
(/.f64 3 (pow.f64 x 3)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
| Outputs |
|---|
(/.f64 1 (pow.f64 x 4)) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 3 (pow.f64 x 3))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x)))) |
(fma.f64 (+.f64 1 (/.f64 3 x)) (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x))) |
(/.f64 3 x) |
(+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) |
(+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 3 x)) |
(+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 3 x))) |
(fma.f64 (+.f64 1 (/.f64 3 x)) (/.f64 1 (*.f64 x x)) (/.f64 3 x)) |
(+.f64 (/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x)) (/.f64 3 x)) |
(/.f64 3 x) |
(+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) |
(+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 3 x)) |
(+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 3 x))) |
(fma.f64 (+.f64 1 (/.f64 3 x)) (/.f64 1 (*.f64 x x)) (/.f64 3 x)) |
(+.f64 (/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x)) (/.f64 3 x)) |
(/.f64 3 (pow.f64 x 3)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
6 alts after pruning (4 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 137 | 1 | 138 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 137 | 6 | 143 |
| Status | Error | Program |
|---|---|---|
| ▶ | 34.5b | (exp.f64 (log.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))))) |
| 43.6b | (neg.f64 (pow.f64 (sqrt.f64 (+.f64 (+.f64 (pow.f64 x -4) (/.f64 3 x)) (fma.f64 3 (pow.f64 x -3) (pow.f64 x -2)))) 2)) | |
| ✓ | 27.1b | (+.f64 (/.f64 -3 x) (+.f64 (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4)))) |
| ✓ | 27.3b | (neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))) |
| 35.3b | (/.f64 (-.f64 (-.f64 (*.f64 x x) x) (pow.f64 (+.f64 x 1) 2)) (fma.f64 x x -1)) | |
| 37.1b | (+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 3 x) (*.f64 3 (pow.f64 x 3))))) |
Compiled 4485 to 3585 computations (20.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 x (+.f64 x 1)) | |
| ✓ | 0.1b | (exp.f64 (log.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))))) |
| ✓ | 1.5b | (log.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))) |
| ✓ | 3.3b | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (log.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))) |
| 0.0ms | x | @ | inf | (log.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))) |
| 0.0ms | x | @ | -inf | (log.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))) |
| 0.0ms | x | @ | 0 | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) |
| 0.0ms | x | @ | 0 | (exp.f64 (log.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))))) |
| 1× | batch-egg-rewrite |
| 489× | fma-def_binary64 |
| 290× | fma-neg_binary64 |
| 196× | expm1-udef_binary64 |
| 196× | log1p-udef_binary64 |
| 138× | egg-rr |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 59 |
| 1 | 236 | 59 |
| 2 | 3576 | 59 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) |
(log.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))) |
(exp.f64 (log.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 x 1)) (/.f64 (fma.f64 x -1 -1) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 (fma.f64 x -1 -1) (+.f64 x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) (fma.f64 (/.f64 (fma.f64 x -1 -1) (+.f64 x -1)) 1 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1))) (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 2) (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) (+.f64 (/.f64 (fma.f64 x -1 -1) (+.f64 x -1)) (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 x -1 -1) (+.f64 x -1)) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))) 2) (cbrt.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))) (sqrt.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (-.f64 (*.f64 x x) x) (pow.f64 (+.f64 x 1) 2)) (/.f64 1 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2)) (/.f64 (*.f64 x (+.f64 x 1)) (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2)) (/.f64 1 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (-.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x -1) (-.f64 (-.f64 (*.f64 x x) x) (pow.f64 (+.f64 x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2)) (/.f64 (*.f64 x (+.f64 x 1)) (fma.f64 x x -1))) (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (*.f64 x x) x) (pow.f64 (+.f64 x 1) 2)) (fma.f64 x x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3)) (+.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2)) (/.f64 (*.f64 x (+.f64 x 1)) (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 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1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 1))) (/.f64 (fma.f64 x -1 -1) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 1))) (*.f64 (/.f64 (fma.f64 x -1 -1) (+.f64 x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 x (+.f64 x 1))) (/.f64 (fma.f64 x -1 -1) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 x (+.f64 x 1))) (*.f64 (/.f64 (fma.f64 x -1 -1) (+.f64 x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x 1))) (/.f64 (fma.f64 x -1 -1) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x 1))) (*.f64 (/.f64 (fma.f64 x -1 -1) (+.f64 x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (sqrt.f64 (+.f64 x 1))) (/.f64 (fma.f64 x -1 -1) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (sqrt.f64 (+.f64 x 1))) (*.f64 (/.f64 (fma.f64 x -1 -1) (+.f64 x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x 1))) (/.f64 (fma.f64 x -1 -1) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x 1))) (*.f64 (/.f64 (fma.f64 x -1 -1) (+.f64 x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (-.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (fma.f64 (/.f64 (fma.f64 x -1 -1) (+.f64 x -1)) 1 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (-.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1))) (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (-.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 2) (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (-.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (+.f64 (/.f64 (fma.f64 x -1 -1) (+.f64 x -1)) (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)) (/.f64 (fma.f64 x -1 -1) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)) (*.f64 (/.f64 (fma.f64 x -1 -1) (+.f64 x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x -1) (/.f64 (fma.f64 x -1 -1) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x -1) (*.f64 (/.f64 (fma.f64 x -1 -1) (+.f64 x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))))))))) |
| 1× | egg-herbie |
| 283× | fma-neg_binary64 |
| 276× | cancel-sign-sub-inv_binary64 |
| 252× | associate-*l*_binary64 |
| 249× | fma-def_binary64 |
| 228× | associate-+l+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 622 |
| 1 | 213 | 572 |
| 2 | 636 | 560 |
| 3 | 2140 | 554 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 3 x)) |
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 3 x))) |
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 3 x) (*.f64 3 (pow.f64 x 3))))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))) |
(*.f64 3 x) |
(-.f64 (*.f64 3 x) (*.f64 7/2 (pow.f64 x 2))) |
(-.f64 (+.f64 (*.f64 9 (pow.f64 x 3)) (*.f64 3 x)) (*.f64 7/2 (pow.f64 x 2))) |
(-.f64 (+.f64 (*.f64 9 (pow.f64 x 3)) (*.f64 3 x)) (+.f64 (*.f64 79/4 (pow.f64 x 4)) (*.f64 7/2 (pow.f64 x 2)))) |
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 -3)) |
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (*.f64 1/3 (/.f64 1 x)) (log.f64 -3))) |
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (*.f64 1/3 (/.f64 1 x)) (+.f64 (log.f64 -3) (*.f64 17/18 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (*.f64 1/3 (/.f64 1 x)) (+.f64 (log.f64 -3) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (*.f64 17/18 (/.f64 1 (pow.f64 x 2))))))) |
(+.f64 (log.f64 3) (log.f64 (/.f64 -1 x))) |
(+.f64 (log.f64 3) (+.f64 (*.f64 1/3 (/.f64 1 x)) (log.f64 (/.f64 -1 x)))) |
(+.f64 (log.f64 3) (+.f64 (*.f64 1/3 (/.f64 1 x)) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 17/18 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 (log.f64 3) (+.f64 (*.f64 1/3 (/.f64 1 x)) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (*.f64 17/18 (/.f64 1 (pow.f64 x 2))))))) |
1 |
(+.f64 1 (*.f64 3 x)) |
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 3 x))) |
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 3 x) (*.f64 3 (pow.f64 x 3))))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 3 x)) |
(fma.f64 3 x 1) |
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 3 x))) |
(+.f64 (+.f64 1 (*.f64 x x)) (*.f64 3 x)) |
(+.f64 1 (*.f64 x (+.f64 x 3))) |
(fma.f64 x (+.f64 3 x) 1) |
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 3 x) (*.f64 3 (pow.f64 x 3))))) |
(+.f64 (+.f64 1 (*.f64 x x)) (*.f64 3 (+.f64 x (pow.f64 x 3)))) |
(+.f64 1 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (*.f64 x x))) |
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1)) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (/.f64 3 x) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 -3 x) (/.f64 -1 (*.f64 x x))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))) |
(-.f64 (/.f64 -3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -3 x) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -3 x) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (-.f64 (/.f64 -3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) (/.f64 -1 (pow.f64 x 4))) |
(+.f64 (/.f64 -3 x) (-.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 -3 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -3 x)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (/.f64 3 x) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 -3 x) (/.f64 -1 (*.f64 x x))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))) |
(-.f64 (/.f64 -3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -3 x) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -3 x) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (-.f64 (/.f64 -3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) (/.f64 -1 (pow.f64 x 4))) |
(+.f64 (/.f64 -3 x) (-.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 -3 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -3 x)))) |
(*.f64 3 x) |
(-.f64 (*.f64 3 x) (*.f64 7/2 (pow.f64 x 2))) |
(+.f64 (*.f64 3 x) (*.f64 -7/2 (*.f64 x x))) |
(fma.f64 3 x (*.f64 (*.f64 x x) -7/2)) |
(*.f64 x (-.f64 3 (*.f64 x 7/2))) |
(*.f64 x (+.f64 3 (*.f64 x -7/2))) |
(-.f64 (+.f64 (*.f64 9 (pow.f64 x 3)) (*.f64 3 x)) (*.f64 7/2 (pow.f64 x 2))) |
(-.f64 (fma.f64 9 (pow.f64 x 3) (*.f64 3 x)) (*.f64 (*.f64 x x) 7/2)) |
(fma.f64 (pow.f64 x 3) 9 (fma.f64 3 x (*.f64 (*.f64 x x) -7/2))) |
(fma.f64 3 x (*.f64 (*.f64 x x) (-.f64 (*.f64 x 9) 7/2))) |
(*.f64 x (+.f64 3 (*.f64 x (fma.f64 x 9 -7/2)))) |
(-.f64 (+.f64 (*.f64 9 (pow.f64 x 3)) (*.f64 3 x)) (+.f64 (*.f64 79/4 (pow.f64 x 4)) (*.f64 7/2 (pow.f64 x 2)))) |
(-.f64 (fma.f64 9 (pow.f64 x 3) (*.f64 3 x)) (fma.f64 79/4 (pow.f64 x 4) (*.f64 (*.f64 x x) 7/2))) |
(-.f64 (fma.f64 3 x (*.f64 (pow.f64 x 3) 9)) (fma.f64 (*.f64 x x) 7/2 (*.f64 (pow.f64 x 4) 79/4))) |
(fma.f64 (pow.f64 x 3) 9 (fma.f64 3 x (fma.f64 (*.f64 x x) -7/2 (*.f64 (pow.f64 x 4) -79/4)))) |
(fma.f64 3 x (fma.f64 (*.f64 x x) (fma.f64 x 9 -7/2) (*.f64 (pow.f64 x 4) -79/4))) |
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 -3)) |
(+.f64 (neg.f64 (log.f64 x)) (log.f64 -3)) |
(-.f64 (log.f64 -3) (log.f64 x)) |
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (*.f64 1/3 (/.f64 1 x)) (log.f64 -3))) |
(+.f64 (neg.f64 (log.f64 x)) (+.f64 (log.f64 -3) (/.f64 1/3 x))) |
(+.f64 (/.f64 1/3 x) (-.f64 (log.f64 -3) (log.f64 x))) |
(+.f64 (log.f64 -3) (-.f64 (/.f64 1/3 x) (log.f64 x))) |
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (*.f64 1/3 (/.f64 1 x)) (+.f64 (log.f64 -3) (*.f64 17/18 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1/3 x) (+.f64 (log.f64 -3) (/.f64 17/18 (*.f64 x x))))) |
(+.f64 (+.f64 (/.f64 1/3 x) (-.f64 (log.f64 -3) (log.f64 x))) (/.f64 17/18 (*.f64 x x))) |
(+.f64 (log.f64 -3) (+.f64 (/.f64 1/3 x) (-.f64 (/.f64 17/18 (*.f64 x x)) (log.f64 x)))) |
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (*.f64 1/3 (/.f64 1 x)) (+.f64 (log.f64 -3) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (*.f64 17/18 (/.f64 1 (pow.f64 x 2))))))) |
(+.f64 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1/3 x) (+.f64 (+.f64 (log.f64 -3) (/.f64 1/81 (pow.f64 x 3))) (/.f64 17/18 (*.f64 x x))))) |
(-.f64 (+.f64 (/.f64 1/3 x) (+.f64 (/.f64 17/18 (*.f64 x x)) (+.f64 (log.f64 -3) (/.f64 1/81 (pow.f64 x 3))))) (log.f64 x)) |
(+.f64 (log.f64 -3) (+.f64 (+.f64 (-.f64 (/.f64 1/3 x) (log.f64 x)) (/.f64 1/81 (pow.f64 x 3))) (/.f64 17/18 (*.f64 x x)))) |
(+.f64 (log.f64 -3) (+.f64 (/.f64 1/3 x) (+.f64 (/.f64 1/81 (pow.f64 x 3)) (-.f64 (/.f64 17/18 (*.f64 x x)) (log.f64 x))))) |
(+.f64 (log.f64 3) (log.f64 (/.f64 -1 x))) |
(+.f64 (log.f64 3) (+.f64 (*.f64 1/3 (/.f64 1 x)) (log.f64 (/.f64 -1 x)))) |
(+.f64 (+.f64 (log.f64 3) (/.f64 1/3 x)) (log.f64 (/.f64 -1 x))) |
(+.f64 (/.f64 1/3 x) (+.f64 (log.f64 3) (log.f64 (/.f64 -1 x)))) |
(+.f64 (log.f64 3) (+.f64 (*.f64 1/3 (/.f64 1 x)) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 17/18 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 (log.f64 3) (+.f64 (/.f64 1/3 x) (+.f64 (/.f64 17/18 (*.f64 x x)) (log.f64 (/.f64 -1 x))))) |
(+.f64 (+.f64 (/.f64 1/3 x) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 17/18 (*.f64 x x)) (log.f64 3))) |
(+.f64 (/.f64 1/3 x) (+.f64 (/.f64 17/18 (*.f64 x x)) (+.f64 (log.f64 3) (log.f64 (/.f64 -1 x))))) |
(+.f64 (log.f64 3) (+.f64 (*.f64 1/3 (/.f64 1 x)) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 1/81 (/.f64 1 (pow.f64 x 3))) (*.f64 17/18 (/.f64 1 (pow.f64 x 2))))))) |
(+.f64 (+.f64 (log.f64 3) (/.f64 1/3 x)) (+.f64 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/81 (pow.f64 x 3))) (/.f64 17/18 (*.f64 x x)))) |
(+.f64 (+.f64 (/.f64 17/18 (*.f64 x x)) (+.f64 (/.f64 1/81 (pow.f64 x 3)) (log.f64 (/.f64 -1 x)))) (+.f64 (/.f64 1/3 x) (log.f64 3))) |
(+.f64 (+.f64 (/.f64 17/18 (*.f64 x x)) (/.f64 1/81 (pow.f64 x 3))) (+.f64 (/.f64 1/3 x) (+.f64 (log.f64 3) (log.f64 (/.f64 -1 x))))) |
(+.f64 (/.f64 1/81 (pow.f64 x 3)) (+.f64 (/.f64 1/3 x) (+.f64 (/.f64 17/18 (*.f64 x x)) (+.f64 (log.f64 3) (log.f64 (/.f64 -1 x)))))) |
1 |
(+.f64 1 (*.f64 3 x)) |
(fma.f64 3 x 1) |
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 3 x))) |
(+.f64 (+.f64 1 (*.f64 x x)) (*.f64 3 x)) |
(+.f64 1 (*.f64 x (+.f64 x 3))) |
(fma.f64 x (+.f64 3 x) 1) |
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 3 x) (*.f64 3 (pow.f64 x 3))))) |
(+.f64 (+.f64 1 (*.f64 x x)) (*.f64 3 (+.f64 x (pow.f64 x 3)))) |
(+.f64 1 (fma.f64 3 (+.f64 x (pow.f64 x 3)) (*.f64 x x))) |
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1)) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (/.f64 3 x) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 -3 x) (/.f64 -1 (*.f64 x x))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))) |
(-.f64 (/.f64 -3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -3 x) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -3 x) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (-.f64 (/.f64 -3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) (/.f64 -1 (pow.f64 x 4))) |
(+.f64 (/.f64 -3 x) (-.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 -3 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -3 x)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))) |
(neg.f64 (+.f64 (/.f64 3 x) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 -3 x) (/.f64 -1 (*.f64 x x))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))) |
(-.f64 (/.f64 -3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -3 x) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -3 x) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (-.f64 (/.f64 -3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) (/.f64 -1 (pow.f64 x 4))) |
(+.f64 (/.f64 -3 x) (-.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 -3 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -3 x)))) |
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 244 | 0 | 244 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 244 | 6 | 250 |
| Status | Error | Program |
|---|---|---|
| ✓ | 34.5b | (exp.f64 (log.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))))) |
| 43.6b | (neg.f64 (pow.f64 (sqrt.f64 (+.f64 (+.f64 (pow.f64 x -4) (/.f64 3 x)) (fma.f64 3 (pow.f64 x -3) (pow.f64 x -2)))) 2)) | |
| ✓ | 27.1b | (+.f64 (/.f64 -3 x) (+.f64 (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4)))) |
| ✓ | 27.3b | (neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2)))))) |
| 35.3b | (/.f64 (-.f64 (-.f64 (*.f64 x x) x) (pow.f64 (+.f64 x 1) 2)) (fma.f64 x x -1)) | |
| 37.1b | (+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 3 x) (*.f64 3 (pow.f64 x 3))))) |
Compiled 6548 to 4936 computations (24.6% saved)
Total 0.0b remaining (44.8%)
Threshold costs 0.0b (44.8%)
Compiled 2184 to 1702 computations (22.1% saved)
| 2× | binary-search |
2 calls:
| 17.0ms | x |
| 14.0ms | x |
| Iters | Point | Range | ||||
|---|---|---|---|---|---|---|
3000.0 | ∈ [ | 2441.49645337742 | , | 557647.0052241266 | ] | |
-2600.0 | ∈ [ | -48092.58767038819 | , | -58.92458997605864 | ] | |
Compiled 2 to 1 computations (50% saved)
| 1× | egg-herbie |
| 8× | +-commutative_binary64 |
| 5× | sub-neg_binary64 |
| 3× | *-commutative_binary64 |
| 3× | neg-sub0_binary64 |
| 3× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 93 |
| 1 | 44 | 93 |
| 2 | 52 | 93 |
| 3 | 57 | 93 |
| 4 | 59 | 93 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x -2600) (neg.f64 (log1p.f64 (expm1.f64 (+.f64 (+.f64 (pow.f64 x -4) (/.f64 3 x)) (fma.f64 3 (pow.f64 x -3) (pow.f64 x -2)))))) (if (<=.f64 x 3000) (/.f64 (-.f64 (-.f64 (*.f64 x x) x) (pow.f64 (+.f64 x 1) 2)) (fma.f64 x x -1)) (neg.f64 (log1p.f64 (expm1.f64 (+.f64 (+.f64 (pow.f64 x -4) (/.f64 3 x)) (fma.f64 3 (pow.f64 x -3) (pow.f64 x -2)))))))) |
| Outputs |
|---|
(if (<=.f64 x -2600) (neg.f64 (log1p.f64 (expm1.f64 (+.f64 (+.f64 (pow.f64 x -4) (/.f64 3 x)) (fma.f64 3 (pow.f64 x -3) (pow.f64 x -2)))))) (if (<=.f64 x 3000) (/.f64 (-.f64 (-.f64 (*.f64 x x) x) (pow.f64 (+.f64 x 1) 2)) (fma.f64 x x -1)) (neg.f64 (log1p.f64 (expm1.f64 (+.f64 (+.f64 (pow.f64 x -4) (/.f64 3 x)) (fma.f64 3 (pow.f64 x -3) (pow.f64 x -2)))))))) |
| 1× | fuel |
Compiled 245 to 187 computations (23.7% saved)
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