Time bar (total: 7.0s)
| 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)
| 646.0ms | 2071× | body | 1024 | valid |
| 540.0ms | 4946× | body | 256 | valid |
| 257.0ms | 1021× | body | 512 | valid |
| 64.0ms | 218× | 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 |
|---|---|---|
| ▶ | 27.3b | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
Compiled 14 to 10 computations (28.6% saved)
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 2.1b | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) | |
| 0.0b | (/.f64 (+.f64 x 1) (-.f64 x 1)) | |
| 0.0b | (/.f64 x (+.f64 x 1)) | |
| ✓ | 0.0b | (/.f64 x (+.f64 x 1)) |
| ✓ | 0.0b | (/.f64 (+.f64 x 1) (-.f64 x 1)) |
| ✓ | 2.1b | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 1.0ms | x | @ | 0 | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 1.0ms | x | @ | -inf | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 0.0ms | x | @ | inf | (/.f64 x (+.f64 x 1)) |
| 0.0ms | x | @ | 0 | (/.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 |
|---|---|---|
| 30.1b | (-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1))) | |
| ▶ | 34.2b | (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
| 29.8b | 1 | |
| 27.3b | (/.f64 (-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))) | |
| ▶ | 33.6b | (/.f64 -3 x) |
| 34.1b | (neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) | |
| 30.1b | (+.f64 (*.f64 3 x) 1) | |
| ▶ | 34.4b | (neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
| ✓ | 27.3b | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 27.7b | (fma.f64 (+.f64 x 1) (neg.f64 (/.f64 1 (+.f64 x -1))) (/.f64 x (+.f64 x 1))) | |
| ▶ | 27.3b | (-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1))) |
| ▶ | 27.3b | (/.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)))) |
| 33.9b | (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))) |
Compiled 348 to 264 computations (24.1% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.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)))) | |
| 0.0b | (*.f64 (/.f64 (+.f64 x 1) x) (/.f64 (+.f64 x -1) (+.f64 x 1))) | |
| 0.0b | (/.f64 (+.f64 x 1) x) | |
| 0.0b | (/.f64 (+.f64 x -1) (+.f64 x 1)) | |
| ✓ | 0.0b | (/.f64 (+.f64 x 1) x) |
| ✓ | 0.0b | (*.f64 (/.f64 (+.f64 x 1) x) (/.f64 (+.f64 x -1) (+.f64 x 1))) |
| ✓ | 0.0b | (/.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)))) |
| ✓ | 2.0b | (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 (/.f64 (+.f64 x 1) x) 1)) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 (+.f64 x 1) x) |
| 1.0ms | x | @ | 0 | (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 (/.f64 (+.f64 x 1) x) 1)) |
| 0.0ms | x | @ | inf | (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 (/.f64 (+.f64 x 1) x) 1)) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 (+.f64 x 1) x) (/.f64 (+.f64 x -1) (+.f64 x 1))) |
| 0.0ms | x | @ | -inf | (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 (/.f64 (+.f64 x 1) x) 1)) |
| 1× | batch-egg-rewrite |
| 810× | log-prod_binary64 |
| 529× | fma-def_binary64 |
| 451× | log-div_binary64 |
| 340× | fma-neg_binary64 |
| 230× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 85 |
| 1 | 293 | 61 |
| 2 | 4833 | 61 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 (/.f64 (+.f64 x 1) 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)))) |
(*.f64 (/.f64 (+.f64 x 1) x) (/.f64 (+.f64 x -1) (+.f64 x 1))) |
(/.f64 (+.f64 x 1) x) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x -1) (fma.f64 x -1 -1)) (*.f64 (+.f64 x 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) (fma.f64 x -1 -1)) (*.f64 (fma.f64 x -1 -1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x -1 -1) (+.f64 x -1)) (*.f64 (neg.f64 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)) (*.f64 x (fma.f64 x -1 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x -1 -1) (-.f64 1 x)) (*.f64 (neg.f64 x) (fma.f64 x -1 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x -1) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x -1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x -1) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (fma.f64 x x -1) x) 1) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (fma.f64 x x -1) x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (fma.f64 x x -1) x) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) (/.f64 (+.f64 x 1) x)) (fma.f64 x -1 -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x -1 -1) (/.f64 (+.f64 x -1) (+.f64 x 1))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 x -1) (+.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 x)) (fma.f64 x -1 -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x -1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x -1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x -1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x -1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x -1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.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 (+.f64 x -1) (+.f64 x 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x -1) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x -1) x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x 1) x))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 x 1) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x 1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x 1) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x 1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 1) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) (*.f64 (/.f64 1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2) (cbrt.f64 (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) (sqrt.f64 (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -1 -1) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (+.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)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x 1) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 1) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 1) 1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) x))))))) |
| 1× | egg-herbie |
| 628× | associate-/l/_binary64 |
| 539× | fma-def_binary64 |
| 463× | associate-/l*_binary64 |
| 348× | sub-neg_binary64 |
| 302× | distribute-neg-frac_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 511 |
| 1 | 162 | 489 |
| 2 | 452 | 488 |
| 3 | 1297 | 484 |
| 4 | 4036 | 481 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 x) |
(neg.f64 (+.f64 2 (/.f64 1 x))) |
(-.f64 (*.f64 2 x) (+.f64 2 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 2 x)) (+.f64 2 (/.f64 1 x))) |
(/.f64 -3 x) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 3 (/.f64 1 x))) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(/.f64 -3 x) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 3 (/.f64 1 x))) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
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 1 (/.f64 1 x)) |
(-.f64 1 (/.f64 1 x)) |
(-.f64 1 (/.f64 1 x)) |
1 |
(-.f64 1 (/.f64 1 x)) |
(-.f64 1 (/.f64 1 x)) |
(-.f64 1 (/.f64 1 x)) |
1 |
(-.f64 1 (/.f64 1 x)) |
(-.f64 1 (/.f64 1 x)) |
(-.f64 1 (/.f64 1 x)) |
(/.f64 1 x) |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
1 |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
1 |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
| Outputs |
|---|
(/.f64 -1 x) |
(neg.f64 (+.f64 2 (/.f64 1 x))) |
(+.f64 -2 (/.f64 -1 x)) |
(-.f64 (*.f64 2 x) (+.f64 2 (/.f64 1 x))) |
(-.f64 (*.f64 x 2) (+.f64 2 (/.f64 1 x))) |
(+.f64 (fma.f64 x 2 -2) (/.f64 -1 x)) |
(+.f64 (/.f64 -1 x) (fma.f64 x 2 -2)) |
(-.f64 (/.f64 -1 x) (fma.f64 x -2 2)) |
(-.f64 (fma.f64 x 2 -2) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 2 x)) (+.f64 2 (/.f64 1 x))) |
(-.f64 (fma.f64 -2 (*.f64 x x) (*.f64 x 2)) (+.f64 2 (/.f64 1 x))) |
(fma.f64 -2 (*.f64 x x) (+.f64 (fma.f64 x 2 -2) (/.f64 -1 x))) |
(+.f64 (/.f64 -1 x) (fma.f64 x (*.f64 x -2) (fma.f64 x 2 -2))) |
(+.f64 -2 (fma.f64 x (fma.f64 x -2 2) (/.f64 -1 x))) |
(/.f64 -3 x) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 3 (/.f64 1 x))) |
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 3 x)) |
(+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 2 (pow.f64 x 3)))) |
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 -3 x) (/.f64 2 (pow.f64 x 3)))) |
(+.f64 (/.f64 -3 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (+.f64 (/.f64 3 x) (/.f64 2 (pow.f64 x 3)))) |
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 3 x) (/.f64 2 (pow.f64 x 3))))) |
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 -3 x)) (/.f64 -2 (pow.f64 x 3)))) |
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 -3 x)) (/.f64 2 (pow.f64 x 3)))) |
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 -3 x) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 -2 (pow.f64 x 3))))) |
(/.f64 -3 x) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 3 (/.f64 1 x))) |
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 3 x)) |
(+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 2 (pow.f64 x 3)))) |
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 -3 x) (/.f64 2 (pow.f64 x 3)))) |
(+.f64 (/.f64 -3 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (+.f64 (/.f64 3 x) (/.f64 2 (pow.f64 x 3)))) |
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 3 x) (/.f64 2 (pow.f64 x 3))))) |
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 -3 x)) (/.f64 -2 (pow.f64 x 3)))) |
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 -3 x)) (/.f64 2 (pow.f64 x 3)))) |
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 -3 x) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 -2 (pow.f64 x 3))))) |
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 x (fma.f64 x 3 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 3 (pow.f64 x 3) (fma.f64 x (+.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 -3 x) (/.f64 -1 (*.f64 x 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 -3 x) (/.f64 -1 (*.f64 x x))) (/.f64 -3 (pow.f64 x 3))) |
(+.f64 (/.f64 -3 x) (*.f64 (/.f64 1 (*.f64 x x)) (-.f64 -1 (/.f64 3 x)))) |
(+.f64 (/.f64 -3 x) (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 1 (/.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 -3 x) (/.f64 -1 (*.f64 x x))) (/.f64 -3 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -3 x) (/.f64 -1 (*.f64 x x))) (-.f64 (/.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 1 (*.f64 x x)) (-.f64 -1 (/.f64 3 x))))) |
(+.f64 (/.f64 -3 x) (+.f64 (/.f64 -1 (pow.f64 x 4)) (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 1 (/.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 -3 x) (/.f64 -1 (*.f64 x 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 -3 x) (/.f64 -1 (*.f64 x x))) (/.f64 -3 (pow.f64 x 3))) |
(+.f64 (/.f64 -3 x) (*.f64 (/.f64 1 (*.f64 x x)) (-.f64 -1 (/.f64 3 x)))) |
(+.f64 (/.f64 -3 x) (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 1 (/.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 -3 x) (/.f64 -1 (*.f64 x x))) (/.f64 -3 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -3 x) (/.f64 -1 (*.f64 x x))) (-.f64 (/.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 1 (*.f64 x x)) (-.f64 -1 (/.f64 3 x))))) |
(+.f64 (/.f64 -3 x) (+.f64 (/.f64 -1 (pow.f64 x 4)) (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 1 (/.f64 3 x))))) |
(/.f64 -1 x) |
(-.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 -1 x)) |
(-.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 -1 x)) |
(-.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 -1 x)) |
1 |
(-.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 -1 x)) |
(-.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 -1 x)) |
(-.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 -1 x)) |
1 |
(-.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 -1 x)) |
(-.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 -1 x)) |
(-.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 -1 x)) |
(/.f64 1 x) |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
1 |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
1 |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.8b | (/.f64 -1 (*.f64 x x)) | |
| 0.0b | (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) | |
| ✓ | 0.0b | (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
| ✓ | 0.8b | (/.f64 -1 (*.f64 x x)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 -1 (*.f64 x x)) |
| 0.0ms | x | @ | 0 | (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
| 0.0ms | x | @ | inf | (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
| 0.0ms | x | @ | inf | (/.f64 -1 (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
| 1× | batch-egg-rewrite |
| 959× | prod-diff_binary64 |
| 575× | unpow-prod-down_binary64 |
| 394× | log-prod_binary64 |
| 323× | fma-def_binary64 |
| 233× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 20 |
| 1 | 184 | 17 |
| 2 | 2687 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 (*.f64 x x)) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 (-.f64 (/.f64 -1 x) -3) x)) (/.f64 (*.f64 9 (pow.f64 x -2)) (/.f64 (-.f64 (/.f64 -1 x) -3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x))) (pow.f64 (cbrt.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x))) 2) (cbrt.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x))) (sqrt.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x))))))) (#(struct:change #<rule 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((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 x 3) (fma.f64 x (*.f64 x -3) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 9 (pow.f64 x -2))) (/.f64 3 (pow.f64 x 3))) (fma.f64 -1 (pow.f64 (pow.f64 x -2) 3) (/.f64 -27 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (-.f64 (/.f64 -1 x) -3) x) (-.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 9 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x (*.f64 x -3) (neg.f64 x)) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 (pow.f64 (pow.f64 x -2) 3) (/.f64 -27 (pow.f64 x 3))) (-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 9 (pow.f64 x -2))) (/.f64 3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 (pow.f64 (pow.f64 x -2) 3) (/.f64 -27 (pow.f64 x 3))) (fma.f64 9 (pow.f64 x -2) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 9 (pow.f64 x -2))) (/.f64 (-.f64 (/.f64 -1 x) -3) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x (*.f64 x -3) (neg.f64 x))) (neg.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -1 (pow.f64 (pow.f64 x -2) 3) (/.f64 -27 (pow.f64 x 3)))) (neg.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 9 (pow.f64 x -2))) (/.f64 3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 9 (pow.f64 x -2)))) (neg.f64 (/.f64 (-.f64 (/.f64 -1 x) -3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 (*.f64 x (neg.f64 x)) -3)) (*.f64 (*.f64 x (neg.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 (*.f64 (*.f64 x x) -1) -3)) (*.f64 (*.f64 (*.f64 x x) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (/.f64 -1 x) x (*.f64 x -3)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 (*.f64 x -1/3) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x -1/3 (*.f64 (*.f64 x (neg.f64 x)) 1)) (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x -1/3 (*.f64 (*.f64 (*.f64 x x) -1) 1)) (*.f64 (*.f64 (*.f64 x x) -1) (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (/.f64 -1 x) (*.f64 x -1/3) x) (*.f64 x (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 (neg.f64 x) (*.f64 (*.f64 x x) 3)) (*.f64 (*.f64 x x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 x (*.f64 (*.f64 x (neg.f64 x)) 3)) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 x (*.f64 (*.f64 (*.f64 x x) -1) 3)) (*.f64 (*.f64 (*.f64 x x) -1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (/.f64 -1 x) (neg.f64 x) (*.f64 x 3)) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x (*.f64 (*.f64 x -1/3) -1)) (*.f64 (*.f64 x -1/3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 3 (*.f64 x x) (*.f64 (neg.f64 x) -1)) (*.f64 (neg.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -3 (*.f64 x (neg.f64 x)) x) (*.f64 x (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x (neg.f64 x) (*.f64 (*.f64 x -1/3) 1)) (*.f64 (*.f64 x -1/3) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 3 (*.f64 x (neg.f64 x)) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -3 (*.f64 (*.f64 x x) -1) x) (*.f64 x (*.f64 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 x x) -1 (*.f64 (*.f64 x -1/3) 1)) (*.f64 (*.f64 x -1/3) (*.f64 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 3 (*.f64 (*.f64 x x) -1) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -3 x (*.f64 x (/.f64 -1 x))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 (*.f64 x -1/3) (/.f64 -1 x))) (*.f64 (*.f64 x -1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 3 x (*.f64 (neg.f64 x) (/.f64 -1 x))) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x (*.f64 x -3) (neg.f64 x)) (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 9 (pow.f64 x -2)) (/.f64 1 (pow.f64 x 4))) (-.f64 (/.f64 -3 x) (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 3) (fma.f64 x (*.f64 x -3) (neg.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 9 (pow.f64 x -2))) (/.f64 3 (pow.f64 x 3))) (fma.f64 -1 (pow.f64 (pow.f64 x -2) 3) (/.f64 -27 (pow.f64 x 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 -1 x) -3) x) (-.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 9 (pow.f64 x -2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (neg.f64 (pow.f64 x -2)))) (exp.f64 (/.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 x -2))) (+.f64 1 (expm1.f64 (/.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (neg.f64 (pow.f64 x -2)))) (+.f64 1 (expm1.f64 (/.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -3 x))) (exp.f64 (neg.f64 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 -3 x)) (+.f64 1 (expm1.f64 (neg.f64 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -3 x))) (+.f64 1 (expm1.f64 (neg.f64 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 x -2)) 1 (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3 (/.f64 1 x) (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -3 x) 1 (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (pow.f64 x -2)) (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -3 x) (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (cbrt.f64 (neg.f64 (pow.f64 x -2))) (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -3 x)) (pow.f64 (cbrt.f64 (/.f64 -3 x)) 2) (neg.f64 (pow.f64 x -2)))))) (#(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 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 -1) x) (/.f64 -3 x))))) (#(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 3 (/.f64 -1 x) (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -2) -1 (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) -3 (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 x) (/.f64 1 x) (/.f64 -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 | 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)) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 5.2b | (-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1))) | |
| 0.1b | (*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1)) | |
| 0.0b | (/.f64 x (+.f64 x 1)) | |
| 0.0b | (/.f64 1 (+.f64 x -1)) | |
| ✓ | 0.0b | (/.f64 1 (+.f64 x -1)) |
| 0.0b | (/.f64 x (+.f64 x 1)) | |
| ✓ | 0.1b | (*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1)) |
| ✓ | 5.2b | (-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 1 (+.f64 x -1)) |
| 0.0ms | x | @ | 0 | (-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1))) |
| 0.0ms | x | @ | inf | (/.f64 1 (+.f64 x -1)) |
| 0.0ms | x | @ | -inf | (/.f64 1 (+.f64 x -1)) |
| 0.0ms | x | @ | inf | (-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1))) |
| 1× | batch-egg-rewrite |
| 574× | log-prod_binary64 |
| 470× | fma-def_binary64 |
| 294× | fma-neg_binary64 |
| 293× | pow2_binary64 |
| 221× | log-div_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 36 |
| 1 | 237 | 36 |
| 2 | 3637 | 36 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1))) |
(*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1)) |
(/.f64 1 (+.f64 x -1)) |
| Outputs |
|---|
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#<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) -1)))) (#(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 log.f64 (*.f64 (exp.f64 (/.f64 1 (+.f64 x -1))) (exp.f64 (/.f64 x (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1)))) (exp.f64 (/.f64 x (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 x (+.f64 x -1))) (+.f64 1 (expm1.f64 (/.f64 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 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))))) (#(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 fma.f64 x (/.f64 1 (+.f64 x -1)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x (+.f64 x -1)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (-.f64 1 x)) (/.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 x -1)) x (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 x -1)) 1 (/.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))) (/.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) x) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) 1) (/.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x -1))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2) (/.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x -1) -1/2) (*.f64 (pow.f64 (+.f64 x -1) -1/2) x) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x -1) -1/2) (*.f64 (pow.f64 (+.f64 x -1) -1/2) 1) (/.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x -1))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (+.f64 x -1)) 1 (/.f64 1 (+.f64 x -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))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x (+.f64 x -1))) (sqrt.f64 (/.f64 x (+.f64 x -1))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) -2) (/.f64 1 (cbrt.f64 (+.f64 x -1))) (/.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (+.f64 x -1) -1/2) (sqrt.f64 x)) (*.f64 (pow.f64 (+.f64 x -1) -1/2) (sqrt.f64 x)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (pow.f64 (+.f64 x -1) -1/2)) (*.f64 (sqrt.f64 x) (pow.f64 (+.f64 x -1) -1/2)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)) (/.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x 1) (/.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (+.f64 x -1)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (+.f64 x -1)) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (pow.f64 (+.f64 x -1) -2))) (/.f64 1 (cbrt.f64 (+.f64 x -1))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (+.f64 x -1) -1/2)) (pow.f64 (+.f64 x -1) -1/2) (/.f64 1 (+.f64 x -1))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x -1) -1/2) (*.f64 (pow.f64 (+.f64 x -1) -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) -2) (/.f64 1 (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 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 1 (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x -1)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x -1)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (-.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x -1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x -1) -3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x -1)))))))) |
| 1× | egg-herbie |
| 811× | times-frac_binary64 |
| 484× | fma-neg_binary64 |
| 368× | sub-neg_binary64 |
| 313× | fma-def_binary64 |
| 280× | distribute-rgt-out_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 503 |
| 1 | 197 | 472 |
| 2 | 578 | 465 |
| 3 | 1736 | 462 |
| 4 | 4747 | 459 |
| 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)))))) |
-1 |
(-.f64 (*.f64 -1 x) 1) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1) |
(/.f64 1 x) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 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)) |
(+.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 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 -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 1 (pow.f64 x 4)) (/.f64 3 (pow.f64 x 3))) (/.f64 3 x))) |
(+.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)) |
(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 -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 1 (pow.f64 x 4)) (/.f64 3 (pow.f64 x 3))) (/.f64 3 x))) |
(+.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) |
(-.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 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))))) |
-1 |
(-.f64 (*.f64 -1 x) 1) |
(fma.f64 -1 x -1) |
(fma.f64 x -1 -1) |
(-.f64 -1 x) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(+.f64 (neg.f64 (*.f64 x x)) (fma.f64 -1 x -1)) |
(fma.f64 -1 (fma.f64 x x x) -1) |
(-.f64 -1 (fma.f64 x x x)) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1) |
(+.f64 (fma.f64 -1 (pow.f64 x 3) (*.f64 -1 (+.f64 (*.f64 x x) x))) -1) |
(+.f64 -1 (-.f64 (neg.f64 (fma.f64 x x x)) (pow.f64 x 3))) |
(-.f64 (-.f64 -1 (fma.f64 x x x)) (pow.f64 x 3)) |
(*.f64 (fma.f64 x x 1) (-.f64 -1 x)) |
(/.f64 1 x) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 4))))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 4))))) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.8b | (/.f64 1 (pow.f64 x 2)) | |
| 0.3b | (*.f64 3 (/.f64 1 x)) | |
| 0.0b | (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) | |
| ✓ | 0.0b | (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
| ✓ | 0.3b | (*.f64 3 (/.f64 1 x)) |
| ✓ | 0.8b | (/.f64 1 (pow.f64 x 2)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 1 (pow.f64 x 2)) |
| 0.0ms | x | @ | 0 | (*.f64 3 (/.f64 1 x)) |
| 0.0ms | x | @ | inf | (*.f64 3 (/.f64 1 x)) |
| 0.0ms | x | @ | -inf | (*.f64 3 (/.f64 1 x)) |
| 0.0ms | x | @ | 0 | (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
| 1× | batch-egg-rewrite |
| 966× | pow1_binary64 |
| 904× | add-log-exp_binary64 |
| 903× | log1p-expm1-u_binary64 |
| 903× | expm1-log1p-u_binary64 |
| 105× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 18 |
| 1 | 222 | 18 |
| 2 | 2745 | 18 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (pow.f64 x 2)) |
(*.f64 3 (/.f64 1 x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1) (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -1) (pow.f64 x -1/2)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -2) (pow.f64 (cbrt.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) -2) (pow.f64 (sqrt.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x -1) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 3 x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -3 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 3 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 27 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 27 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 3 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x -4) (-.f64 (pow.f64 x -2) (/.f64 3 x))) (/.f64 (/.f64 9 (*.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (pow.f64 x -2) (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))) (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x)) 2)) (cbrt.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))) (sqrt.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x -6) (/.f64 27 (pow.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 x -4) (*.f64 (/.f64 3 x) (-.f64 (/.f64 3 x) (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x -4) (/.f64 9 (*.f64 x x))) (/.f64 1 (-.f64 (pow.f64 x -2) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x -4) (*.f64 (/.f64 3 x) (-.f64 (/.f64 3 x) (pow.f64 x -2)))) (+.f64 (pow.f64 x -6) (/.f64 27 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 x -2) (/.f64 3 x)) (-.f64 (pow.f64 x -4) (/.f64 9 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x -6) (/.f64 27 (pow.f64 x 3))) (+.f64 (pow.f64 x -4) (*.f64 (/.f64 3 x) (-.f64 (/.f64 3 x) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x -6) (/.f64 27 (pow.f64 x 3))) (+.f64 (/.f64 9 (*.f64 x x)) (-.f64 (pow.f64 x -4) (/.f64 3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -4) (/.f64 9 (*.f64 x x))) (-.f64 (pow.f64 x -2) (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x -6) (/.f64 27 (pow.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 x -4) (*.f64 (/.f64 3 x) (-.f64 (/.f64 3 x) (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x -4) (/.f64 9 (*.f64 x x)))) (neg.f64 (-.f64 (pow.f64 x -2) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 (*.f64 x x) 3)) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 x) (*.f64 (neg.f64 (*.f64 x x)) 3)) (*.f64 (neg.f64 (*.f64 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 3 (*.f64 x x)) x) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 3 (neg.f64 (*.f64 x x))) (*.f64 x -1)) (*.f64 x (neg.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 9 (*.f64 x x)) (pow.f64 x -4)) (-.f64 (/.f64 3 x) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 x -2) (/.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 3 x) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (pow.f64 x -1) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1) 3 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1) (pow.f64 x -1) (/.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 9 (*.f64 x x))) (cbrt.f64 (/.f64 3 x)) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 x -2)) (/.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 3 x)) (sqrt.f64 (/.f64 3 x)) (pow.f64 x -2)))))) |
| 1× | egg-herbie |
| 1358× | associate-/r*_binary64 |
| 1107× | sqr-pow_binary64 |
| 561× | cube-prod_binary64 |
| 558× | fabs-mul_binary64 |
| 536× | pow-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 63 |
| 1 | 14 | 63 |
| 2 | 21 | 63 |
| 3 | 38 | 63 |
| 4 | 81 | 63 |
| 5 | 234 | 63 |
| 6 | 877 | 63 |
| 7 | 2167 | 63 |
| 8 | 2333 | 63 |
| 9 | 2517 | 63 |
| 10 | 2725 | 63 |
| 11 | 3018 | 63 |
| 12 | 3409 | 63 |
| 13 | 3889 | 63 |
| 14 | 4450 | 63 |
| 15 | 5140 | 63 |
| 16 | 5977 | 63 |
| 17 | 6375 | 63 |
| 18 | 6663 | 63 |
| 19 | 6939 | 63 |
| 20 | 7011 | 63 |
| 21 | 7045 | 63 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 3 x) |
(/.f64 3 x) |
| Outputs |
|---|
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(/.f64 3 x) |
(/.f64 3 x) |
Compiled 22774 to 16766 computations (26.4% saved)
15 alts after pruning (10 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 900 | 8 | 908 |
| Fresh | 5 | 2 | 7 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 5 | 5 |
| Total | 906 | 15 | 921 |
| Status | Error | Program |
|---|---|---|
| 30.1b | (-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1))) | |
| ✓ | 34.2b | (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
| ✓ | 27.3b | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| ▶ | 27.7b | (fma.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 x)) (/.f64 x (+.f64 x 1))) |
| ✓ | 33.6b | (/.f64 -3 x) |
| ▶ | 34.4b | (neg.f64 (+.f64 (*.f64 -1 (/.f64 1 (neg.f64 (*.f64 x x)))) (*.f64 3 (/.f64 1 x)))) |
| ▶ | 30.1b | (+.f64 (*.f64 3 x) 1) |
| 29.8b | 1 | |
| ✓ | 27.3b | (-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1))) |
| 27.4b | (*.f64 (/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (+.f64 x 1) x)) (+.f64 x -1)) x) | |
| 27.3b | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (/.f64 (+.f64 x -1) (+.f64 x 1)))) | |
| ▶ | 27.3b | (pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (+.f64 x 1) x)) (/.f64 (+.f64 x -1) x))) 3) |
| ✓ | 27.3b | (/.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)))) |
| ▶ | 33.9b | (+.f64 (/.f64 -3 x) (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 1 (/.f64 3 x)))) |
| 34.1b | (neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
Compiled 362 to 274 computations (24.3% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (+.f64 x 1) x)) (/.f64 (+.f64 x -1) x)) | |
| 0.0b | (/.f64 (+.f64 x 1) x) | |
| 0.0b | (/.f64 (+.f64 x -1) x) | |
| 0.0b | (/.f64 (+.f64 x -1) (+.f64 x 1)) | |
| ✓ | 0.0b | (/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (+.f64 x 1) x)) (/.f64 (+.f64 x -1) x)) |
| ✓ | 0.0b | (cbrt.f64 (/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (+.f64 x 1) x)) (/.f64 (+.f64 x -1) x))) |
| ✓ | 0.1b | (pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (+.f64 x 1) x)) (/.f64 (+.f64 x -1) x))) 3) |
| ✓ | 2.0b | (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (+.f64 x 1) x)) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (+.f64 x 1) x)) (/.f64 (+.f64 x -1) x))) 3) |
| 2.0ms | x | @ | inf | (pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (+.f64 x 1) x)) (/.f64 (+.f64 x -1) x))) 3) |
| 1.0ms | x | @ | inf | (cbrt.f64 (/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (+.f64 x 1) x)) (/.f64 (+.f64 x -1) x))) |
| 0.0ms | x | @ | -inf | (cbrt.f64 (/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (+.f64 x 1) x)) (/.f64 (+.f64 x -1) x))) |
| 0.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (+.f64 x 1) x)) (/.f64 (+.f64 x -1) x))) 3) |
| 1× | batch-egg-rewrite |
| 508× | fma-def_binary64 |
| 425× | log-div_binary64 |
| 340× | fma-neg_binary64 |
| 263× | expm1-udef_binary64 |
| 263× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 105 |
| 1 | 334 | 105 |
| 2 | 5047 | 105 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (+.f64 x 1) x)) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (+.f64 x 1) x)) (/.f64 (+.f64 x -1) x))) 3) |
(cbrt.f64 (/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (+.f64 x 1) x)) (/.f64 (+.f64 x -1) x))) |
(/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (+.f64 x 1) x)) (/.f64 (+.f64 x -1) x)) |
| Outputs |
|---|
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x 1))) (/.f64 1 x)) (neg.f64 (*.f64 (/.f64 (+.f64 x 1) x) (/.f64 x (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 x -1) 1) (/.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (+.f64 x -1) x)) (neg.f64 (*.f64 (/.f64 (+.f64 x 1) x) (/.f64 x (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) (/.f64 (+.f64 x -1) x)) (neg.f64 (*.f64 (/.f64 (+.f64 x 1) x) (/.f64 x (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) 1) (/.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) (/.f64 (+.f64 x -1) x)) (neg.f64 (*.f64 (/.f64 (+.f64 x 1) x) (/.f64 x (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 x -1) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) x)) 2)) (/.f64 (/.f64 1 (+.f64 x 1)) (cbrt.f64 (/.f64 (+.f64 x -1) x))) (neg.f64 (*.f64 (/.f64 (+.f64 x 1) x) (/.f64 x (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) 2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) x)) 2)) (/.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) (cbrt.f64 (/.f64 (+.f64 x -1) x))) (neg.f64 (*.f64 (/.f64 (+.f64 x 1) x) (/.f64 x (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) x)) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) (cbrt.f64 (/.f64 (+.f64 x -1) x))) (neg.f64 (*.f64 (/.f64 (+.f64 x 1) x) (/.f64 x (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 x -1) (sqrt.f64 (/.f64 (+.f64 x -1) x))) (/.f64 (/.f64 1 (+.f64 x 1)) (sqrt.f64 (/.f64 (+.f64 x -1) x))) (neg.f64 (*.f64 (/.f64 (+.f64 x 1) x) (/.f64 x (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) 2) (sqrt.f64 (/.f64 (+.f64 x -1) x))) (/.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) (sqrt.f64 (/.f64 (+.f64 x -1) x))) (neg.f64 (*.f64 (/.f64 (+.f64 x 1) x) (/.f64 x (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) (sqrt.f64 (/.f64 (+.f64 x -1) x))) (/.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) (sqrt.f64 (/.f64 (+.f64 x -1) x))) (neg.f64 (*.f64 (/.f64 (+.f64 x 1) x) (/.f64 x (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (+.f64 x -1)) x (neg.f64 (*.f64 (/.f64 (+.f64 x 1) x) (/.f64 x (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) 1) (/.f64 x (+.f64 x -1)) (neg.f64 (*.f64 (/.f64 (+.f64 x 1) x) (/.f64 x (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (-.f64 1 x)) (neg.f64 x) (neg.f64 (*.f64 (/.f64 (+.f64 x 1) x) (/.f64 x (+.f64 x -1))))))))) |
| 1× | egg-herbie |
| 680× | fma-def_binary64 |
| 621× | associate-/l/_binary64 |
| 458× | associate-/l*_binary64 |
| 345× | sub-neg_binary64 |
| 295× | distribute-neg-frac_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 442 |
| 1 | 177 | 416 |
| 2 | 504 | 414 |
| 3 | 1472 | 405 |
| 4 | 4490 | 399 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 x) |
(neg.f64 (+.f64 2 (/.f64 1 x))) |
(-.f64 (*.f64 2 x) (+.f64 2 (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 2 x)) (+.f64 2 (/.f64 1 x))) |
(/.f64 -3 x) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 3 (/.f64 1 x))) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(/.f64 -3 x) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 3 (/.f64 1 x))) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
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)))) |
1 |
(+.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 x 2)) x)) |
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 x 2)) 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)))))) |
| Outputs |
|---|
(/.f64 -1 x) |
(neg.f64 (+.f64 2 (/.f64 1 x))) |
(+.f64 -2 (/.f64 -1 x)) |
(-.f64 (*.f64 2 x) (+.f64 2 (/.f64 1 x))) |
(-.f64 (*.f64 x 2) (+.f64 2 (/.f64 1 x))) |
(+.f64 (fma.f64 x 2 -2) (/.f64 -1 x)) |
(-.f64 (fma.f64 x 2 -2) (/.f64 1 x)) |
(+.f64 (/.f64 -1 x) (fma.f64 x 2 -2)) |
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 2 x)) (+.f64 2 (/.f64 1 x))) |
(-.f64 (fma.f64 -2 (*.f64 x x) (*.f64 x 2)) (+.f64 2 (/.f64 1 x))) |
(fma.f64 -2 (*.f64 x x) (+.f64 (fma.f64 x 2 -2) (/.f64 -1 x))) |
(fma.f64 x (*.f64 x -2) (-.f64 (fma.f64 x 2 -2) (/.f64 1 x))) |
(+.f64 -2 (fma.f64 x (fma.f64 x -2 2) (/.f64 -1 x))) |
(/.f64 -3 x) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 3 (/.f64 1 x))) |
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 3 x)) |
(+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 2 (pow.f64 x 3)))) |
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 -3 x) (/.f64 2 (pow.f64 x 3)))) |
(+.f64 (/.f64 -3 x) (+.f64 (/.f64 -2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x)))) |
(+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -2 (pow.f64 x 3))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (+.f64 (/.f64 3 x) (/.f64 2 (pow.f64 x 3)))) |
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 3 x) (/.f64 2 (pow.f64 x 3))))) |
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 -3 x) (+.f64 (/.f64 -2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x))))) |
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -2 (pow.f64 x 3)))) |
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 -3 x) (/.f64 -2 (pow.f64 x 3))))) |
(/.f64 -3 x) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 3 (/.f64 1 x))) |
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 3 x)) |
(+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 2 (pow.f64 x 3)))) |
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 -3 x) (/.f64 2 (pow.f64 x 3)))) |
(+.f64 (/.f64 -3 x) (+.f64 (/.f64 -2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x)))) |
(+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -2 (pow.f64 x 3))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (+.f64 (/.f64 3 x) (/.f64 2 (pow.f64 x 3)))) |
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 3 x) (/.f64 2 (pow.f64 x 3))))) |
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 -3 x) (+.f64 (/.f64 -2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x))))) |
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -2 (pow.f64 x 3)))) |
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 -3 x) (/.f64 -2 (pow.f64 x 3))))) |
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 x (fma.f64 x 3 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)) |
1 |
(+.f64 1 x) |
(+.f64 x 1) |
(+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 x 2)) x)) |
(+.f64 1 (fma.f64 -2/3 (*.f64 x x) x)) |
(+.f64 1 (fma.f64 (*.f64 x x) -2/3 x)) |
(fma.f64 x (*.f64 x -2/3) (+.f64 x 1)) |
(fma.f64 (fma.f64 x -2/3 1) x 1) |
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -2/3 (pow.f64 x 2)) x))) |
(fma.f64 2 (pow.f64 x 3) (+.f64 1 (fma.f64 -2/3 (*.f64 x x) x))) |
(+.f64 (fma.f64 (*.f64 x x) -2/3 x) (fma.f64 2 (pow.f64 x 3) 1)) |
(fma.f64 2 (pow.f64 x 3) (fma.f64 x (*.f64 x -2/3) (+.f64 x 1))) |
(fma.f64 2 (pow.f64 x 3) (fma.f64 (fma.f64 x -2/3 1) x 1)) |
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 x (fma.f64 x 3 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 -3 x) (/.f64 -1 (*.f64 x x))) |
(+.f64 (/.f64 -3 x) (/.f64 (/.f64 -1 x) 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 -3 x) (/.f64 -1 (*.f64 x x))) (/.f64 -3 (pow.f64 x 3))) |
(+.f64 (+.f64 (/.f64 -3 x) (/.f64 (/.f64 -1 x) x)) (/.f64 -3 (pow.f64 x 3))) |
(-.f64 (/.f64 -3 x) (*.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 3 x) -1))) |
(-.f64 (/.f64 -3 x) (*.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) 1))) |
(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 -3 x) (/.f64 -1 (*.f64 x x))) (/.f64 -3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -3 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 -3 x) (/.f64 (/.f64 -1 x) x)) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 -3 x) (+.f64 (/.f64 -3 (pow.f64 x 3)) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 -3 x) (+.f64 (/.f64 -3 (pow.f64 x 3)) (+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -1 (*.f64 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 -3 x) (/.f64 -1 (*.f64 x x))) |
(+.f64 (/.f64 -3 x) (/.f64 (/.f64 -1 x) 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 -3 x) (/.f64 -1 (*.f64 x x))) (/.f64 -3 (pow.f64 x 3))) |
(+.f64 (+.f64 (/.f64 -3 x) (/.f64 (/.f64 -1 x) x)) (/.f64 -3 (pow.f64 x 3))) |
(-.f64 (/.f64 -3 x) (*.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 3 x) -1))) |
(-.f64 (/.f64 -3 x) (*.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) 1))) |
(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 -3 x) (/.f64 -1 (*.f64 x x))) (/.f64 -3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -3 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 -3 x) (/.f64 (/.f64 -1 x) x)) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 -3 x) (+.f64 (/.f64 -3 (pow.f64 x 3)) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 -3 x) (+.f64 (/.f64 -3 (pow.f64 x 3)) (+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -1 (*.f64 x x))))) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.8b | (/.f64 -1 (*.f64 x x)) | |
| 0.1b | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 1 (/.f64 3 x))) | |
| 0.0b | (+.f64 (/.f64 -3 x) (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 1 (/.f64 3 x)))) | |
| ✓ | 0.0b | (+.f64 (/.f64 -3 x) (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 1 (/.f64 3 x)))) |
| ✓ | 0.1b | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 1 (/.f64 3 x))) |
| 0.8b | (/.f64 -1 (*.f64 x x)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 1 (/.f64 3 x))) |
| 1.0ms | x | @ | -inf | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 1 (/.f64 3 x))) |
| 1.0ms | x | @ | inf | (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 1 (/.f64 3 x))) |
| 0.0ms | x | @ | 0 | (+.f64 (/.f64 -3 x) (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 1 (/.f64 3 x)))) |
| 0.0ms | x | @ | inf | (+.f64 (/.f64 -3 x) (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 1 (/.f64 3 x)))) |
| 1× | batch-egg-rewrite |
| 629× | fma-def_binary64 |
| 571× | log-prod_binary64 |
| 290× | log-div_binary64 |
| 276× | fma-neg_binary64 |
| 222× | pow1/3_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 38 |
| 1 | 292 | 33 |
| 2 | 4241 | 32 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 1 (/.f64 3 x))) |
(+.f64 (/.f64 -3 x) (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 1 (/.f64 3 x)))) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -3 x)) (sqrt.f64 (/.f64 -3 x)) (*.f64 (fma.f64 -1 (/.f64 -3 x) -1) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 -3 x))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 -3 x))) (neg.f64 (pow.f64 x -2))) (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (fma.f64 -1 (/.f64 -3 x) -1)) x) (/.f64 (sqrt.f64 (fma.f64 -1 (/.f64 -3 x) -1)) x) (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -2) -1 (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) 3 (*.f64 (fma.f64 -1 (/.f64 -3 x) -1) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) -3 (*.f64 (fma.f64 -1 (/.f64 -3 x) -1) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 x) (/.f64 1 x) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 x) (/.f64 (+.f64 1 (/.f64 -3 x)) x) (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1 (/.f64 -3 x) -1) (pow.f64 x -2) (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (+.f64 1 (/.f64 -3 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -3 x))) 2)) (cbrt.f64 (+.f64 1 (/.f64 -3 x))) (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 (pow.f64 x -2)) (sqrt.f64 (+.f64 1 (/.f64 -3 x)))) (sqrt.f64 (+.f64 1 (/.f64 -3 x))) (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 1 (/.f64 -3 x)) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) (cbrt.f64 (neg.f64 (pow.f64 x -2))) (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 1 (/.f64 -3 x)) (/.f64 (sqrt.f64 -1) x)) (/.f64 (sqrt.f64 -1) x) (/.f64 -3 x)))))) |
| 1× | egg-herbie |
| 562× | times-frac_binary64 |
| 536× | unswap-sqr_binary64 |
| 465× | associate-/r*_binary64 |
| 430× | associate-*l/_binary64 |
| 415× | fma-def_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 390 |
| 1 | 66 | 354 |
| 2 | 162 | 354 |
| 3 | 436 | 354 |
| 4 | 1394 | 306 |
| 5 | 6478 | 306 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -3 (pow.f64 x 3)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))) |
(/.f64 -1 (pow.f64 x 2)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))) |
(/.f64 -1 (pow.f64 x 2)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))) |
(/.f64 -3 (pow.f64 x 3)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (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 3 (/.f64 1 (pow.f64 x 3))) (+.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))))) |
(/.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 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
| Outputs |
|---|
(/.f64 -3 (pow.f64 x 3)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)) |
(/.f64 -3 (pow.f64 x 3)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))) |
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.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 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (/.f64 -3 (pow.f64 x 3))) |
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))) |
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.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 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (/.f64 -3 (pow.f64 x 3))) |
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 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 -3 x) (/.f64 1 (*.f64 x 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 3 (pow.f64 x 3)) (+.f64 (/.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 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (/.f64 -3 (pow.f64 x 3))) |
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x 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 3 (pow.f64 x 3)) (+.f64 (/.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 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (/.f64 -3 (pow.f64 x 3))) |
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 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 -3 x) (/.f64 1 (*.f64 x 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 3 (pow.f64 x 3)) (+.f64 (/.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 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (/.f64 -3 (pow.f64 x 3))) |
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x 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 3 (pow.f64 x 3)) (+.f64 (/.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 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (/.f64 -3 (pow.f64 x 3))) |
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x))) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.8b | (/.f64 1 (neg.f64 (*.f64 x x))) | |
| 0.3b | (*.f64 3 (/.f64 1 x)) | |
| 0.0b | (+.f64 (*.f64 -1 (/.f64 1 (neg.f64 (*.f64 x x)))) (*.f64 3 (/.f64 1 x))) | |
| ✓ | 0.0b | (+.f64 (*.f64 -1 (/.f64 1 (neg.f64 (*.f64 x x)))) (*.f64 3 (/.f64 1 x))) |
| 0.3b | (*.f64 3 (/.f64 1 x)) | |
| ✓ | 0.8b | (/.f64 1 (neg.f64 (*.f64 x x))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 1 (neg.f64 (*.f64 x x))) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 -1 (/.f64 1 (neg.f64 (*.f64 x x)))) (*.f64 3 (/.f64 1 x))) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 -1 (/.f64 1 (neg.f64 (*.f64 x x)))) (*.f64 3 (/.f64 1 x))) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 -1 (/.f64 1 (neg.f64 (*.f64 x x)))) (*.f64 3 (/.f64 1 x))) |
| 0.0ms | x | @ | inf | (/.f64 1 (neg.f64 (*.f64 x x))) |
| 1× | batch-egg-rewrite |
| 953× | pow1_binary64 |
| 888× | add-log-exp_binary64 |
| 886× | log1p-expm1-u_binary64 |
| 886× | expm1-log1p-u_binary64 |
| 121× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 24 |
| 1 | 256 | 14 |
| 2 | 3366 | 14 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (neg.f64 (*.f64 x x))) |
(+.f64 (*.f64 -1 (/.f64 1 (neg.f64 (*.f64 x x)))) (*.f64 3 (/.f64 1 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (pow.f64 (neg.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (neg.f64 (cbrt.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (pow.f64 x -1/2)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 1 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (neg.f64 x) -1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2)) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (/.f64 1 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2)) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 3 x) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (pow.f64 x -2) (/.f64 3 x))) (/.f64 (*.f64 (pow.f64 x -2) 9) (-.f64 (pow.f64 x -2) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (pow.f64 x -2) (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))) (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x)) 2)) (cbrt.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))) (sqrt.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (pow.f64 x -2) 3) (/.f64 27 (pow.f64 x 3))) (/.f64 1 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 (pow.f64 x -2) 9) (/.f64 -3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 (pow.f64 x -2) 9)) (/.f64 1 (-.f64 (pow.f64 x -2) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 (pow.f64 x -2) 9) (/.f64 -3 (pow.f64 x 3)))) (+.f64 (pow.f64 (pow.f64 x -2) 3) (/.f64 27 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 x -2) (/.f64 3 x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 (pow.f64 x -2) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (pow.f64 x -2) 3) (/.f64 27 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 (pow.f64 x -2) 9) (/.f64 -3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (pow.f64 x -2) 3) (/.f64 27 (pow.f64 x 3))) (+.f64 (*.f64 (pow.f64 x -2) 9) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 (pow.f64 x -2) 9)) (-.f64 (pow.f64 x -2) (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (pow.f64 x -2) 3) (/.f64 27 (pow.f64 x 3)))) (neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (*.f64 (pow.f64 x -2) 9) (/.f64 -3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 (pow.f64 x -2) 9))) (neg.f64 (-.f64 (pow.f64 x -2) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 x) (*.f64 (*.f64 x x) 3)) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 3 (*.f64 x x)) (*.f64 x -1)) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x -2) 9) (/.f64 1 (pow.f64 x 4))) (+.f64 (pow.f64 x -2) (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 x -2) (/.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 3 x) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (pow.f64 x -2) (/.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -2) -1 (/.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (/.f64 1 x) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) 3 (pow.f64 x -2))))) (#(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 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) (cbrt.f64 (/.f64 3 x)) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (cbrt.f64 (pow.f64 x -2)) (/.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 3 x)) (sqrt.f64 (/.f64 3 x)) (pow.f64 x -2)))))) |
| 1× | egg-herbie |
| 997× | associate-/l*_binary64 |
| 960× | associate-*l/_binary64 |
| 822× | associate-/r/_binary64 |
| 449× | sqr-pow_binary64 |
| 434× | unswap-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 216 |
| 1 | 22 | 216 |
| 2 | 33 | 216 |
| 3 | 54 | 216 |
| 4 | 115 | 216 |
| 5 | 332 | 216 |
| 6 | 1262 | 216 |
| 7 | 2809 | 216 |
| 8 | 3163 | 216 |
| 9 | 3502 | 216 |
| 10 | 3787 | 216 |
| 11 | 4150 | 216 |
| 12 | 4624 | 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)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(/.f64 3 x) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(/.f64 3 x) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(+.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 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) |
(/.f64 3 x) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) |
(/.f64 3 x) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 27.7b | (fma.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 x)) (/.f64 x (+.f64 x 1))) | |
| 0.0b | (/.f64 x (+.f64 x 1)) | |
| 0.0b | (/.f64 1 (-.f64 1 x)) | |
| ✓ | 0.0b | (/.f64 1 (-.f64 1 x)) |
| 0.0b | (/.f64 x (+.f64 x 1)) | |
| ✓ | 27.7b | (fma.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 x)) (/.f64 x (+.f64 x 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (fma.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 x)) (/.f64 x (+.f64 x 1))) |
| 0.0ms | x | @ | inf | (fma.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 x)) (/.f64 x (+.f64 x 1))) |
| 0.0ms | x | @ | -inf | (fma.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 x)) (/.f64 x (+.f64 x 1))) |
| 0.0ms | x | @ | inf | (/.f64 1 (-.f64 1 x)) |
| 0.0ms | x | @ | 0 | (/.f64 1 (-.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 627× | unpow-prod-down_binary64 |
| 451× | prod-diff_binary64 |
| 426× | log-prod_binary64 |
| 268× | pow-prod-down_binary64 |
| 234× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 27 |
| 1 | 183 | 26 |
| 2 | 2569 | 26 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 x)) (/.f64 x (+.f64 x 1))) |
(/.f64 1 (-.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)) 1) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 1 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 1 x)))) (sqrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 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((x pow.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 1 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 x (+.f64 x 1))) (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x 1)))) (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))) (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 1 x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 1 (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 x) -1/2) (pow.f64 (-.f64 1 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.f64 (/.f64 1 (neg.f64 (-.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (pow.f64 x 3))) (pow.f64 (/.f64 1 (fma.f64 x (+.f64 x 1) 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (pow.f64 (/.f64 1 (+.f64 x 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (pow.f64 x 3))) -1) (/.f64 1 (-.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 x x)) (fma.f64 x x -1)) -1) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (-.f64 1 (pow.f64 x 3))) 1) (fma.f64 x (+.f64 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) 1) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 x) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 x) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 1 x) -2) (pow.f64 (cbrt.f64 (-.f64 1 x)) -2)) 1/3) (cbrt.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 1 x) -2) (pow.f64 (-.f64 1 x) -1/2)) 1/3) (cbrt.f64 (pow.f64 (-.f64 1 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x)))) 2) 3) (/.f64 1 (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 x) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 x) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 x) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 x) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 x)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 x)))))))) |
| 1× | egg-herbie |
| 653× | times-frac_binary64 |
| 521× | fma-def_binary64 |
| 366× | sub-neg_binary64 |
| 355× | associate-/l/_binary64 |
| 353× | associate-*l/_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 370 |
| 1 | 139 | 338 |
| 2 | 421 | 335 |
| 3 | 1258 | 333 |
| 4 | 3598 | 330 |
| 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 1 x) |
(+.f64 1 (+.f64 (pow.f64 x 2) x)) |
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 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)) |
(+.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 -3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -3 x))) |
(+.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.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 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 3 x)))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (-.f64 (/.f64 -3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (/.f64 -3 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.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 (/.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 -3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -3 x))) |
(+.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.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 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 3 x)))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (-.f64 (/.f64 -3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (/.f64 -3 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) (/.f64 -1 (pow.f64 x 4)))) |
1 |
(+.f64 1 x) |
(+.f64 1 (+.f64 (pow.f64 x 2) x)) |
(+.f64 (+.f64 1 (*.f64 x x)) x) |
(+.f64 1 (fma.f64 x x x)) |
(+.f64 x (fma.f64 x x 1)) |
(fma.f64 x x (+.f64 1 x)) |
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))) |
(+.f64 1 (+.f64 (*.f64 x x) (+.f64 x (pow.f64 x 3)))) |
(+.f64 1 (+.f64 x (fma.f64 x x (pow.f64 x 3)))) |
(fma.f64 x (fma.f64 x x x) (+.f64 1 x)) |
(*.f64 (fma.f64 x x 1) (+.f64 1 x)) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) |
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))) |
(+.f64 (/.f64 (/.f64 -1 x) x) (-.f64 (/.f64 -1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 -1 x) (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 (pow.f64 x 3)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 -1 x) x) (-.f64 (/.f64 -1 x) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 -1 x) (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 (pow.f64 x 3))))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) |
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))) |
(+.f64 (/.f64 (/.f64 -1 x) x) (-.f64 (/.f64 -1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 -1 x) (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 (pow.f64 x 3)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 -1 x) x) (-.f64 (/.f64 -1 x) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 -1 x) (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 (pow.f64 x 3))))) |
Compiled 19673 to 14901 computations (24.3% saved)
15 alts after pruning (7 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 805 | 4 | 809 |
| Fresh | 2 | 3 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 7 | 9 |
| Total | 809 | 15 | 824 |
| Status | Error | Program |
|---|---|---|
| ▶ | 30.1b | (-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| ✓ | 34.2b | (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
| ▶ | 33.9b | (-.f64 (/.f64 -3 x) (/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x))) |
| ✓ | 27.3b | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| ✓ | 27.7b | (fma.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 x)) (/.f64 x (+.f64 x 1))) |
| 34.1b | (neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))) | |
| ✓ | 33.6b | (/.f64 -3 x) |
| ✓ | 30.1b | (+.f64 (*.f64 3 x) 1) |
| 29.8b | 1 | |
| ✓ | 27.3b | (-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1))) |
| ✓ | 27.3b | (/.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)))) |
| ▶ | 34.4b | (neg.f64 (+.f64 (*.f64 -1 (/.f64 -1 (*.f64 x x))) (*.f64 3 (/.f64 1 x)))) |
| ✓ | 27.3b | (pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (+.f64 x 1) x)) (/.f64 (+.f64 x -1) x))) 3) |
| ▶ | 27.3b | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (/.f64 (+.f64 x -1) (+.f64 x 1)))) |
| ▶ | 27.4b | (*.f64 (/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (+.f64 x 1) x)) (+.f64 x -1)) x) |
Compiled 312 to 235 computations (24.7% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 2.1b | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (/.f64 (+.f64 x -1) (+.f64 x 1)))) | |
| 0.0b | (/.f64 1 (/.f64 (+.f64 x -1) (+.f64 x 1))) | |
| 0.0b | (/.f64 x (+.f64 x 1)) | |
| 0.0b | (/.f64 (+.f64 x -1) (+.f64 x 1)) | |
| ✓ | 0.0b | (/.f64 (+.f64 x -1) (+.f64 x 1)) |
| 0.0b | (/.f64 x (+.f64 x 1)) | |
| ✓ | 0.0b | (/.f64 1 (/.f64 (+.f64 x -1) (+.f64 x 1))) |
| ✓ | 2.1b | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (/.f64 (+.f64 x -1) (+.f64 x 1)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (+.f64 x -1) (+.f64 x 1)) |
| 0.0ms | x | @ | 0 | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (/.f64 (+.f64 x -1) (+.f64 x 1)))) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 x -1) (+.f64 x 1)) |
| 0.0ms | x | @ | -inf | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (/.f64 (+.f64 x -1) (+.f64 x 1)))) |
| 0.0ms | x | @ | inf | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (/.f64 (+.f64 x -1) (+.f64 x 1)))) |
| 1× | batch-egg-rewrite |
| 592× | log-prod_binary64 |
| 470× | fma-def_binary64 |
| 300× | pow2_binary64 |
| 288× | log-div_binary64 |
| 287× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 45 |
| 1 | 239 | 39 |
| 2 | 3821 | 39 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (/.f64 (+.f64 x -1) (+.f64 x 1)))) |
(/.f64 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)) (neg.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 x 1)) (*.f64 (neg.f64 (/.f64 (+.f64 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 (neg.f64 (/.f64 (+.f64 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 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 2) (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) (+.f64 (neg.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 x (+.f64 x 1)) (/.f64 (+.f64 x 1) 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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 cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x -1) 3)))))) (#(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 (log.f64 (+.f64 x -1)) (log1p.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 (+.f64 x -1))) 1))))) (#(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 fma.f64 x (/.f64 1 (+.f64 x -1)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (+.f64 x -1)) (*.f64 x (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 x -1)) x (*.f64 (/.f64 1 (+.f64 x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 x -1)) 1 (*.f64 (/.f64 1 (+.f64 x -1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 x -1))) 2) (cbrt.f64 (/.f64 1 (+.f64 x -1))) (*.f64 x (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1 (+.f64 x -1))) (sqrt.f64 (/.f64 1 (+.f64 x -1))) (*.f64 x (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x 1) (*.f64 x (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)) (*.f64 x (/.f64 1 (+.f64 x -1)))))))) |
((#(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 (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 (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 (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))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.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 (cbrt.f64 (pow.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 (-.f64 1 x) (/.f64 1 (fma.f64 x -1 -1)))))) (#(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 (cbrt.f64 (pow.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 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (/.f64 (+.f64 x -1) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) 2)) (cbrt.f64 (pow.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)) (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (/.f64 (sqrt.f64 (+.f64 x -1)) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 x -1) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.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) 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 (/.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 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) 3) 1/3)))) (#(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 (/.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 x 1) 3)) 1/3)))) (#(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) (fma.f64 x -1 -1)))))) (#(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 cbrt.f64 (/.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 x 1) 3)))))) (#(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 (log.f64 (+.f64 x -1)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 x -1)) (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)))))))) |
| 1× | egg-herbie |
| 561× | associate-/l/_binary64 |
| 435× | associate-/l*_binary64 |
| 327× | sub-neg_binary64 |
| 318× | fma-def_binary64 |
| 299× | fma-neg_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 463 |
| 1 | 208 | 436 |
| 2 | 608 | 432 |
| 3 | 1731 | 431 |
| 4 | 4302 | 428 |
| 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)))))) |
-1 |
(-.f64 (*.f64 2 x) 1) |
(-.f64 (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2))) 1) |
(-.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2)))) 1) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.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)) |
(+.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 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)))) |
(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 (*.f64 x x)) (+.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 1 (pow.f64 x 4)) (/.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)) |
(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)))) |
(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 (*.f64 x x)) (+.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 1 (pow.f64 x 4)) (/.f64 -3 x)))) |
-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 (*.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) |
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))))) |
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))))) |
-1 |
(-.f64 (*.f64 2 x) 1) |
(fma.f64 2 x -1) |
(fma.f64 x 2 -1) |
(-.f64 (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2))) 1) |
(+.f64 (fma.f64 2 x (*.f64 (*.f64 x x) -2)) -1) |
(fma.f64 x 2 (fma.f64 (*.f64 x x) -2 -1)) |
(fma.f64 x 2 (fma.f64 x (*.f64 x -2) -1)) |
(fma.f64 x (+.f64 2 (*.f64 x -2)) -1) |
(-.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2)))) 1) |
(+.f64 (fma.f64 2 (pow.f64 x 3) (fma.f64 2 x (*.f64 (*.f64 x x) -2))) -1) |
(fma.f64 2 (pow.f64 x 3) (fma.f64 x 2 (fma.f64 (*.f64 x x) -2 -1))) |
(fma.f64 2 (+.f64 x (pow.f64 x 3)) (fma.f64 x (*.f64 x -2) -1)) |
(fma.f64 2 (pow.f64 x 3) (fma.f64 x (+.f64 2 (*.f64 x -2)) -1)) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 x))) |
(-.f64 1 (/.f64 2 x)) |
(+.f64 1 (/.f64 -2 x)) |
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x))) |
(+.f64 1 (-.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 x))) |
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -2 x))) |
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.f64 -2 x))) |
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))) |
(+.f64 1 (-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 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))))) |
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 -2 (pow.f64 x 3)) (+.f64 1 (/.f64 -2 x)))) |
(+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.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 -2 x)) |
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 x))) |
(+.f64 1 (-.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 x))) |
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -2 x))) |
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.f64 -2 x))) |
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))) |
(+.f64 1 (-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 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))))) |
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 -2 (pow.f64 x 3)) (+.f64 1 (/.f64 -2 x)))) |
(+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.f64 -2 x))) (/.f64 -2 (pow.f64 x 3))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 (+.f64 x 1) (-.f64 x 1)) | |
| 0.0b | (-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1))) | |
| ✓ | 0.0b | (-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 0.0b | (/.f64 (+.f64 x 1) (-.f64 x 1)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 0.0ms | x | @ | -inf | (-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 0.0ms | 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 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 expm1.f64 (log1p.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 |
|---|---|---|
| 0.8b | (/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x)) | |
| 0.0b | (-.f64 (/.f64 -3 x) (/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x))) | |
| ✓ | 0.0b | (-.f64 (/.f64 -3 x) (/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x))) |
| ✓ | 0.8b | (/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (-.f64 (/.f64 -3 x) (/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x))) |
| 0.0ms | x | @ | 0 | (/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (-.f64 (/.f64 -3 x) (/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x))) |
| 0.0ms | x | @ | inf | (-.f64 (/.f64 -3 x) (/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x))) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 530× | log-prod_binary64 |
| 505× | fma-def_binary64 |
| 295× | pow2_binary64 |
| 283× | log-div_binary64 |
| 259× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 32 |
| 1 | 256 | 29 |
| 2 | 3887 | 29 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x)) |
(-.f64 (/.f64 -3 x) (/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x))) |
| Outputs |
|---|
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(*.f64 (+.f64 1 (/.f64 3 x)) (neg.f64 (pow.f64 x -2))) 1 (*.f64 (+.f64 1 (/.f64 3 x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 9 (*.f64 x x)) (/.f64 (pow.f64 (+.f64 1 (/.f64 3 x)) 2) (pow.f64 x 4))) (/.f64 1 (fma.f64 (+.f64 1 (/.f64 3 x)) (pow.f64 x -2) (/.f64 3 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) (+.f64 1 (/.f64 3 x)) (*.f64 (+.f64 1 (/.f64 3 x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 9 (*.f64 x x)) (/.f64 (pow.f64 (+.f64 1 (/.f64 3 x)) 2) (pow.f64 x 4))) (/.f64 1 (fma.f64 (+.f64 1 (/.f64 3 x)) (pow.f64 x -2) (/.f64 3 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (+.f64 1 (/.f64 3 x)) (pow.f64 x -2)))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (/.f64 3 x)) (pow.f64 x -2))) 2) (*.f64 (+.f64 1 (/.f64 3 x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 9 (*.f64 x x)) (/.f64 (pow.f64 (+.f64 1 (/.f64 3 x)) 2) (pow.f64 x 4))) (/.f64 1 (fma.f64 (+.f64 1 (/.f64 3 x)) (pow.f64 x -2) (/.f64 3 x))) (+.f64 (*.f64 (+.f64 1 (/.f64 3 x)) (neg.f64 (pow.f64 x -2))) (*.f64 (+.f64 1 (/.f64 3 x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (/.f64 3 x)) (neg.f64 (pow.f64 x -2)))) 2) (cbrt.f64 (*.f64 (+.f64 1 (/.f64 3 x)) (neg.f64 (pow.f64 x -2)))) (/.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (+.f64 1 (/.f64 3 x)) (neg.f64 (pow.f64 x -2)))) (sqrt.f64 (*.f64 (+.f64 1 (/.f64 3 x)) (neg.f64 (pow.f64 x -2)))) (/.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (/.f64 (hypot.f64 1 (sqrt.f64 (/.f64 3 x))) x)) (/.f64 (hypot.f64 1 (sqrt.f64 (/.f64 3 x))) x) (/.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 (+.f64 1 (/.f64 3 x)) (pow.f64 x -2)) (/.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 3 x)) (/.f64 (hypot.f64 1 (sqrt.f64 (/.f64 3 x))) x)) (-.f64 (sqrt.f64 (/.f64 3 x)) (/.f64 (hypot.f64 1 (sqrt.f64 (/.f64 3 x))) x)) (fma.f64 (*.f64 (+.f64 1 (/.f64 3 x)) (neg.f64 (pow.f64 x -2))) 1 (*.f64 (+.f64 1 (/.f64 3 x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 3 x)) (/.f64 (hypot.f64 1 (sqrt.f64 (/.f64 3 x))) x)) (-.f64 (sqrt.f64 (/.f64 3 x)) (/.f64 (hypot.f64 1 (sqrt.f64 (/.f64 3 x))) x)) (fma.f64 (neg.f64 (pow.f64 x -2)) (+.f64 1 (/.f64 3 x)) (*.f64 (+.f64 1 (/.f64 3 x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 3 x)) (/.f64 (hypot.f64 1 (sqrt.f64 (/.f64 3 x))) x)) (-.f64 (sqrt.f64 (/.f64 3 x)) (/.f64 (hypot.f64 1 (sqrt.f64 (/.f64 3 x))) x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (+.f64 1 (/.f64 3 x)) (pow.f64 x -2)))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (/.f64 3 x)) (pow.f64 x -2))) 2) (*.f64 (+.f64 1 (/.f64 3 x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 3 x)) (/.f64 (hypot.f64 1 (sqrt.f64 (/.f64 3 x))) x)) (-.f64 (sqrt.f64 (/.f64 3 x)) (/.f64 (hypot.f64 1 (sqrt.f64 (/.f64 3 x))) x)) (+.f64 (*.f64 (+.f64 1 (/.f64 3 x)) (neg.f64 (pow.f64 x -2))) (*.f64 (+.f64 1 (/.f64 3 x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (/.f64 3 x)) (pow.f64 x -2))) 2)) (cbrt.f64 (*.f64 (+.f64 1 (/.f64 3 x)) (pow.f64 x -2))) (/.f64 3 x)))))) |
| 1× | egg-herbie |
| 536× | unswap-sqr_binary64 |
| 527× | times-frac_binary64 |
| 464× | associate-/r*_binary64 |
| 414× | fma-def_binary64 |
| 382× | associate-*l/_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 372 |
| 1 | 65 | 354 |
| 2 | 160 | 354 |
| 3 | 431 | 354 |
| 4 | 1358 | 324 |
| 5 | 6166 | 306 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 3 (pow.f64 x 3)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))) |
(/.f64 1 (pow.f64 x 2)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))) |
(/.f64 1 (pow.f64 x 2)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))) |
(/.f64 -3 (pow.f64 x 3)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (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 3 (/.f64 1 (pow.f64 x 3))) (+.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))))) |
(/.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 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
| Outputs |
|---|
(/.f64 3 (pow.f64 x 3)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) |
(-.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(neg.f64 (/.f64 (-.f64 -1 (/.f64 3 x)) (*.f64 x x))) |
(/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) |
(-.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(neg.f64 (/.f64 (-.f64 -1 (/.f64 3 x)) (*.f64 x x))) |
(/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) |
(-.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(neg.f64 (/.f64 (-.f64 -1 (/.f64 3 x)) (*.f64 x x))) |
(/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) |
(-.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(neg.f64 (/.f64 (-.f64 -1 (/.f64 3 x)) (*.f64 x x))) |
(/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) |
(-.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(neg.f64 (/.f64 (-.f64 -1 (/.f64 3 x)) (*.f64 x x))) |
(/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) |
(-.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(neg.f64 (/.f64 (-.f64 -1 (/.f64 3 x)) (*.f64 x x))) |
(/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x)) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) |
(-.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(neg.f64 (/.f64 (-.f64 -1 (/.f64 3 x)) (*.f64 x x))) |
(/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) |
(-.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(neg.f64 (/.f64 (-.f64 -1 (/.f64 3 x)) (*.f64 x x))) |
(/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) |
(-.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(neg.f64 (/.f64 (-.f64 -1 (/.f64 3 x)) (*.f64 x x))) |
(/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x)) |
(/.f64 -3 (pow.f64 x 3)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))) |
(-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3))) |
(/.f64 (-.f64 -1 (/.f64 3 x)) (*.f64 x x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))) |
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))) |
(+.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 (pow.f64 x 3))) (/.f64 -3 x)) |
(+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 -3 x) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (/.f64 (-.f64 -1 (/.f64 3 x)) (*.f64 x x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))) |
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))) |
(+.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 (pow.f64 x 3))) (/.f64 -3 x)) |
(+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 -3 x) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (/.f64 (-.f64 -1 (/.f64 3 x)) (*.f64 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 -3 x) (/.f64 1 (*.f64 x 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 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))) |
(+.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 (pow.f64 x 3))) (/.f64 -3 x)) |
(+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 -3 x) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (/.f64 (-.f64 -1 (/.f64 3 x)) (*.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 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))) |
(+.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 (pow.f64 x 3))) (/.f64 -3 x)) |
(+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 -3 x) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (/.f64 (-.f64 -1 (/.f64 3 x)) (*.f64 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 -3 x) (/.f64 1 (*.f64 x 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 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))) |
(+.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 (pow.f64 x 3))) (/.f64 -3 x)) |
(+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 -3 x) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (/.f64 (-.f64 -1 (/.f64 3 x)) (*.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 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))) |
(+.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 (pow.f64 x 3))) (/.f64 -3 x)) |
(+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 -3 x) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (/.f64 (-.f64 -1 (/.f64 3 x)) (*.f64 x x)) (/.f64 -3 x)) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.8b | (/.f64 -1 (*.f64 x x)) | |
| 0.3b | (*.f64 3 (/.f64 1 x)) | |
| 0.0b | (+.f64 (*.f64 -1 (/.f64 -1 (*.f64 x x))) (*.f64 3 (/.f64 1 x))) | |
| ✓ | 0.0b | (+.f64 (*.f64 -1 (/.f64 -1 (*.f64 x x))) (*.f64 3 (/.f64 1 x))) |
| 0.3b | (*.f64 3 (/.f64 1 x)) | |
| 0.8b | (/.f64 -1 (*.f64 x x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 -1 (/.f64 -1 (*.f64 x x))) (*.f64 3 (/.f64 1 x))) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 -1 (/.f64 -1 (*.f64 x x))) (*.f64 3 (/.f64 1 x))) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 -1 (/.f64 -1 (*.f64 x x))) (*.f64 3 (/.f64 1 x))) |
| 1× | batch-egg-rewrite |
| 962× | pow1_binary64 |
| 896× | add-log-exp_binary64 |
| 894× | log1p-expm1-u_binary64 |
| 894× | expm1-log1p-u_binary64 |
| 112× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 13 |
| 1 | 236 | 10 |
| 2 | 3036 | 10 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 -1 (/.f64 -1 (*.f64 x x))) (*.f64 3 (/.f64 1 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 3 x) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (pow.f64 x -2) (/.f64 3 x))) (/.f64 (*.f64 (pow.f64 x -2) 9) (-.f64 (pow.f64 x -2) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (pow.f64 x -2) (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))) 2) (cbrt.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (/.f64 -1 x) (sqrt.f64 (/.f64 3 x))) (hypot.f64 (/.f64 -1 x) (sqrt.f64 (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (pow.f64 x -2) 3) (/.f64 27 (pow.f64 x 3))) (/.f64 1 (-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 (pow.f64 x -2) 9)) (/.f64 3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 (pow.f64 x -2) 9)) (/.f64 1 (-.f64 (pow.f64 x -2) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 (pow.f64 x -2) 9)) (/.f64 3 (pow.f64 x 3))) (+.f64 (pow.f64 (pow.f64 x -2) 3) (/.f64 27 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 x -2) (/.f64 3 x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 (pow.f64 x -2) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (pow.f64 x -2) 3) (/.f64 27 (pow.f64 x 3))) (-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 (pow.f64 x -2) 9)) (/.f64 3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (pow.f64 x -2) 3) (/.f64 27 (pow.f64 x 3))) (+.f64 (*.f64 (pow.f64 x -2) 9) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 (pow.f64 x -2) 9)) (-.f64 (pow.f64 x -2) (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (pow.f64 x -2) 3) (/.f64 27 (pow.f64 x 3)))) (neg.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 (pow.f64 x -2) 9)) (/.f64 3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 (pow.f64 x -2) 9))) (neg.f64 (-.f64 (pow.f64 x -2) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 (*.f64 x x) 3)) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 3 (*.f64 x x)) x) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x -2) 9) (/.f64 1 (pow.f64 x 4))) (+.f64 (pow.f64 x -2) (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (/.f64 -1 x) (sqrt.f64 (/.f64 3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (pow.f64 x -2) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (pow.f64 x -2) (/.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -2) -1 (/.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (/.f64 -1 x) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 x -2) (/.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 3 x) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 x) 3 (pow.f64 x -2))))) (#(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 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (cbrt.f64 (pow.f64 x -2)) (/.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) (cbrt.f64 (/.f64 3 x)) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 3 x)) (sqrt.f64 (/.f64 3 x)) (pow.f64 x -2)))))) |
| 1× | egg-herbie |
| 781× | associate-/r/_binary64 |
| 609× | sqr-pow_binary64 |
| 505× | associate-/l/_binary64 |
| 484× | cube-prod_binary64 |
| 434× | unswap-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 132 |
| 1 | 20 | 132 |
| 2 | 29 | 132 |
| 3 | 46 | 132 |
| 4 | 93 | 132 |
| 5 | 258 | 132 |
| 6 | 980 | 132 |
| 7 | 3028 | 132 |
| 8 | 3367 | 132 |
| 9 | 3738 | 132 |
| 10 | 4023 | 132 |
| 11 | 4406 | 132 |
| 12 | 4910 | 132 |
| 13 | 6384 | 132 |
| 14 | 7534 | 132 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (pow.f64 x 2)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(/.f64 3 x) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(/.f64 3 x) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(+.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 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) |
(/.f64 3 x) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) |
(/.f64 3 x) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 (/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (+.f64 x 1) x)) (+.f64 x -1)) x) | |
| 0.0b | (/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (+.f64 x 1) x)) (+.f64 x -1)) | |
| 0.0b | (/.f64 (+.f64 x 1) x) | |
| 0.0b | (/.f64 (+.f64 x -1) (+.f64 x 1)) | |
| 0.0b | (/.f64 (+.f64 x 1) x) | |
| ✓ | 0.0b | (/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (+.f64 x 1) x)) (+.f64 x -1)) |
| ✓ | 0.1b | (*.f64 (/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (+.f64 x 1) x)) (+.f64 x -1)) x) |
| 2.0b | (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (+.f64 x 1) x)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (+.f64 x 1) x)) (+.f64 x -1)) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (+.f64 x 1) x)) (+.f64 x -1)) x) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (+.f64 x 1) x)) (+.f64 x -1)) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (+.f64 x 1) x)) (+.f64 x -1)) x) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (+.f64 x 1) x)) (+.f64 x -1)) |
| 1× | batch-egg-rewrite |
| 732× | log-prod_binary64 |
| 499× | fma-def_binary64 |
| 368× | log-div_binary64 |
| 320× | fma-neg_binary64 |
| 232× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 53 |
| 1 | 262 | 53 |
| 2 | 4332 | 53 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (+.f64 x 1) x)) (+.f64 x -1)) x) |
(/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (+.f64 x 1) x)) (+.f64 x -1)) |
| Outputs |
|---|
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1))) (cbrt.f64 (+.f64 x -1))) (neg.f64 (/.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 x -1) (sqrt.f64 (+.f64 x -1))) (/.f64 (/.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1))) (neg.f64 (/.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) 2) (sqrt.f64 (+.f64 x -1))) (/.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) (sqrt.f64 (+.f64 x -1))) (neg.f64 (/.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) (sqrt.f64 (+.f64 x -1))) (/.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) (sqrt.f64 (+.f64 x -1))) (neg.f64 (/.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)) (neg.f64 (/.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 x x -1)) (+.f64 x 1) (neg.f64 (/.f64 (+.f64 x 1) (*.f64 x (+.f64 x -1))))))))) |
| 1× | egg-herbie |
| 769× | associate-/l*_binary64 |
| 593× | fma-def_binary64 |
| 342× | sub-neg_binary64 |
| 301× | fma-neg_binary64 |
| 294× | associate-/r/_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 401 |
| 1 | 154 | 373 |
| 2 | 474 | 370 |
| 3 | 1421 | 369 |
| 4 | 4454 | 366 |
| 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 3 (/.f64 1 x)) |
(+.f64 3 (+.f64 (/.f64 1 x) x)) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 3 (+.f64 (/.f64 1 x) x))) |
(/.f64 -3 (pow.f64 x 2)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))))) |
(/.f64 -3 (pow.f64 x 2)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 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 (+.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 1 (*.f64 x (fma.f64 3 (fma.f64 x x 1) x))) |
(*.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 -3 x) (/.f64 (/.f64 1 x) 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 (pow.f64 x 3)) (/.f64 -3 x))) |
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) 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 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 -3 (pow.f64 x 3)) (+.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) 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 -3 x) (/.f64 (/.f64 1 x) 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 (pow.f64 x 3)) (/.f64 -3 x))) |
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) 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 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 -3 (pow.f64 x 3)) (+.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (/.f64 -1 (pow.f64 x 4)))) |
(/.f64 1 x) |
(+.f64 3 (/.f64 1 x)) |
(+.f64 3 (+.f64 (/.f64 1 x) x)) |
(+.f64 3 (+.f64 x (/.f64 1 x))) |
(+.f64 (*.f64 3 (pow.f64 x 2)) (+.f64 3 (+.f64 (/.f64 1 x) x))) |
(fma.f64 3 (*.f64 x x) (+.f64 3 (+.f64 x (/.f64 1 x)))) |
(+.f64 (+.f64 x (/.f64 1 x)) (*.f64 (fma.f64 x x 1) 3)) |
(+.f64 x (fma.f64 (fma.f64 x x 1) 3 (/.f64 1 x))) |
(+.f64 x (fma.f64 3 (fma.f64 x x 1) (/.f64 1 x))) |
(/.f64 -3 (pow.f64 x 2)) |
(/.f64 -3 (*.f64 x x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 3 (*.f64 x x)))) |
(+.f64 (/.f64 -3 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))) |
(-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 3 (*.f64 x x))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 3 (*.f64 x x))) (/.f64 3 (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 -3 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))) (/.f64 -3 (pow.f64 x 4))) |
(+.f64 (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 3 (*.f64 x x))) (/.f64 -3 (pow.f64 x 4))) |
(-.f64 (/.f64 -1 (pow.f64 x 3)) (-.f64 (/.f64 3 (*.f64 x x)) (/.f64 -3 (pow.f64 x 4)))) |
(+.f64 (/.f64 -3 (*.f64 x x)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -3 (pow.f64 x 4)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 3 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 3 (*.f64 x x))))) |
(+.f64 (+.f64 (/.f64 -1 (pow.f64 x 5)) (/.f64 -3 (pow.f64 x 4))) (+.f64 (/.f64 -3 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3)))) |
(+.f64 (+.f64 (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 3 (*.f64 x x))) (/.f64 -3 (pow.f64 x 4))) (/.f64 -1 (pow.f64 x 5))) |
(+.f64 (-.f64 (/.f64 -1 (pow.f64 x 3)) (-.f64 (/.f64 3 (*.f64 x x)) (/.f64 -3 (pow.f64 x 4)))) (/.f64 -1 (pow.f64 x 5))) |
(+.f64 (+.f64 (/.f64 -3 (*.f64 x x)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -3 (pow.f64 x 4)))) (/.f64 -1 (pow.f64 x 5))) |
(/.f64 -3 (pow.f64 x 2)) |
(/.f64 -3 (*.f64 x x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 3 (*.f64 x x)))) |
(+.f64 (/.f64 -3 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))) |
(-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 3 (*.f64 x x))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 3 (*.f64 x x))) (/.f64 3 (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 -3 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))) (/.f64 -3 (pow.f64 x 4))) |
(+.f64 (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 3 (*.f64 x x))) (/.f64 -3 (pow.f64 x 4))) |
(-.f64 (/.f64 -1 (pow.f64 x 3)) (-.f64 (/.f64 3 (*.f64 x x)) (/.f64 -3 (pow.f64 x 4)))) |
(+.f64 (/.f64 -3 (*.f64 x x)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -3 (pow.f64 x 4)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 3 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 3 (*.f64 x x))))) |
(+.f64 (+.f64 (/.f64 -1 (pow.f64 x 5)) (/.f64 -3 (pow.f64 x 4))) (+.f64 (/.f64 -3 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3)))) |
(+.f64 (+.f64 (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 3 (*.f64 x x))) (/.f64 -3 (pow.f64 x 4))) (/.f64 -1 (pow.f64 x 5))) |
(+.f64 (-.f64 (/.f64 -1 (pow.f64 x 3)) (-.f64 (/.f64 3 (*.f64 x x)) (/.f64 -3 (pow.f64 x 4)))) (/.f64 -1 (pow.f64 x 5))) |
(+.f64 (+.f64 (/.f64 -3 (*.f64 x x)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -3 (pow.f64 x 4)))) (/.f64 -1 (pow.f64 x 5))) |
Compiled 24955 to 18671 computations (25.2% saved)
15 alts after pruning (6 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1043 | 6 | 1049 |
| Fresh | 2 | 0 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 4 | 8 | 12 |
| Total | 1049 | 15 | 1064 |
| Status | Error | Program |
|---|---|---|
| ✓ | 27.3b | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| ✓ | 27.7b | (fma.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 x)) (/.f64 x (+.f64 x 1))) |
| ✓ | 30.1b | (+.f64 (*.f64 3 x) 1) |
| ✓ | 27.3b | (-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1))) |
| 30.5b | (-.f64 x -1) | |
| ✓ | 27.3b | (/.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)))) |
| 30.2b | (*.f64 (+.f64 3 (+.f64 x (/.f64 1 x))) x) | |
| 46.7b | (*.f64 (/.f64 (+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -2 (pow.f64 x 3))) (+.f64 x -1)) x) | |
| 33.9b | (/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x) | |
| 29.8b | 1 | |
| ✓ | 34.2b | (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
| ✓ | 27.3b | (pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (+.f64 x 1) x)) (/.f64 (+.f64 x -1) x))) 3) |
| ✓ | 33.6b | (/.f64 -3 x) |
| 30.1b | (-.f64 x (-.f64 (*.f64 -2 x) 1)) | |
| ✓ | 27.4b | (*.f64 (/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (+.f64 x 1) x)) (+.f64 x -1)) x) |
Compiled 196 to 144 computations (26.5% saved)
| Inputs |
|---|
1 |
1 |
1 |
(-.f64 x -1) |
(/.f64 -3 x) |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) 1) |
(-.f64 x (-.f64 (*.f64 -2 x) 1)) |
(*.f64 (+.f64 3 (+.f64 x (/.f64 1 x))) x) |
(-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x) |
(-.f64 (/.f64 -3 x) (/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x))) |
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
(neg.f64 (+.f64 (*.f64 -1 (/.f64 -1 (*.f64 x x))) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 -1 (/.f64 1 (neg.f64 (*.f64 x x)))) (*.f64 3 (/.f64 1 x)))) |
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (/.f64 (+.f64 x -1) (+.f64 x 1)))) |
(+.f64 (/.f64 -3 x) (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 1 (/.f64 3 x)))) |
(-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1))) |
(*.f64 (/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (+.f64 x 1) x)) (+.f64 x -1)) x) |
(*.f64 (/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (+.f64 x 1) x)) (+.f64 x -1)) x) |
(/.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)))) |
(fma.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 x)) (/.f64 x (+.f64 x 1))) |
(fma.f64 (+.f64 x 1) (neg.f64 (/.f64 1 (+.f64 x -1))) (/.f64 x (+.f64 x 1))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))) |
(*.f64 (/.f64 (+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -2 (pow.f64 x 3))) (+.f64 x -1)) x) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (+.f64 x 1) x)) (/.f64 (+.f64 x -1) x))) 3) |
| Outputs |
|---|
(/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x) |
(fma.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 x)) (/.f64 x (+.f64 x 1))) |
(/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x) |
3 calls:
| 42.0ms | x |
| 8.0ms | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 7.0ms | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 3 | x |
| 0.3b | 2 | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 0.3b | 2 | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
Compiled 424 to 306 computations (27.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 90.93146838917038 | 451489.66242340964 |
| 21.0ms | -80162780.40680923 | -0.1513565936259408 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
1 |
1 |
1 |
(-.f64 x -1) |
(/.f64 -3 x) |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) 1) |
(-.f64 x (-.f64 (*.f64 -2 x) 1)) |
(*.f64 (+.f64 3 (+.f64 x (/.f64 1 x))) x) |
(-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x) |
(-.f64 (/.f64 -3 x) (/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x))) |
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
(neg.f64 (+.f64 (*.f64 -1 (/.f64 -1 (*.f64 x x))) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 -1 (/.f64 1 (neg.f64 (*.f64 x x)))) (*.f64 3 (/.f64 1 x)))) |
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (/.f64 (+.f64 x -1) (+.f64 x 1)))) |
(+.f64 (/.f64 -3 x) (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 1 (/.f64 3 x)))) |
(-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1))) |
(*.f64 (/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (+.f64 x 1) x)) (+.f64 x -1)) x) |
(*.f64 (/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (+.f64 x 1) x)) (+.f64 x -1)) x) |
(/.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)))) |
| Outputs |
|---|
(/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x) |
(/.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 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x) |
3 calls:
| 34.0ms | x |
| 7.0ms | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 6.0ms | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 3 | x |
| 0.3b | 2 | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 0.3b | 2 | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
Compiled 297 to 211 computations (29% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 90.93146838917038 | 451489.66242340964 |
| 20.0ms | -80162780.40680923 | -0.1513565936259408 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
1 |
1 |
1 |
(-.f64 x -1) |
(/.f64 -3 x) |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) 1) |
(-.f64 x (-.f64 (*.f64 -2 x) 1)) |
(*.f64 (+.f64 3 (+.f64 x (/.f64 1 x))) x) |
(-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x) |
(-.f64 (/.f64 -3 x) (/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x))) |
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
(neg.f64 (+.f64 (*.f64 -1 (/.f64 -1 (*.f64 x x))) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 -1 (/.f64 1 (neg.f64 (*.f64 x x)))) (*.f64 3 (/.f64 1 x)))) |
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (/.f64 (+.f64 x -1) (+.f64 x 1)))) |
(+.f64 (/.f64 -3 x) (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 1 (/.f64 3 x)))) |
(-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1))) |
(*.f64 (/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (+.f64 x 1) x)) (+.f64 x -1)) x) |
(*.f64 (/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (+.f64 x 1) x)) (+.f64 x -1)) x) |
| Outputs |
|---|
(/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x) |
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (/.f64 (+.f64 x -1) (+.f64 x 1)))) |
(/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x) |
3 calls:
| 33.0ms | x |
| 7.0ms | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 5.0ms | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 3 | x |
| 0.3b | 2 | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 0.3b | 2 | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
Compiled 233 to 164 computations (29.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 90.93146838917038 | 451489.66242340964 |
| 19.0ms | -80162780.40680923 | -0.1513565936259408 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
1 |
1 |
1 |
(-.f64 x -1) |
(/.f64 -3 x) |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) 1) |
(-.f64 x (-.f64 (*.f64 -2 x) 1)) |
(*.f64 (+.f64 3 (+.f64 x (/.f64 1 x))) x) |
(-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x) |
(-.f64 (/.f64 -3 x) (/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x))) |
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
(neg.f64 (+.f64 (*.f64 -1 (/.f64 -1 (*.f64 x x))) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 -1 (/.f64 1 (neg.f64 (*.f64 x x)))) (*.f64 3 (/.f64 1 x)))) |
| Outputs |
|---|
(/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x) |
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
(/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x) |
3 calls:
| 30.0ms | x |
| 5.0ms | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 5.0ms | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 3 | x |
| 0.3b | 2 | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 0.3b | 2 | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
Compiled 150 to 106 computations (29.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 90.93146838917038 | 451489.66242340964 |
| 20.0ms | -80162780.40680923 | -0.1513565936259408 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
1 |
1 |
1 |
(-.f64 x -1) |
(/.f64 -3 x) |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) 1) |
(-.f64 x (-.f64 (*.f64 -2 x) 1)) |
(*.f64 (+.f64 3 (+.f64 x (/.f64 1 x))) x) |
(-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x) |
(-.f64 (/.f64 -3 x) (/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x))) |
| Outputs |
|---|
(/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x) |
(-.f64 x (-.f64 (*.f64 -2 x) 1)) |
(-.f64 (/.f64 -3 x) (/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x))) |
1 calls:
| 23.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.9b | 3 | x |
Compiled 80 to 56 computations (30% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 0.17384801702489983 | 39.491920855889965 |
| 19.0ms | -80162780.40680923 | -0.1513565936259408 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
1 |
1 |
1 |
(-.f64 x -1) |
(/.f64 -3 x) |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) 1) |
(-.f64 x (-.f64 (*.f64 -2 x) 1)) |
(*.f64 (+.f64 3 (+.f64 x (/.f64 1 x))) x) |
(-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x) |
| Outputs |
|---|
(/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x) |
(-.f64 x (-.f64 (*.f64 -2 x) 1)) |
(/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x) |
1 calls:
| 21.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.9b | 3 | x |
Compiled 67 to 48 computations (28.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 0.17384801702489983 | 39.491920855889965 |
| 20.0ms | -80162780.40680923 | -0.1513565936259408 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
1 |
1 |
1 |
(-.f64 x -1) |
(/.f64 -3 x) |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) 1) |
(-.f64 x (-.f64 (*.f64 -2 x) 1)) |
(*.f64 (+.f64 3 (+.f64 x (/.f64 1 x))) x) |
(-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
| Outputs |
|---|
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 x (-.f64 (*.f64 -2 x) 1)) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
1 calls:
| 113.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.0b | 3 | x |
Compiled 56 to 40 computations (28.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 0.17384801702489983 | 39.491920855889965 |
| 27.0ms | -80162780.40680923 | -0.1513565936259408 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
1 |
1 |
1 |
(-.f64 x -1) |
(/.f64 -3 x) |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) 1) |
(-.f64 x (-.f64 (*.f64 -2 x) 1)) |
(*.f64 (+.f64 3 (+.f64 x (/.f64 1 x))) x) |
(-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| Outputs |
|---|
(/.f64 -3 x) |
(-.f64 x (-.f64 (*.f64 -2 x) 1)) |
(/.f64 -3 x) |
1 calls:
| 18.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.3b | 3 | x |
Compiled 47 to 34 computations (27.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 55.0ms | 0.17384801702489983 | 39.491920855889965 |
| 26.0ms | -80162780.40680923 | -0.1513565936259408 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
1 |
1 |
1 |
(-.f64 x -1) |
(/.f64 -3 x) |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) 1) |
| Outputs |
|---|
(/.f64 -3 x) |
(+.f64 (*.f64 3 x) 1) |
(/.f64 -3 x) |
1 calls:
| 19.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.3b | 3 | x |
Compiled 22 to 17 computations (22.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 0.17384801702489983 | 39.491920855889965 |
| 41.0ms | -80162780.40680923 | -0.1513565936259408 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
1 |
1 |
1 |
(-.f64 x -1) |
(/.f64 -3 x) |
| Outputs |
|---|
(/.f64 -3 x) |
(-.f64 x -1) |
(/.f64 -3 x) |
1 calls:
| 13.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.7b | 3 | x |
Compiled 12 to 9 computations (25% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 0.17384801702489983 | 39.491920855889965 |
| 20.0ms | -80162780.40680923 | -0.1513565936259408 |
Compiled 18 to 13 computations (27.8% saved)
Total -0.7b remaining (-2.3%)
Threshold costs -0.7b (-2.3%)
| Inputs |
|---|
1 |
1 |
1 |
(-.f64 x -1) |
| Outputs |
|---|
1 |
1 calls:
| 4.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 29.8b | 1 | x |
Compiled 9 to 7 computations (22.2% saved)
| 1× | egg-herbie |
| 27× | +-commutative_binary64 |
| 23× | sub-neg_binary64 |
| 17× | *-commutative_binary64 |
| 14× | neg-sub0_binary64 |
| 14× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 512 |
| 1 | 101 | 512 |
| 2 | 138 | 512 |
| 3 | 172 | 512 |
| 4 | 194 | 512 |
| 5 | 205 | 512 |
| 6 | 210 | 512 |
| 7 | 212 | 512 |
| 8 | 213 | 512 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x -344296520203675200/4294967296) (/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x) (if (<=.f64 x 6398733236776871/70368744177664) (fma.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 x)) (/.f64 x (+.f64 x 1))) (/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x))) |
(if (<=.f64 x -344296520203675200/4294967296) (/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x) (if (<=.f64 x 6398733236776871/70368744177664) (/.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 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x))) |
(if (<=.f64 x -344296520203675200/4294967296) (/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x) (if (<=.f64 x 6398733236776871/70368744177664) (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (/.f64 (+.f64 x -1) (+.f64 x 1)))) (/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x))) |
(if (<=.f64 x -344296520203675200/4294967296) (/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x) (if (<=.f64 x 6398733236776871/70368744177664) (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) (/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x))) |
(if (<=.f64 x -344296520203675200/4294967296) (/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x) (if (<=.f64 x 3206929877780228096/18446744073709551616) (-.f64 x (-.f64 (*.f64 -2 x) 1)) (-.f64 (/.f64 -3 x) (/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x))))) |
(if (<=.f64 x -344296520203675200/4294967296) (/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x) (if (<=.f64 x 3206929877780228096/18446744073709551616) (-.f64 x (-.f64 (*.f64 -2 x) 1)) (/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x))) |
(if (<=.f64 x -344296520203675200/4294967296) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (if (<=.f64 x 3206929877780228096/18446744073709551616) (-.f64 x (-.f64 (*.f64 -2 x) 1)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)))) |
(if (<=.f64 x -344296520203675200/4294967296) (/.f64 -3 x) (if (<=.f64 x 3206929877780228096/18446744073709551616) (-.f64 x (-.f64 (*.f64 -2 x) 1)) (/.f64 -3 x))) |
(if (<=.f64 x -344296520203675200/4294967296) (/.f64 -3 x) (if (<=.f64 x 3206929877780228096/18446744073709551616) (+.f64 (*.f64 3 x) 1) (/.f64 -3 x))) |
(if (<=.f64 x -344296520203675200/4294967296) (/.f64 -3 x) (if (<=.f64 x 3206929877780228096/18446744073709551616) (-.f64 x -1) (/.f64 -3 x))) |
1 |
| Outputs |
|---|
(if (<=.f64 x -344296520203675200/4294967296) (/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x) (if (<=.f64 x 6398733236776871/70368744177664) (fma.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 x)) (/.f64 x (+.f64 x 1))) (/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x))) |
(if (<=.f64 x -5379633128182425/67108864) (/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x) (if (<=.f64 x 6398733236776871/70368744177664) (fma.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 x)) (/.f64 x (+.f64 x 1))) (/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x))) |
(if (<=.f64 x -344296520203675200/4294967296) (/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x) (if (<=.f64 x 6398733236776871/70368744177664) (/.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 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x))) |
(if (<=.f64 x -5379633128182425/67108864) (/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x) (if (<=.f64 x 6398733236776871/70368744177664) (/.f64 (-.f64 (+.f64 x -1) (*.f64 (+.f64 x 1) (/.f64 (+.f64 x 1) x))) (*.f64 (+.f64 x -1) (/.f64 (+.f64 x 1) x))) (/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x))) |
(if (<=.f64 x -5379633128182425/67108864) (/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x) (if (<=.f64 x 6398733236776871/70368744177664) (/.f64 (+.f64 (+.f64 x -1) (*.f64 (+.f64 x 1) (/.f64 (-.f64 -1 x) x))) (*.f64 (+.f64 x -1) (/.f64 (+.f64 x 1) x))) (/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x))) |
(if (<=.f64 x -344296520203675200/4294967296) (/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x) (if (<=.f64 x 6398733236776871/70368744177664) (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (/.f64 (+.f64 x -1) (+.f64 x 1)))) (/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x))) |
(if (<=.f64 x -5379633128182425/67108864) (/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x) (if (<=.f64 x 6398733236776871/70368744177664) (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (/.f64 (+.f64 x -1) (+.f64 x 1)))) (/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x))) |
(if (<=.f64 x -344296520203675200/4294967296) (/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x) (if (<=.f64 x 6398733236776871/70368744177664) (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) (/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x))) |
(if (<=.f64 x -5379633128182425/67108864) (/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x) (if (<=.f64 x 6398733236776871/70368744177664) (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) (/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x))) |
(if (<=.f64 x -5379633128182425/67108864) (/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x) (if (<=.f64 x 6398733236776871/70368744177664) (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 -1 x) (+.f64 x -1))) (/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x))) |
(if (<=.f64 x -344296520203675200/4294967296) (/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x) (if (<=.f64 x 3206929877780228096/18446744073709551616) (-.f64 x (-.f64 (*.f64 -2 x) 1)) (-.f64 (/.f64 -3 x) (/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x))))) |
(if (<=.f64 x -5379633128182425/67108864) (/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x) (if (<=.f64 x 1565883729384877/9007199254740992) (-.f64 x (+.f64 (*.f64 x -2) -1)) (-.f64 (/.f64 -3 x) (/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x))))) |
(if (<=.f64 x -5379633128182425/67108864) (/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x) (if (<=.f64 x 1565883729384877/9007199254740992) (-.f64 x (+.f64 -1 (*.f64 x -2))) (-.f64 (/.f64 -3 x) (/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x))))) |
(if (<=.f64 x -5379633128182425/67108864) (/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x) (if (<=.f64 x 1565883729384877/9007199254740992) (-.f64 x (+.f64 -1 (*.f64 x -2))) (+.f64 (/.f64 -3 x) (/.f64 (-.f64 -1 (/.f64 3 x)) (*.f64 x x))))) |
(if (<=.f64 x -344296520203675200/4294967296) (/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x) (if (<=.f64 x 3206929877780228096/18446744073709551616) (-.f64 x (-.f64 (*.f64 -2 x) 1)) (/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x))) |
(if (<=.f64 x -5379633128182425/67108864) (/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x) (if (<=.f64 x 1565883729384877/9007199254740992) (-.f64 x (+.f64 (*.f64 x -2) -1)) (/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x))) |
(if (<=.f64 x -5379633128182425/67108864) (/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x) (if (<=.f64 x 1565883729384877/9007199254740992) (-.f64 x (+.f64 -1 (*.f64 x -2))) (/.f64 (-.f64 -3 (/.f64 (+.f64 1 (/.f64 3 x)) x)) x))) |
(if (<=.f64 x -344296520203675200/4294967296) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (if (<=.f64 x 3206929877780228096/18446744073709551616) (-.f64 x (-.f64 (*.f64 -2 x) 1)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)))) |
(if (<=.f64 x -5379633128182425/67108864) (+.f64 (/.f64 -3 x) (/.f64 -1 (*.f64 x x))) (if (<=.f64 x 1565883729384877/9007199254740992) (-.f64 x (+.f64 (*.f64 x -2) -1)) (+.f64 (/.f64 -3 x) (/.f64 -1 (*.f64 x x))))) |
(if (<=.f64 x -5379633128182425/67108864) (+.f64 (/.f64 -3 x) (/.f64 -1 (*.f64 x x))) (if (<=.f64 x 1565883729384877/9007199254740992) (-.f64 x (+.f64 -1 (*.f64 x -2))) (+.f64 (/.f64 -3 x) (/.f64 -1 (*.f64 x x))))) |
(if (<=.f64 x -344296520203675200/4294967296) (/.f64 -3 x) (if (<=.f64 x 3206929877780228096/18446744073709551616) (-.f64 x (-.f64 (*.f64 -2 x) 1)) (/.f64 -3 x))) |
(if (<=.f64 x -5379633128182425/67108864) (/.f64 -3 x) (if (<=.f64 x 1565883729384877/9007199254740992) (-.f64 x (+.f64 (*.f64 x -2) -1)) (/.f64 -3 x))) |
(if (<=.f64 x -5379633128182425/67108864) (/.f64 -3 x) (if (<=.f64 x 1565883729384877/9007199254740992) (-.f64 x (+.f64 -1 (*.f64 x -2))) (/.f64 -3 x))) |
(if (<=.f64 x -344296520203675200/4294967296) (/.f64 -3 x) (if (<=.f64 x 3206929877780228096/18446744073709551616) (+.f64 (*.f64 3 x) 1) (/.f64 -3 x))) |
(if (<=.f64 x -5379633128182425/67108864) (/.f64 -3 x) (if (<=.f64 x 1565883729384877/9007199254740992) (+.f64 1 (*.f64 x 3)) (/.f64 -3 x))) |
(if (<=.f64 x -344296520203675200/4294967296) (/.f64 -3 x) (if (<=.f64 x 3206929877780228096/18446744073709551616) (-.f64 x -1) (/.f64 -3 x))) |
(if (<=.f64 x -5379633128182425/67108864) (/.f64 -3 x) (if (<=.f64 x 1565883729384877/9007199254740992) (+.f64 x 1) (/.f64 -3 x))) |
1 |
| 1× | fuel |
Compiled 716 to 517 computations (27.8% saved)
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