Time bar (total: 5.2s)
| 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 |
Compiled 15 to 11 computations (26.7% saved)
| 539.0ms | 2041× | body | 1024 | valid |
| 527.0ms | 4962× | body | 256 | valid |
| 180.0ms | 1012× | body | 512 | valid |
| 104.0ms | 241× | body | 2048 | valid |
| 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 15 to 11 computations (26.7% 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))) |
Compiled 27 to 19 computations (29.6% saved)
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 |
|---|---|---|
| ▶ | 28.4b | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
Compiled 14 to 10 computations (28.6% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 x (+.f64 x 1)) |
| ✓ | 0.0b | (/.f64 (+.f64 x 1) (-.f64 x 1)) |
| ✓ | 3.4b | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
Compiled 34 to 23 computations (32.4% saved)
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 x (+.f64 x 1)) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 x 1) (-.f64 x 1)) |
| 1× | batch-egg-rewrite |
| 510× | log-prod_binary64 |
| 470× | fma-def_binary64 |
| 389× | pow-prod-down_binary64 |
| 286× | fma-neg_binary64 |
| 267× | log-div_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 (+.f64 x 1) (-.f64 x 1)) |
(/.f64 x (+.f64 x 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 x 1)) (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 (fma.f64 -1 x -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 -1 x -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 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| 1× | egg-herbie |
| 820× | times-frac_binary64 |
| 427× | sub-neg_binary64 |
| 343× | fma-neg_binary64 |
| 321× | fma-def_binary64 |
| 254× | distribute-rgt-neg-in_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 466 |
| 1 | 205 | 439 |
| 2 | 590 | 432 |
| 3 | 1727 | 429 |
| 4 | 4802 | 425 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
-1 |
(-.f64 (*.f64 -2 x) 1) |
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 x)) 1) |
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))) 1) |
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 2))) (*.f64 2 (/.f64 1 (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 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))) |
x |
(+.f64 (*.f64 -1 (pow.f64 x 2)) x) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x))) |
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)))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 3 x) 1) |
(fma.f64 3 x 1) |
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (fma.f64 3 x 1) (*.f64 x x)) |
(fma.f64 3 x (fma.f64 x x 1)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2)))) |
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (+.f64 1 (*.f64 x x)))) |
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1))) |
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1)) |
(*.f64 (fma.f64 x x 1) (fma.f64 3 x 1)) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (+.f64 (/.f64 -3 x) (/.f64 -1 (pow.f64 x 4))) (/.f64 3 (pow.f64 x 3)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (+.f64 (/.f64 -3 x) (/.f64 -1 (pow.f64 x 4))) (/.f64 3 (pow.f64 x 3)))) |
-1 |
(-.f64 (*.f64 -2 x) 1) |
(fma.f64 -2 x -1) |
(fma.f64 x -2 -1) |
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 x)) 1) |
(+.f64 (*.f64 -2 (+.f64 (*.f64 x x) x)) -1) |
(fma.f64 -2 (fma.f64 x x x) -1) |
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))) 1) |
(+.f64 (fma.f64 -2 (*.f64 x x) (*.f64 -2 (+.f64 x (pow.f64 x 3)))) -1) |
(+.f64 -1 (*.f64 -2 (+.f64 (fma.f64 x x x) (pow.f64 x 3)))) |
(fma.f64 -2 (+.f64 (pow.f64 x 3) (fma.f64 x x x)) -1) |
(fma.f64 -2 (+.f64 x (*.f64 x (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 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x)))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))) |
(+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))) |
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 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x)))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))) |
(+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))) |
x |
(+.f64 (*.f64 -1 (pow.f64 x 2)) x) |
(fma.f64 -1 (*.f64 x x) x) |
(-.f64 x (*.f64 x x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x)) |
(fma.f64 -1 (*.f64 x x) (+.f64 x (pow.f64 x 3))) |
(+.f64 x (*.f64 (*.f64 x x) (+.f64 -1 x))) |
(*.f64 x (-.f64 (fma.f64 x x 1) x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x))) |
(fma.f64 -1 (*.f64 x x) (fma.f64 -1 (pow.f64 x 4) (+.f64 x (pow.f64 x 3)))) |
(-.f64 (-.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 4)) (*.f64 x x)) |
(-.f64 (+.f64 x (pow.f64 x 3)) (fma.f64 x x (pow.f64 x 4))) |
(*.f64 (fma.f64 x x 1) (-.f64 x (*.f64 x x))) |
(*.f64 (-.f64 1 x) (+.f64 x (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 (/.f64 1 (*.f64 x x)) (-.f64 1 (/.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 1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (/.f64 1 x))) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 x)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (+.f64 1 (/.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 (/.f64 1 (*.f64 x x)) (-.f64 1 (/.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 1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (/.f64 1 x))) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 x)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (+.f64 1 (/.f64 -1 (pow.f64 x 3))))) |
Compiled 6316 to 4651 computations (26.4% saved)
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 253 | 12 | 265 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 253 | 13 | 266 |
| Status | Error | Program |
|---|---|---|
| 33.2b | (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) | |
| 33.3b | (neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) | |
| ▶ | 32.5b | (/.f64 -3 x) |
| 28.7b | (/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 (/.f64 (+.f64 x 1) x) 1)) (*.f64 (/.f64 (+.f64 x 1) x) (/.f64 (+.f64 x -1) (+.f64 x 1)))) | |
| 33.0b | (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))) | |
| ✓ | 28.4b | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| ▶ | 30.9b | (-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 30.4b | 1 | |
| ▶ | 28.5b | (/.f64 (-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))) |
| ▶ | 30.4b | (-.f64 (/.f64 x (+.f64 x 1)) -1) |
| 30.9b | (+.f64 (*.f64 3 x) 1) | |
| ▶ | 28.4b | (log.f64 (exp.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))))) |
| 60.6b | (-.f64 (/.f64 x (+.f64 x 1)) (+.f64 1 (/.f64 2 x))) |
Compiled 314 to 234 computations (25.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 x (+.f64 x 1)) | |
| ✓ | 0.0b | (/.f64 (+.f64 x 1) (+.f64 x -1)) |
| ✓ | 3.4b | (log.f64 (exp.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))))) |
| ✓ | 3.4b | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) |
Compiled 64 to 45 computations (29.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) |
| 0.0ms | x | @ | -inf | (log.f64 (exp.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))))) |
| 0.0ms | x | @ | inf | (log.f64 (exp.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))))) |
| 0.0ms | x | @ | 0 | (log.f64 (exp.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))))) |
| 0.0ms | x | @ | inf | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) |
| 1× | batch-egg-rewrite |
| 559× | log-prod_binary64 |
| 493× | fma-def_binary64 |
| 294× | pow2_binary64 |
| 287× | fma-neg_binary64 |
| 273× | log-div_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 48 |
| 1 | 236 | 48 |
| 2 | 3589 | 48 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) |
(log.f64 (exp.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.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))) 0)))) (#(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)))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) -2)) (/.f64 (+.f64 x 1) (+.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x 1) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x 1) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) -2)) (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -1 -1) (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) -2) (/.f64 (+.f64 x 1) (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x -1) -1/2) (/.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 (+.f64 x -1))) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 1) (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 1) (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 x) (log.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 (+.f64 x -1))) 1)))))) |
| 1× | egg-herbie |
| 811× | times-frac_binary64 |
| 690× | fma-def_binary64 |
| 516× | associate-/l/_binary64 |
| 514× | cancel-sign-sub-inv_binary64 |
| 433× | associate-*l/_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 511 |
| 1 | 162 | 472 |
| 2 | 466 | 468 |
| 3 | 1309 | 466 |
| 4 | 3754 | 460 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
1 |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
-1 |
(-.f64 (*.f64 -2 x) 1) |
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 x)) 1) |
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))) 1) |
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 2))) (*.f64 2 (/.f64 1 (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 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 3 x) 1) |
(fma.f64 3 x 1) |
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (fma.f64 3 x 1) (*.f64 x x)) |
(fma.f64 3 x (fma.f64 x x 1)) |
(fma.f64 x x (fma.f64 3 x 1)) |
(fma.f64 x (+.f64 3 x) 1) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2)))) |
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (+.f64 1 (*.f64 x x)))) |
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1))) |
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1)) |
(fma.f64 3 (pow.f64 x 3) (fma.f64 x (+.f64 3 x) 1)) |
(*.f64 (fma.f64 x x 1) (fma.f64 3 x 1)) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))) |
(+.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 -3 x) (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))) |
(+.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 -3 x) (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))) |
1 |
(+.f64 (*.f64 3 x) 1) |
(fma.f64 3 x 1) |
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (fma.f64 3 x 1) (*.f64 x x)) |
(fma.f64 3 x (fma.f64 x x 1)) |
(fma.f64 x x (fma.f64 3 x 1)) |
(fma.f64 x (+.f64 3 x) 1) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2)))) |
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (+.f64 1 (*.f64 x x)))) |
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1))) |
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1)) |
(fma.f64 3 (pow.f64 x 3) (fma.f64 x (+.f64 3 x) 1)) |
(*.f64 (fma.f64 x x 1) (fma.f64 3 x 1)) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))) |
(+.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 -3 x) (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))) |
(+.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 -3 x) (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))) |
-1 |
(-.f64 (*.f64 -2 x) 1) |
(fma.f64 -2 x -1) |
(fma.f64 x -2 -1) |
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 x)) 1) |
(+.f64 (*.f64 -2 (+.f64 (*.f64 x x) x)) -1) |
(fma.f64 -2 (fma.f64 x x x) -1) |
(fma.f64 x (fma.f64 x -2 -2) -1) |
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))) 1) |
(+.f64 (fma.f64 -2 (*.f64 x x) (*.f64 -2 (+.f64 x (pow.f64 x 3)))) -1) |
(+.f64 (*.f64 -2 (+.f64 (fma.f64 x x x) (pow.f64 x 3))) -1) |
(fma.f64 -2 (+.f64 (pow.f64 x 3) (fma.f64 x x x)) -1) |
(fma.f64 -2 (+.f64 x (*.f64 x (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 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x)))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))) |
(+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))) |
(+.f64 (/.f64 2 x) (+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))) |
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))) |
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 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x)))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))) |
(+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))) |
(+.f64 (/.f64 2 x) (+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))) |
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))) |
Compiled 6 to 4 computations (33.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 x (+.f64 x 1)) | |
| ✓ | 0.0b | (-.f64 (/.f64 x (+.f64 x 1)) -1) |
Compiled 19 to 13 computations (31.6% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (-.f64 (/.f64 x (+.f64 x 1)) -1) |
| 1.0ms | x | @ | 0 | (-.f64 (/.f64 x (+.f64 x 1)) -1) |
| 1.0ms | x | @ | -inf | (-.f64 (/.f64 x (+.f64 x 1)) -1) |
| 1× | batch-egg-rewrite |
| 849× | pow1_binary64 |
| 792× | add-log-exp_binary64 |
| 792× | log1p-expm1-u_binary64 |
| 792× | expm1-log1p-u_binary64 |
| 778× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 155 | 10 |
| 2 | 2107 | 10 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 x (+.f64 x 1)) -1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 x (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 x (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x (+.f64 x 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 1 (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 x (+.f64 x 1)))) (sqrt.f64 (+.f64 1 (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) 1) (/.f64 1 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (+.f64 1 (*.f64 (/.f64 x (+.f64 x 1)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) -1) (/.f64 1 (+.f64 (/.f64 x (+.f64 x 1)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (+.f64 1 (*.f64 (/.f64 x (+.f64 x 1)) -1))) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) 1) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (+.f64 1 (*.f64 (/.f64 x (+.f64 x 1)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) 1) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 1 (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) -1) (+.f64 (/.f64 x (+.f64 x 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) -1) (-.f64 (/.f64 x (+.f64 x 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) 1)) (neg.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (+.f64 1 (*.f64 (/.f64 x (+.f64 x 1)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) -1)) (neg.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 x (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 x (+.f64 x 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x (+.f64 x 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (/.f64 x (+.f64 x 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 x (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 x (+.f64 x 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2) (cbrt.f64 (/.f64 x (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 x (+.f64 x 1))) 1))))) |
| 1× | egg-herbie |
| 558× | fma-def_binary64 |
| 536× | unswap-sqr_binary64 |
| 483× | distribute-rgt-neg-in_binary64 |
| 429× | distribute-lft-neg-in_binary64 |
| 283× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 131 |
| 1 | 63 | 129 |
| 2 | 153 | 127 |
| 3 | 418 | 123 |
| 4 | 1282 | 123 |
| 5 | 4611 | 123 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) x)) |
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x))) |
2 |
(-.f64 2 (/.f64 1 x)) |
(-.f64 (+.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(-.f64 (+.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
2 |
(-.f64 2 (/.f64 1 x)) |
(-.f64 (+.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(-.f64 (+.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
| Outputs |
|---|
1 |
(+.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) x)) |
(+.f64 1 (fma.f64 -1 (*.f64 x x) x)) |
(+.f64 1 (-.f64 x (*.f64 x x))) |
(-.f64 x (fma.f64 x x -1)) |
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x))) |
(+.f64 1 (fma.f64 -1 (*.f64 x x) (+.f64 x (pow.f64 x 3)))) |
(+.f64 1 (-.f64 (+.f64 x (pow.f64 x 3)) (*.f64 x x))) |
(+.f64 1 (*.f64 x (-.f64 (fma.f64 x x 1) x))) |
(fma.f64 x (-.f64 (fma.f64 x x 1) x) 1) |
(fma.f64 x (fma.f64 x x (-.f64 1 x)) 1) |
2 |
(-.f64 2 (/.f64 1 x)) |
(+.f64 2 (/.f64 -1 x)) |
(-.f64 (+.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(+.f64 2 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))) |
(+.f64 2 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 x))) |
(+.f64 2 (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 x))) |
(+.f64 2 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))) |
(-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) -2)) |
(-.f64 (+.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 2 (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (+.f64 2 (/.f64 (/.f64 1 x) x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 2 (+.f64 (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 x)) (/.f64 -1 (pow.f64 x 3)))) |
(+.f64 2 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 3)))) |
(+.f64 (+.f64 2 (/.f64 -1 x)) (*.f64 (+.f64 (/.f64 -1 x) 1) (/.f64 1 (*.f64 x x)))) |
(+.f64 2 (+.f64 (/.f64 -1 x) (*.f64 (+.f64 (/.f64 -1 x) 1) (/.f64 1 (*.f64 x x))))) |
2 |
(-.f64 2 (/.f64 1 x)) |
(+.f64 2 (/.f64 -1 x)) |
(-.f64 (+.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(+.f64 2 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))) |
(+.f64 2 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 x))) |
(+.f64 2 (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 x))) |
(+.f64 2 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))) |
(-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) -2)) |
(-.f64 (+.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 2 (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (+.f64 2 (/.f64 (/.f64 1 x) x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 2 (+.f64 (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 x)) (/.f64 -1 (pow.f64 x 3)))) |
(+.f64 2 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 3)))) |
(+.f64 (+.f64 2 (/.f64 -1 x)) (*.f64 (+.f64 (/.f64 -1 x) 1) (/.f64 1 (*.f64 x x)))) |
(+.f64 2 (+.f64 (/.f64 -1 x) (*.f64 (+.f64 (/.f64 -1 x) 1) (/.f64 1 (*.f64 x x))))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 0.0b | (/.f64 (+.f64 x 1) (-.f64 x 1)) |
Compiled 25 to 17 computations (32% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | (-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 1.0ms | x | @ | 0 | (-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 1.0ms | x | @ | inf | (-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 1× | batch-egg-rewrite |
| 995× | pow1_binary64 |
| 930× | add-log-exp_binary64 |
| 930× | log1p-expm1-u_binary64 |
| 930× | expm1-log1p-u_binary64 |
| 87× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 165 | 13 |
| 2 | 2497 | 13 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))) (fma.f64 (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1)) 1 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.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 x (/.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 x (/.f64 (+.f64 x 1) (+.f64 x -1))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))) 2) (cbrt.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))) (sqrt.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (+.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2)) (/.f64 1 (+.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (+.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))))) (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3)) (fma.f64 x x (*.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (+.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2)) (+.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (+.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2))) (neg.f64 (+.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1)) (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1))) (*.f64 x (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1)) (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1)))) (-.f64 x (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1))))))) |
| 1× | egg-herbie |
| 823× | fma-neg_binary64 |
| 787× | fma-def_binary64 |
| 541× | cancel-sign-sub-inv_binary64 |
| 536× | unswap-sqr_binary64 |
| 516× | associate-*l*_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 105 |
| 1 | 78 | 105 |
| 2 | 192 | 104 |
| 3 | 561 | 99 |
| 4 | 1540 | 96 |
| 5 | 4909 | 92 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 (pow.f64 x 2)) 1)) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) 1))) |
x |
(-.f64 x 1) |
(-.f64 x (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 x (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
x |
(-.f64 x 1) |
(-.f64 x (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 x (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 3 x) 1) |
(fma.f64 3 x 1) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 (pow.f64 x 2)) 1)) |
(fma.f64 3 x (fma.f64 2 (*.f64 x x) 1)) |
(fma.f64 x (fma.f64 x 2 3) 1) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) 1))) |
(fma.f64 3 x (fma.f64 2 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) 1))) |
(fma.f64 2 (+.f64 (*.f64 x x) (pow.f64 x 3)) (fma.f64 3 x 1)) |
(fma.f64 x (*.f64 2 (fma.f64 x x x)) (fma.f64 3 x 1)) |
(fma.f64 x (fma.f64 x (fma.f64 x 2 2) 3) 1) |
x |
(-.f64 x 1) |
(+.f64 x -1) |
(-.f64 x (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 x (+.f64 1 (/.f64 2 x))) |
(+.f64 x (-.f64 -1 (/.f64 2 x))) |
(+.f64 x (+.f64 -1 (/.f64 -2 x))) |
(-.f64 x (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(-.f64 x (+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))) |
(+.f64 x (-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))) |
(+.f64 (+.f64 x -1) (-.f64 (/.f64 -2 x) (/.f64 2 (*.f64 x x)))) |
(+.f64 x (+.f64 -1 (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 x)))) |
(+.f64 x (fma.f64 (/.f64 1 x) (+.f64 -2 (/.f64 -2 x)) -1)) |
x |
(-.f64 x 1) |
(+.f64 x -1) |
(-.f64 x (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 x (+.f64 1 (/.f64 2 x))) |
(+.f64 x (-.f64 -1 (/.f64 2 x))) |
(+.f64 x (+.f64 -1 (/.f64 -2 x))) |
(-.f64 x (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(-.f64 x (+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))) |
(+.f64 x (-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))) |
(+.f64 (+.f64 x -1) (-.f64 (/.f64 -2 x) (/.f64 2 (*.f64 x x)))) |
(+.f64 x (+.f64 -1 (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 x)))) |
(+.f64 x (fma.f64 (/.f64 1 x) (+.f64 -2 (/.f64 -2 x)) -1)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)) |
| ✓ | 0.0b | (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1)) |
| ✓ | 0.3b | (/.f64 (-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))) |
| ✓ | 3.2b | (-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) |
Compiled 69 to 47 computations (31.9% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) |
| 1.0ms | x | @ | inf | (-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) |
| 1.0ms | x | @ | 0 | (-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) |
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)) |
| 1.0ms | x | @ | inf | (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)) |
| 1× | batch-egg-rewrite |
| 779× | log-prod_binary64 |
| 556× | fma-def_binary64 |
| 364× | log-div_binary64 |
| 332× | fma-neg_binary64 |
| 228× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 79 |
| 1 | 271 | 60 |
| 2 | 4718 | 60 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) |
(/.f64 (-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))) |
(*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1)) |
(*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (-.f64 -1 (/.f64 (pow.f64 (+.f64 x 1) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (-.f64 -1 (/.f64 (pow.f64 (+.f64 x 1) 2) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 x (/.f64 (pow.f64 (+.f64 x 1) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1) (/.f64 (neg.f64 (pow.f64 (+.f64 x 1) 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1) (*.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 x 1) 2)) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (-.f64 -1 (/.f64 (pow.f64 (+.f64 x 1) 2) x))) (fma.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 x 1) 2)) x) 1 (/.f64 (pow.f64 (+.f64 x 1) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (-.f64 -1 (/.f64 (pow.f64 (+.f64 x 1) 2) x))) (+.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 x 1) 2)) x) (/.f64 (pow.f64 (+.f64 x 1) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (-.f64 -1 (/.f64 (pow.f64 (+.f64 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(fma.f64 x x -1) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 (+.f64 x 1) x)) (-.f64 (fma.f64 x x 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x -1 -1) (+.f64 x -1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 x 1) x) (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x -1) (fma.f64 x -1 -1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x x -1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x x -1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x -1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 x x -1) x)) 2)))) 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(#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x x -1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (/.f64 (+.f64 x 1) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3) (pow.f64 (+.f64 x -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 x x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x x -1) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 (+.f64 x 1) x) (/.f64 (fma.f64 x -1 -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 (+.f64 x 1) x) (/.f64 x (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (fma.f64 x -1 -1) x) 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (+.f64 x 1)) (/.f64 1 x) (/.f64 (fma.f64 x -1 -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (+.f64 x 1) x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (+.f64 x 1) x))) (/.f64 (fma.f64 x -1 -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) (sqrt.f64 x)) (/.f64 (fma.f64 x -1 -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))) (sqrt.f64 (/.f64 (+.f64 x 1) x)) (/.f64 x (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) x)) (/.f64 x (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) x)) (/.f64 (fma.f64 x -1 -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (/.f64 (+.f64 x 1) x))) (sqrt.f64 (/.f64 (+.f64 x 1) x)) (/.f64 (fma.f64 x -1 -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (+.f64 x 1) x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (/.f64 (fma.f64 x -1 -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (+.f64 x 1) x) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 (fma.f64 x -1 -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) x)) (/.f64 x (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (/.f64 (+.f64 x 1) x))) (sqrt.f64 (/.f64 (+.f64 x 1) x)) (/.f64 x (/.f64 x (+.f64 x 1)))))))) |
| 1× | egg-herbie |
| 920× | fma-neg_binary64 |
| 653× | times-frac_binary64 |
| 624× | associate-*r*_binary64 |
| 450× | cancel-sign-sub-inv_binary64 |
| 359× | associate-*l/_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 424 |
| 1 | 118 | 390 |
| 2 | 320 | 389 |
| 3 | 891 | 388 |
| 4 | 2543 | 377 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 x) |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
-3 |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
-3 |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
1 |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(/.f64 1 x) |
(+.f64 2 (/.f64 1 x)) |
(+.f64 2 (+.f64 (/.f64 1 x) x)) |
(+.f64 2 (+.f64 (/.f64 1 x) x)) |
x |
(+.f64 2 x) |
(+.f64 2 (+.f64 (/.f64 1 x) x)) |
(+.f64 2 (+.f64 (/.f64 1 x) x)) |
x |
(+.f64 2 x) |
(+.f64 2 (+.f64 (/.f64 1 x) x)) |
(+.f64 2 (+.f64 (/.f64 1 x) x)) |
(/.f64 -1 x) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
x |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
x |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
| Outputs |
|---|
(/.f64 -1 x) |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
(+.f64 -3 (/.f64 -1 x)) |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
(+.f64 -3 (/.f64 -1 x)) |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
(+.f64 -3 (/.f64 -1 x)) |
-3 |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
(+.f64 -3 (/.f64 -1 x)) |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
(+.f64 -3 (/.f64 -1 x)) |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
(+.f64 -3 (/.f64 -1 x)) |
-3 |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
(+.f64 -3 (/.f64 -1 x)) |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
(+.f64 -3 (/.f64 -1 x)) |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
(+.f64 -3 (/.f64 -1 x)) |
1 |
(+.f64 (*.f64 3 x) 1) |
(fma.f64 3 x 1) |
(fma.f64 x 3 1) |
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (fma.f64 3 x 1) (*.f64 x x)) |
(fma.f64 x 3 (fma.f64 x x 1)) |
(fma.f64 x (+.f64 x 3) 1) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2)))) |
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (+.f64 1 (*.f64 x x)))) |
(fma.f64 x 3 (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1))) |
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1)) |
(fma.f64 x x (fma.f64 3 (+.f64 x (pow.f64 x 3)) 1)) |
(*.f64 (fma.f64 x x 1) (fma.f64 x 3 1)) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))) |
(-.f64 (*.f64 (/.f64 1 (*.f64 x x)) (-.f64 -1 (/.f64 3 x))) (/.f64 3 x)) |
(fma.f64 (/.f64 1 (*.f64 x x)) (-.f64 -1 (/.f64 3 x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 -3 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 -1 (/.f64 3 x))) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 -3 x) (fma.f64 (/.f64 1 (*.f64 x x)) (-.f64 -1 (/.f64 3 x)) (/.f64 -1 (pow.f64 x 4)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))) |
(-.f64 (*.f64 (/.f64 1 (*.f64 x x)) (-.f64 -1 (/.f64 3 x))) (/.f64 3 x)) |
(fma.f64 (/.f64 1 (*.f64 x x)) (-.f64 -1 (/.f64 3 x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 -3 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 -1 (/.f64 3 x))) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 -3 x) (fma.f64 (/.f64 1 (*.f64 x x)) (-.f64 -1 (/.f64 3 x)) (/.f64 -1 (pow.f64 x 4)))) |
(/.f64 1 x) |
(+.f64 2 (/.f64 1 x)) |
(+.f64 (/.f64 1 x) 2) |
(+.f64 2 (+.f64 (/.f64 1 x) x)) |
(+.f64 2 (+.f64 x (/.f64 1 x))) |
(+.f64 (/.f64 1 x) (+.f64 x 2)) |
(+.f64 x (+.f64 (/.f64 1 x) 2)) |
(+.f64 2 (+.f64 (/.f64 1 x) x)) |
(+.f64 2 (+.f64 x (/.f64 1 x))) |
(+.f64 (/.f64 1 x) (+.f64 x 2)) |
(+.f64 x (+.f64 (/.f64 1 x) 2)) |
x |
(+.f64 2 x) |
(+.f64 x 2) |
(+.f64 2 (+.f64 (/.f64 1 x) x)) |
(+.f64 2 (+.f64 x (/.f64 1 x))) |
(+.f64 (/.f64 1 x) (+.f64 x 2)) |
(+.f64 x (+.f64 (/.f64 1 x) 2)) |
(+.f64 2 (+.f64 (/.f64 1 x) x)) |
(+.f64 2 (+.f64 x (/.f64 1 x))) |
(+.f64 (/.f64 1 x) (+.f64 x 2)) |
(+.f64 x (+.f64 (/.f64 1 x) 2)) |
x |
(+.f64 2 x) |
(+.f64 x 2) |
(+.f64 2 (+.f64 (/.f64 1 x) x)) |
(+.f64 2 (+.f64 x (/.f64 1 x))) |
(+.f64 (/.f64 1 x) (+.f64 x 2)) |
(+.f64 x (+.f64 (/.f64 1 x) 2)) |
(+.f64 2 (+.f64 (/.f64 1 x) x)) |
(+.f64 2 (+.f64 x (/.f64 1 x))) |
(+.f64 (/.f64 1 x) (+.f64 x 2)) |
(+.f64 x (+.f64 (/.f64 1 x) 2)) |
(/.f64 -1 x) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
x |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
x |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
Compiled 22574 to 16423 computations (27.2% saved)
14 alts after pruning (9 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 882 | 7 | 889 |
| Fresh | 5 | 2 | 7 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 5 | 5 |
| Total | 888 | 14 | 902 |
| Status | Error | Program |
|---|---|---|
| ✓ | 28.4b | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| ✓ | 30.9b | (-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| ✓ | 30.4b | (-.f64 (/.f64 x (+.f64 x 1)) -1) |
| ▶ | 0.3b | (/.f64 (+.f64 -3 (/.f64 -1 x)) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))) |
| ▶ | 30.9b | (+.f64 (*.f64 3 x) 1) |
| ▶ | 61.6b | (-.f64 2 (/.f64 1 x)) |
| ✓ | 28.4b | (log.f64 (exp.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))))) |
| 56.5b | 2 | |
| 33.3b | (neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) | |
| 60.6b | (-.f64 (/.f64 x (+.f64 x 1)) (+.f64 1 (/.f64 2 x))) | |
| ✓ | 32.5b | (/.f64 -3 x) |
| 30.4b | 1 | |
| ▶ | 31.2b | (-.f64 x -1) |
| ▶ | 33.2b | (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x)) |
Compiled 190 to 146 computations (23.2% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)) | |
| ✓ | 0.3b | (/.f64 (+.f64 -3 (/.f64 -1 x)) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))) |
Compiled 48 to 34 computations (29.2% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (+.f64 -3 (/.f64 -1 x)) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))) |
| 1.0ms | x | @ | -inf | (/.f64 (+.f64 -3 (/.f64 -1 x)) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))) |
| 1.0ms | x | @ | inf | (/.f64 (+.f64 -3 (/.f64 -1 x)) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))) |
| 1× | batch-egg-rewrite |
| 699× | log-prod_binary64 |
| 498× | prod-diff_binary64 |
| 319× | log-div_binary64 |
| 265× | fma-def_binary64 |
| 237× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 22 |
| 1 | 283 | 17 |
| 2 | 4301 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 -3 (/.f64 -1 x)) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x))) (cbrt.f64 (exp.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -3 (/.f64 -1 x)) (/.f64 1 (/.f64 (fma.f64 x x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x)) 2) (cbrt.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -3 (/.f64 -1 x))) 2) (*.f64 (cbrt.f64 (+.f64 -3 (/.f64 -1 x))) (/.f64 1 (/.f64 (fma.f64 x x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x)) (sqrt.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -3 (/.f64 -1 x))) (*.f64 (sqrt.f64 (+.f64 -3 (/.f64 -1 x))) (/.f64 1 (/.f64 (fma.f64 x x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 3 (neg.f64 (/.f64 -1 x))) (/.f64 1 (neg.f64 (/.f64 (fma.f64 x x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 -3 (/.f64 -1 x)) (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (fma.f64 x x -1) x)) (+.f64 -3 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 -3 (/.f64 -1 x)) (/.f64 x (+.f64 x 1))) (/.f64 1 (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -3 (/.f64 -1 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 -3 (/.f64 -1 x))) (/.f64 (fma.f64 x x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 -3 (/.f64 -1 x))) 1) (/.f64 (sqrt.f64 (+.f64 -3 (/.f64 -1 x))) (/.f64 (fma.f64 x x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -3 (/.f64 -1 x))) 2) (/.f64 (+.f64 x 1) x)) (/.f64 (cbrt.f64 (+.f64 -3 (/.f64 -1 x))) (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 -3 (/.f64 -1 x))) (/.f64 (+.f64 x 1) x)) (/.f64 (sqrt.f64 (+.f64 -3 (/.f64 -1 x))) (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 -3 (/.f64 -1 x))) (+.f64 -1 x)) (/.f64 (sqrt.f64 (+.f64 -3 (/.f64 -1 x))) (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -1 x)) (*.f64 (+.f64 -3 (/.f64 -1 x)) (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -3 (/.f64 -1 x))) 2) (+.f64 -1 x)) (/.f64 (cbrt.f64 (+.f64 -3 (/.f64 -1 x))) (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x x -1) x) 2))) (/.f64 (+.f64 -3 (/.f64 -1 x)) (cbrt.f64 (/.f64 (fma.f64 x x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -3 (/.f64 -1 x))) 2) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x x -1) x) 2))) (cbrt.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 -3 (/.f64 -1 x))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x x -1) x) 2))) (/.f64 (sqrt.f64 (+.f64 -3 (/.f64 -1 x))) (cbrt.f64 (/.f64 (fma.f64 x x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 (fma.f64 x x -1) x))) (/.f64 (+.f64 -3 (/.f64 -1 x)) (sqrt.f64 (/.f64 (fma.f64 x x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -3 (/.f64 -1 x))) 2) (sqrt.f64 (/.f64 (fma.f64 x x -1) x))) (/.f64 (cbrt.f64 (+.f64 -3 (/.f64 -1 x))) (sqrt.f64 (/.f64 (fma.f64 x x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 -3 (/.f64 -1 x)) (/.f64 x (+.f64 x 1))) (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 -3 (/.f64 -1 x)) (/.f64 x (+.f64 x 1))) (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 x x -1) x) (+.f64 -3 (/.f64 -1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (neg.f64 (/.f64 (fma.f64 x x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 -3 (/.f64 -1 x)) 3) (pow.f64 (/.f64 (fma.f64 x x -1) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x)) 1)))))) |
| 1× | egg-herbie |
| 884× | fma-neg_binary64 |
| 644× | times-frac_binary64 |
| 642× | associate-*l*_binary64 |
| 447× | associate-*r*_binary64 |
| 412× | cancel-sign-sub-inv_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 187 |
| 1 | 98 | 171 |
| 2 | 285 | 170 |
| 3 | 842 | 169 |
| 4 | 2503 | 158 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 3 x) 1) |
(fma.f64 3 x 1) |
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (fma.f64 3 x 1) (*.f64 x x)) |
(fma.f64 3 x (fma.f64 x x 1)) |
(fma.f64 x (+.f64 3 x) 1) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2)))) |
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (+.f64 1 (*.f64 x x)))) |
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1))) |
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1)) |
(fma.f64 3 (pow.f64 x 3) (fma.f64 x (+.f64 3 x) 1)) |
(*.f64 (fma.f64 x x 1) (fma.f64 3 x 1)) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))) |
(-.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 3 x) (/.f64 -3 (pow.f64 x 3)))) |
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 3 x)))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))))) |
(+.f64 (/.f64 -3 x) (fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (/.f64 -1 (pow.f64 x 4)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))) |
(-.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 3 x) (/.f64 -3 (pow.f64 x 3)))) |
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 3 x)))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))))) |
(+.f64 (/.f64 -3 x) (fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (/.f64 -1 (pow.f64 x 4)))) |
Compiled 6 to 4 computations (33.3% saved)
Compiled 12 to 9 computations (25% saved)
Compiled 12 to 9 computations (25% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x)) |
| ✓ | 0.8b | (/.f64 -1 (*.f64 x x)) |
Compiled 24 to 13 computations (45.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (/.f64 -1 (*.f64 x x)) |
| 1.0ms | x | @ | 0 | (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x)) |
| 1.0ms | x | @ | inf | (/.f64 -1 (*.f64 x x)) |
| 1.0ms | x | @ | inf | (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x)) |
| 1.0ms | x | @ | -inf | (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x)) |
| 1× | batch-egg-rewrite |
| 765× | prod-diff_binary64 |
| 597× | unpow-prod-down_binary64 |
| 404× | log-prod_binary64 |
| 297× | fma-def_binary64 |
| 236× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 20 |
| 1 | 185 | 16 |
| 2 | 2664 | 16 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 (*.f64 x x)) |
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x)) |
| Outputs |
|---|
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fma.f64 (-.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 9 (pow.f64 x -2))) (/.f64 1 (fma.f64 -1 (pow.f64 x -2) (/.f64 3 x))) (+.f64 (/.f64 -3 x) (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 x) (/.f64 1 x) (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 x) (/.f64 1 x) (*.f64 (/.f64 -3 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3 x)) 2) (cbrt.f64 (/.f64 -3 x)) (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -3 x)) (sqrt.f64 (/.f64 -3 x)) (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 3 x))) (sqrt.f64 (/.f64 3 x)) (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 (/.f64 3 x))) (-.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 (/.f64 3 x))) (fma.f64 (neg.f64 (/.f64 1 x)) 3 (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 (/.f64 3 x))) (-.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 (/.f64 3 x))) (fma.f64 (/.f64 -3 x) 1 (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 (/.f64 3 x))) (-.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 (/.f64 3 x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 3 x))) (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 (/.f64 3 x))) (-.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 (/.f64 3 x))) (+.f64 (/.f64 -3 x) (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2)) (cbrt.f64 (/.f64 3 x)) (neg.f64 (pow.f64 x -2))))))) |
| 1× | egg-herbie |
| 844× | div-sub_binary64 |
| 512× | distribute-neg-frac_binary64 |
| 434× | unswap-sqr_binary64 |
| 376× | times-frac_binary64 |
| 356× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 234 |
| 1 | 30 | 216 |
| 2 | 61 | 216 |
| 3 | 118 | 216 |
| 4 | 282 | 216 |
| 5 | 855 | 216 |
| 6 | 3675 | 216 |
| 7 | 7194 | 216 |
| 1× | node limit |
| Inputs |
|---|
(/.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)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
| Outputs |
|---|
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x)) |
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x)) |
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x)) |
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x)) |
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x)) |
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x)) |
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x)) |
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x)) |
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x)) |
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) |
Compiled 6680 to 4995 computations (25.2% saved)
12 alts after pruning (5 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 350 | 3 | 353 |
| Fresh | 2 | 2 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 7 | 9 |
| Total | 355 | 12 | 367 |
| Status | Error | Program |
|---|---|---|
| 30.4b | 1 | |
| ▶ | 0.3b | (/.f64 (+.f64 -3 (/.f64 -1 x)) (/.f64 (+.f64 x 1) (/.f64 x (+.f64 x -1)))) |
| ✓ | 28.4b | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| ✓ | 30.9b | (-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| ▶ | 33.2b | (/.f64 (-.f64 (/.f64 -1 x) 3) x) |
| ✓ | 30.4b | (-.f64 (/.f64 x (+.f64 x 1)) -1) |
| ✓ | 30.9b | (+.f64 (*.f64 3 x) 1) |
| ✓ | 61.6b | (-.f64 2 (/.f64 1 x)) |
| ✓ | 32.5b | (/.f64 -3 x) |
| ✓ | 31.2b | (-.f64 x -1) |
| ▶ | 0.3b | (/.f64 (+.f64 -3 (/.f64 -1 x)) (-.f64 x (/.f64 1 x))) |
| 56.5b | 2 |
Compiled 92 to 70 computations (23.9% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (/.f64 1 x)) |
| ✓ | 0.3b | (/.f64 (+.f64 -3 (/.f64 -1 x)) (-.f64 x (/.f64 1 x))) |
Compiled 32 to 23 computations (28.1% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (-.f64 x (/.f64 1 x)) |
| 0.0ms | x | @ | 0 | (/.f64 (+.f64 -3 (/.f64 -1 x)) (-.f64 x (/.f64 1 x))) |
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 -3 (/.f64 -1 x)) (-.f64 x (/.f64 1 x))) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 -3 (/.f64 -1 x)) (-.f64 x (/.f64 1 x))) |
| 0.0ms | x | @ | inf | (-.f64 x (/.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 445× | prod-diff_binary64 |
| 427× | log-prod_binary64 |
| 264× | pow-prod-down_binary64 |
| 245× | pow2_binary64 |
| 203× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 23 |
| 1 | 225 | 23 |
| 2 | 3243 | 23 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 -3 (/.f64 -1 x)) (-.f64 x (/.f64 1 x))) |
(-.f64 x (/.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 -3 (/.f64 -1 x)) (+.f64 x (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (+.f64 x (/.f64 -1 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (+.f64 x (/.f64 -1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (+.f64 x (/.f64 -1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (+.f64 x (/.f64 -1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (+.f64 x (/.f64 -1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -3 (/.f64 -1 x)) (/.f64 -1 (+.f64 x (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 -3 (/.f64 -1 x)) (+.f64 x (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (+.f64 x (/.f64 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(pow.f64 x -1/2) x))))) |
| 1× | egg-herbie |
| 884× | fma-neg_binary64 |
| 646× | times-frac_binary64 |
| 631× | associate-*l*_binary64 |
| 412× | cancel-sign-sub-inv_binary64 |
| 347× | associate-/l/_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 193 |
| 1 | 99 | 177 |
| 2 | 286 | 176 |
| 3 | 843 | 175 |
| 4 | 2499 | 164 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(/.f64 -1 x) |
x |
x |
| Outputs |
|---|
1 |
(+.f64 (*.f64 3 x) 1) |
(fma.f64 3 x 1) |
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (fma.f64 3 x 1) (*.f64 x x)) |
(fma.f64 3 x (fma.f64 x x 1)) |
(fma.f64 x (+.f64 3 x) 1) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2)))) |
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (+.f64 1 (*.f64 x x)))) |
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1))) |
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1)) |
(fma.f64 3 (pow.f64 x 3) (fma.f64 x (+.f64 3 x) 1)) |
(*.f64 (fma.f64 x x 1) (fma.f64 3 x 1)) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 3 x))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))) |
(-.f64 (/.f64 -3 x) (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 -3 (pow.f64 x 3)))) |
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))))) |
(-.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 -3 x) (-.f64 (/.f64 -1 (pow.f64 x 4)) (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 -3 (pow.f64 x 3))))) |
(+.f64 (/.f64 -3 x) (fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (/.f64 -1 (pow.f64 x 4)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 3 x))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))) |
(-.f64 (/.f64 -3 x) (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 -3 (pow.f64 x 3)))) |
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))))) |
(-.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 -3 x) (-.f64 (/.f64 -1 (pow.f64 x 4)) (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 -3 (pow.f64 x 3))))) |
(+.f64 (/.f64 -3 x) (fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (/.f64 -1 (pow.f64 x 4)))) |
(/.f64 -1 x) |
x |
x |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 x (+.f64 x -1)) |
| ✓ | 0.0b | (/.f64 (+.f64 x 1) (/.f64 x (+.f64 x -1))) |
| ✓ | 0.3b | (/.f64 (+.f64 -3 (/.f64 -1 x)) (/.f64 (+.f64 x 1) (/.f64 x (+.f64 x -1)))) |
Compiled 48 to 34 computations (29.2% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 -3 (/.f64 -1 x)) (/.f64 (+.f64 x 1) (/.f64 x (+.f64 x -1)))) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 x 1) (/.f64 x (+.f64 x -1))) |
| 0.0ms | x | @ | 0 | (/.f64 (+.f64 -3 (/.f64 -1 x)) (/.f64 (+.f64 x 1) (/.f64 x (+.f64 x -1)))) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 -3 (/.f64 -1 x)) (/.f64 (+.f64 x 1) (/.f64 x (+.f64 x -1)))) |
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 x 1) (/.f64 x (+.f64 x -1))) |
| 1× | batch-egg-rewrite |
| 733× | log-prod_binary64 |
| 371× | prod-diff_binary64 |
| 333× | log-div_binary64 |
| 239× | expm1-udef_binary64 |
| 239× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 42 |
| 1 | 284 | 32 |
| 2 | 4331 | 32 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 -3 (/.f64 -1 x)) (/.f64 (+.f64 x 1) (/.f64 x (+.f64 x -1)))) |
(/.f64 (+.f64 x 1) (/.f64 x (+.f64 x -1))) |
(/.f64 x (+.f64 x -1)) |
| Outputs |
|---|
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(/.f64 (+.f64 -1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1 x -1) (/.f64 1 (/.f64 (neg.f64 x) (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 x) x) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (+.f64 x 1) (/.f64 -1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 1) x) (+.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) x) (/.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 -1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) x) (/.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 -1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 x (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 x (+.f64 -1 x))))))) 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((x *.f64 (/.f64 (+.f64 x 1) (neg.f64 x)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 x 1) x) 1) (+.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 x 1) x) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (cbrt.f64 (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 x 1) x) (sqrt.f64 (+.f64 -1 x))) (sqrt.f64 (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x x -1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x x -1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x -1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 x x -1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (fma.f64 x x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x 1) (/.f64 (neg.f64 x) (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 x x -1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x x -1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (/.f64 x (+.f64 -1 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 x x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x x -1) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 (+.f64 x 1) x) (*.f64 x (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 (+.f64 x 1) x) (*.f64 -1 (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 x 1) x) -1 (*.f64 (/.f64 (+.f64 x 1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 x 1) x) x (*.f64 (/.f64 (+.f64 x 1) x) -1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 -1 x)))) (cbrt.f64 (exp.f64 (/.f64 x (+.f64 -1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 -1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 -1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 -1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) 2) (cbrt.f64 (/.f64 x (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 -1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 -1 x))) (sqrt.f64 (/.f64 x (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 -1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (/.f64 x (cbrt.f64 (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (cbrt.f64 (/.f64 x (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 -1 x))) (/.f64 x (sqrt.f64 (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 -1 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 -1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 -1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 -1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 -1 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 -1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 -1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (+.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 -1 x))) 1)))))) |
| 1× | egg-herbie |
| 738× | fma-def_binary64 |
| 653× | times-frac_binary64 |
| 571× | fma-neg_binary64 |
| 408× | sub-neg_binary64 |
| 312× | cancel-sign-sub-inv_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 408 |
| 1 | 153 | 380 |
| 2 | 456 | 379 |
| 3 | 1487 | 371 |
| 4 | 5330 | 371 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(/.f64 -1 x) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
x |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
x |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(*.f64 -1 x) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -1 (pow.f64 x 4))))) |
1 |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) |
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
1 |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) |
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 3 x) 1) |
(fma.f64 3 x 1) |
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (fma.f64 3 x 1) (*.f64 x x)) |
(fma.f64 3 x (fma.f64 x x 1)) |
(fma.f64 x (+.f64 3 x) 1) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2)))) |
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (+.f64 1 (*.f64 x x)))) |
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1))) |
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1)) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3))) (/.f64 3 x)) |
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 -3 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 -3 x) (/.f64 -1 (pow.f64 x 4))))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3))) (/.f64 3 x)) |
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 -3 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 -3 x) (/.f64 -1 (pow.f64 x 4))))) |
(/.f64 -1 x) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
x |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
x |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) |
(*.f64 -1 (+.f64 (*.f64 x x) x)) |
(neg.f64 (fma.f64 x x x)) |
(*.f64 x (-.f64 -1 x)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) |
(fma.f64 -1 (pow.f64 x 3) (*.f64 -1 (+.f64 (*.f64 x x) x))) |
(-.f64 (neg.f64 (fma.f64 x x x)) (pow.f64 x 3)) |
(-.f64 (*.f64 x (-.f64 -1 x)) (pow.f64 x 3)) |
(neg.f64 (fma.f64 x (fma.f64 x x x) x)) |
(*.f64 x (-.f64 -1 (fma.f64 x x x))) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -1 (pow.f64 x 4))))) |
(fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (*.f64 x x) (fma.f64 -1 x (neg.f64 (pow.f64 x 4))))) |
(-.f64 (-.f64 (neg.f64 (fma.f64 x x x)) (pow.f64 x 4)) (pow.f64 x 3)) |
(-.f64 (*.f64 x (-.f64 -1 x)) (+.f64 (pow.f64 x 4) (pow.f64 x 3))) |
(*.f64 (fma.f64 x x 1) (*.f64 x (-.f64 -1 x))) |
1 |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) |
(+.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (/.f64 1 x)) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 1 x))) |
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.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 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) |
(+.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (/.f64 1 x)) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 1 x))) |
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.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))))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (-.f64 (/.f64 -1 x) 3) x) |
Compiled 19 to 14 computations (26.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (/.f64 (-.f64 (/.f64 -1 x) 3) x) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 (/.f64 -1 x) 3) x) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 (/.f64 -1 x) 3) x) |
| 1× | batch-egg-rewrite |
| 895× | pow1_binary64 |
| 838× | add-log-exp_binary64 |
| 838× | log1p-expm1-u_binary64 |
| 838× | expm1-log1p-u_binary64 |
| 824× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 160 | 10 |
| 2 | 2164 | 10 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (/.f64 -1 x) 3) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 -1 x) x) (neg.f64 (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 -1 x) -3) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -1 x) -3) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (/.f64 -1 x) -3) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1 x) -3)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 -1 x) -3)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) x)) 2) (cbrt.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 -1 x) -3)) (*.f64 (sqrt.f64 (+.f64 (/.f64 -1 x) -3)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) x)) (sqrt.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 (/.f64 -1 x)) 3) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (+.f64 (/.f64 -1 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 (/.f64 -1 x) -3) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 (/.f64 -1 x) -3) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1 x) -3)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (/.f64 -1 x) -3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 -1 x) -3)) 1) (/.f64 (sqrt.f64 (+.f64 (/.f64 -1 x) -3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1 x) -3)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 -1 x) -3)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 (/.f64 -1 x) -3)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1 x) -3)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 (/.f64 -1 x) -3)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 (/.f64 -1 x) -3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 -1 x) -3) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) x))))))) |
| 1× | egg-herbie |
| 844× | div-sub_binary64 |
| 512× | distribute-neg-frac_binary64 |
| 434× | unswap-sqr_binary64 |
| 376× | times-frac_binary64 |
| 356× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 150 |
| 1 | 30 | 132 |
| 2 | 61 | 132 |
| 3 | 118 | 132 |
| 4 | 282 | 132 |
| 5 | 855 | 132 |
| 6 | 3675 | 132 |
| 7 | 7194 | 132 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 (pow.f64 x 2)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
| Outputs |
|---|
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x)) |
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x)) |
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x)) |
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x)) |
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x)) |
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x)) |
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x)) |
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x)) |
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x)) |
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) |
Compiled 7977 to 5919 computations (25.8% saved)
12 alts after pruning (2 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 409 | 0 | 409 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 9 | 9 |
| Total | 409 | 12 | 421 |
| Status | Error | Program |
|---|---|---|
| 30.4b | 1 | |
| ✓ | 0.3b | (/.f64 (+.f64 -3 (/.f64 -1 x)) (/.f64 (+.f64 x 1) (/.f64 x (+.f64 x -1)))) |
| ✓ | 28.4b | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| ✓ | 30.9b | (-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| ✓ | 33.2b | (/.f64 (-.f64 (/.f64 -1 x) 3) x) |
| ✓ | 30.4b | (-.f64 (/.f64 x (+.f64 x 1)) -1) |
| ✓ | 30.9b | (+.f64 (*.f64 3 x) 1) |
| ✓ | 61.6b | (-.f64 2 (/.f64 1 x)) |
| ✓ | 32.5b | (/.f64 -3 x) |
| ✓ | 31.2b | (-.f64 x -1) |
| ✓ | 0.3b | (/.f64 (+.f64 -3 (/.f64 -1 x)) (-.f64 x (/.f64 1 x))) |
| 56.5b | 2 |
Compiled 92 to 70 computations (23.9% saved)
| Inputs |
|---|
2 |
1 |
1 |
(-.f64 x -1) |
(/.f64 -3 x) |
(-.f64 2 (/.f64 1 x)) |
(+.f64 (*.f64 3 x) 1) |
(/.f64 (-.f64 (/.f64 -1 x) 3) x) |
(-.f64 (/.f64 x (+.f64 x 1)) -1) |
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x)) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1))) |
(/.f64 (+.f64 -3 (/.f64 -1 x)) (-.f64 x (/.f64 1 x))) |
(-.f64 (/.f64 x (+.f64 x 1)) (+.f64 1 (/.f64 2 x))) |
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
(/.f64 (+.f64 -3 (/.f64 -1 x)) (/.f64 (+.f64 x 1) (/.f64 x (+.f64 x -1)))) |
(/.f64 (+.f64 -3 (/.f64 -1 x)) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))) |
(/.f64 (-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))) |
(/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 (/.f64 (+.f64 x 1) x) 1)) (*.f64 (/.f64 (+.f64 x 1) x) (/.f64 (+.f64 x -1) (+.f64 x 1)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))) |
(log.f64 (exp.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))))) |
| Outputs |
|---|
(/.f64 (+.f64 -3 (/.f64 -1 x)) (-.f64 x (/.f64 1 x))) |
3 calls:
| 12.0ms | x |
| 7.0ms | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 4.0ms | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 1 | x |
| 0.3b | 1 | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 0.3b | 1 | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
Compiled 262 to 189 computations (27.9% saved)
| Inputs |
|---|
2 |
1 |
1 |
(-.f64 x -1) |
(/.f64 -3 x) |
(-.f64 2 (/.f64 1 x)) |
(+.f64 (*.f64 3 x) 1) |
(/.f64 (-.f64 (/.f64 -1 x) 3) x) |
(-.f64 (/.f64 x (+.f64 x 1)) -1) |
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x)) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| Outputs |
|---|
(/.f64 (-.f64 (/.f64 -1 x) 3) x) |
(+.f64 (*.f64 3 x) 1) |
(/.f64 (-.f64 (/.f64 -1 x) 3) x) |
1 calls:
| 27.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.8b | 3 | x |
Compiled 63 to 44 computations (30.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 0.12478220291243287 | 109091141.98815756 |
| 20.0ms | -1.0478750324780286 | -0.001271171614728686 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
2 |
1 |
1 |
(-.f64 x -1) |
(/.f64 -3 x) |
(-.f64 2 (/.f64 1 x)) |
(+.f64 (*.f64 3 x) 1) |
| Outputs |
|---|
(/.f64 -3 x) |
(+.f64 (*.f64 3 x) 1) |
(/.f64 -3 x) |
1 calls:
| 21.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.1b | 3 | x |
Compiled 22 to 17 computations (22.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 0.12478220291243287 | 109091141.98815756 |
| 21.0ms | -1.0478750324780286 | -0.001271171614728686 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
2 |
1 |
1 |
(-.f64 x -1) |
(/.f64 -3 x) |
(-.f64 2 (/.f64 1 x)) |
| Outputs |
|---|
(/.f64 -3 x) |
(-.f64 x -1) |
(/.f64 -3 x) |
1 calls:
| 15.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.3b | 3 | x |
Compiled 17 to 13 computations (23.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 0.12478220291243287 | 109091141.98815756 |
| 20.0ms | -1.0478750324780286 | -0.001271171614728686 |
Compiled 18 to 13 computations (27.8% saved)
Total -26.9b remaining (-88.4%)
Threshold costs -26.9b (-88.4%)
| Inputs |
|---|
2 |
1 |
1 |
(-.f64 x -1) |
| Outputs |
|---|
1 |
1 calls:
| 4.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 30.4b | 1 | x |
Compiled 9 to 7 computations (22.2% saved)
| 1× | egg-herbie |
| 5× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 2× | *-commutative_binary64 |
| 1× | distribute-neg-frac_binary64 |
| 1× | unsub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 108 |
| 1 | 40 | 108 |
| 2 | 46 | 108 |
| 3 | 49 | 108 |
| 4 | 50 | 108 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 -3 (/.f64 -1 x)) (-.f64 x (/.f64 1 x))) |
(if (<=.f64 x -294950600362431/281474976710656) (/.f64 (-.f64 (/.f64 -1 x) 3) x) (if (<=.f64 x 2301825362079343872/18446744073709551616) (+.f64 (*.f64 3 x) 1) (/.f64 (-.f64 (/.f64 -1 x) 3) x))) |
(if (<=.f64 x -294950600362431/281474976710656) (/.f64 -3 x) (if (<=.f64 x 2301825362079343872/18446744073709551616) (+.f64 (*.f64 3 x) 1) (/.f64 -3 x))) |
(if (<=.f64 x -294950600362431/281474976710656) (/.f64 -3 x) (if (<=.f64 x 2301825362079343872/18446744073709551616) (-.f64 x -1) (/.f64 -3 x))) |
1 |
2 |
| Outputs |
|---|
(/.f64 (+.f64 -3 (/.f64 -1 x)) (-.f64 x (/.f64 1 x))) |
(/.f64 (+.f64 -3 (/.f64 -1 x)) (+.f64 x (/.f64 -1 x))) |
(if (<=.f64 x -294950600362431/281474976710656) (/.f64 (-.f64 (/.f64 -1 x) 3) x) (if (<=.f64 x 2301825362079343872/18446744073709551616) (+.f64 (*.f64 3 x) 1) (/.f64 (-.f64 (/.f64 -1 x) 3) x))) |
(if (<=.f64 x -294950600362431/281474976710656) (/.f64 (+.f64 -3 (/.f64 -1 x)) x) (if (<=.f64 x 8991505320622437/72057594037927936) (+.f64 1 (*.f64 x 3)) (/.f64 (+.f64 -3 (/.f64 -1 x)) x))) |
(if (<=.f64 x -294950600362431/281474976710656) (/.f64 -3 x) (if (<=.f64 x 2301825362079343872/18446744073709551616) (+.f64 (*.f64 3 x) 1) (/.f64 -3 x))) |
(if (<=.f64 x -294950600362431/281474976710656) (/.f64 -3 x) (if (<=.f64 x 8991505320622437/72057594037927936) (+.f64 1 (*.f64 x 3)) (/.f64 -3 x))) |
(if (<=.f64 x -294950600362431/281474976710656) (/.f64 -3 x) (if (<=.f64 x 2301825362079343872/18446744073709551616) (-.f64 x -1) (/.f64 -3 x))) |
(if (<=.f64 x -294950600362431/281474976710656) (/.f64 -3 x) (if (<=.f64 x 8991505320622437/72057594037927936) (+.f64 x 1) (/.f64 -3 x))) |
1 |
2 |
| 1× | fuel |
Compiled 159 to 119 computations (25.2% saved)
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