Time bar (total: 9.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 4 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 5 |
| 87.5% | 87.5% | 12.5% | 0% | 0% | 0% | 0% | 6 |
| 93.8% | 93.7% | 6.2% | 0% | 0% | 0% | 0% | 7 |
| 96.9% | 96.8% | 3.1% | 0% | 0% | 0% | 0% | 8 |
| 98.4% | 98.4% | 1.6% | 0% | 0% | 0% | 0% | 9 |
| 99.2% | 99.2% | 0.8% | 0% | 0% | 0% | 0% | 10 |
| 99.6% | 99.6% | 0.4% | 0% | 0% | 0% | 0% | 11 |
| 99.8% | 99.8% | 0.2% | 0% | 0% | 0% | 0% | 12 |
Compiled 15 to 11 computations (26.7% saved)
| 666.0ms | 4934× | body | 256 | valid |
| 634.0ms | 2085× | body | 1024 | valid |
| 298.0ms | 1023× | body | 512 | valid |
| 96.0ms | 214× | body | 2048 | valid |
| 2× | egg-herbie |
| 859× | fma-neg_binary64 |
| 771× | fma-def_binary64 |
| 321× | div-sub_binary64 |
| 182× | associate-/l*_binary64 |
| 155× | cancel-sign-sub-inv_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 | 207 | 19 |
| 7 | 381 | 19 |
| 8 | 972 | 19 |
| 9 | 2302 | 19 |
| 10 | 2935 | 19 |
| 11 | 3252 | 19 |
| 12 | 4067 | 19 |
| 13 | 4363 | 19 |
| 14 | 4405 | 19 |
| 15 | 4407 | 19 |
| 16 | 4409 | 19 |
| 17 | 4419 | 19 |
| 18 | 4419 | 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))) |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
| 859× | fma-neg_binary64 |
| 771× | fma-def_binary64 |
| 321× | div-sub_binary64 |
| 182× | associate-/l*_binary64 |
| 155× | cancel-sign-sub-inv_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 | 207 | 19 |
| 7 | 381 | 19 |
| 8 | 972 | 19 |
| 9 | 2302 | 19 |
| 10 | 2935 | 19 |
| 11 | 3252 | 19 |
| 12 | 4067 | 19 |
| 13 | 4363 | 19 |
| 14 | 4405 | 19 |
| 15 | 4407 | 19 |
| 16 | 4409 | 19 |
| 17 | 4419 | 19 |
| 18 | 4419 | 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))) |
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 |
|---|---|---|
| ▶ | 29.0b | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
Compiled 14 to 10 computations (28.6% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 x (+.f64 x 1)) |
| ✓ | 0.0b | (/.f64 (+.f64 x 1) (-.f64 x 1)) |
| ✓ | 3.6b | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
Compiled 34 to 23 computations (32.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 1.0ms | x | @ | 0 | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 1.0ms | x | @ | -inf | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 0.0ms | x | @ | inf | (/.f64 x (+.f64 x 1)) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 x 1) (-.f64 x 1)) |
| 1× | batch-egg-rewrite |
| 509× | 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 | 3244 | 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 |
| 258× | distribute-rgt-neg-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 466 |
| 1 | 205 | 439 |
| 2 | 589 | 432 |
| 3 | 1732 | 429 |
| 4 | 4980 | 429 |
| 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 -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)) |
(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 -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 -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 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))) (-.f64 (/.f64 -1 (*.f64 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 -3 x) (/.f64 1 (*.f64 x 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 -3 x) (/.f64 1 (*.f64 x 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 -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 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))) (-.f64 (/.f64 -1 (*.f64 x x)) (/.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 (pow.f64 x 3) (fma.f64 x x x)) -1) |
(fma.f64 -2 (+.f64 x (*.f64 x (fma.f64 x x x))) -1) |
1 |
(+.f64 1 (*.f64 2 (/.f64 1 x))) |
(+.f64 1 (/.f64 2 x)) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x)))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))) |
(+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))) |
(+.f64 (/.f64 2 x) (+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))) 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 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))) 1)) |
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 (pow.f64 x 3) (-.f64 x (*.f64 x x))) |
(*.f64 x (-.f64 (fma.f64 x x 1) x)) |
(fma.f64 (*.f64 x x) (+.f64 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))) |
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 1 (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 1 (-.f64 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))) |
(-.f64 1 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (*.f64 x x)))) |
(-.f64 1 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 -1 (*.f64 x x)))) |
1 |
(-.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 -1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))) |
(+.f64 (/.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 1 (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 1 (-.f64 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))) |
(-.f64 1 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (*.f64 x x)))) |
(-.f64 1 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 -1 (*.f64 x x)))) |
Compiled 6319 to 4676 computations (26% saved)
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 254 | 11 | 265 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 254 | 12 | 266 |
| Status | Error | Program |
|---|---|---|
| 31.8b | (-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1))) | |
| ▶ | 32.1b | (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))) |
| ▶ | 31.7b | (/.f64 -3 x) |
| 29.6b | (fma.f64 (/.f64 1 (+.f64 x 1)) x (/.f64 (fma.f64 -1 x -1) (+.f64 x -1))) | |
| ▶ | 32.5b | (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
| 32.6b | (neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) | |
| ▶ | 29.0b | (/.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)))) |
| 29.8b | (fma.f64 (sqrt.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))) (sqrt.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1))) (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1)))) | |
| 31.8b | (+.f64 (*.f64 3 x) 1) | |
| 31.7b | 1 | |
| ✓ | 29.0b | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| ▶ | 29.1b | (-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1))) |
Compiled 352 to 264 computations (25% saved)
Found 4 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) (+.f64 x 1)) |
| ✓ | 3.6b | (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 (/.f64 (+.f64 x 1) x) 1)) |
Compiled 86 to 61 computations (29.1% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 (/.f64 (+.f64 x 1) x) 1)) |
| 1.0ms | x | @ | 0 | (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 (/.f64 (+.f64 x 1) x) 1)) |
| 1.0ms | x | @ | inf | (*.f64 (/.f64 (+.f64 x 1) x) (/.f64 (+.f64 x -1) (+.f64 x 1))) |
| 1.0ms | x | @ | -inf | (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 (/.f64 (+.f64 x 1) x) 1)) |
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 (+.f64 x 1) x) (/.f64 (+.f64 x -1) (+.f64 x 1))) |
| 1× | batch-egg-rewrite |
| 807× | 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 | 88 |
| 1 | 296 | 64 |
| 2 | 4889 | 64 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 (/.f64 (+.f64 x 1) x) 1)) |
(/.f64 (+.f64 x -1) (+.f64 x 1)) |
(*.f64 (/.f64 (+.f64 x 1) x) (/.f64 (+.f64 x -1) (+.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)))) |
| Outputs |
|---|
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(/.f64 (+.f64 x -1) x)) (neg.f64 (/.f64 (+.f64 x 1) (*.f64 (/.f64 (+.f64 x -1) x) x))))))) (#(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 x 1) (*.f64 (/.f64 (+.f64 x -1) x) x))))))) (#(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 x 1) (*.f64 (/.f64 (+.f64 x -1) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 x -1) (/.f64 (+.f64 x -1) (+.f64 x 1))) (/.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (+.f64 x 1) x)) (neg.f64 (/.f64 (+.f64 x 1) (*.f64 (/.f64 (+.f64 x -1) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) 2) (/.f64 (+.f64 x -1) (+.f64 x 1))) (/.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) (/.f64 (+.f64 x 1) x)) (neg.f64 (/.f64 (+.f64 x 1) (*.f64 (/.f64 (+.f64 x -1) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) (/.f64 (+.f64 x -1) (+.f64 x 1))) (/.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) (/.f64 (+.f64 x 1) x)) (neg.f64 (/.f64 (+.f64 x 1) (*.f64 (/.f64 (+.f64 x -1) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) (/.f64 (+.f64 x 1) x)) (/.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) (/.f64 (+.f64 x -1) (+.f64 x 1))) (neg.f64 (/.f64 (+.f64 x 1) (*.f64 (/.f64 (+.f64 x -1) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 x -1) (/.f64 (+.f64 x 1) x)) (/.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (+.f64 x -1) (+.f64 x 1))) (neg.f64 (/.f64 (+.f64 x 1) (*.f64 (/.f64 (+.f64 x -1) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) 2) (/.f64 (+.f64 x 1) x)) 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x))))))) (#(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 x 1) (*.f64 (/.f64 (+.f64 x -1) x) x))))))) (#(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 x 1) (*.f64 (/.f64 (+.f64 x -1) x) x))))))) (#(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 x 1) (*.f64 (/.f64 (+.f64 x -1) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 x x -1)) (fma.f64 x x x) (neg.f64 (/.f64 (+.f64 x 1) (*.f64 (/.f64 (+.f64 x -1) x) x))))))) (#(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 x 1) (*.f64 (/.f64 (+.f64 x -1) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (fma.f64 x x -1) x)) (+.f64 x 1) (neg.f64 (/.f64 (+.f64 x 1) (*.f64 (/.f64 (+.f64 x -1) x) x)))))))) |
| 1× | egg-herbie |
| 570× | associate-/l*_binary64 |
| 453× | sub-neg_binary64 |
| 357× | fma-neg_binary64 |
| 318× | distribute-neg-frac_binary64 |
| 272× | distribute-rgt-neg-in_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 581 |
| 1 | 208 | 555 |
| 2 | 593 | 553 |
| 3 | 1714 | 550 |
| 4 | 4723 | 547 |
| 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 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))))) |
(/.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)) |
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 -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 (*.f64 -2 (pow.f64 x 2)) (*.f64 2 x)) (+.f64 2 (/.f64 1 x))) |
(-.f64 (fma.f64 2 x (*.f64 -2 (*.f64 x x))) (+.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 2 (fma.f64 x (*.f64 x -2) -2))) |
(+.f64 -2 (fma.f64 x (-.f64 2 (*.f64 x 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 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))) (/.f64 3 x)) |
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -2 (pow.f64 x 3)))) |
(+.f64 (/.f64 -3 x) (*.f64 (-.f64 1 (/.f64 1 x)) (/.f64 2 (*.f64 x x)))) |
(-.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 (-.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))) (/.f64 3 x)) (/.f64 2 (pow.f64 x 4))) |
(+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -3 x)) (+.f64 (/.f64 -2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 4)))) |
(+.f64 (/.f64 -3 x) (+.f64 (/.f64 2 (pow.f64 x 4)) (-.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))) |
(+.f64 (+.f64 (/.f64 -3 x) (*.f64 (-.f64 1 (/.f64 1 x)) (/.f64 2 (*.f64 x x)))) (/.f64 2 (pow.f64 x 4))) |
(/.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 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))) (/.f64 3 x)) |
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -2 (pow.f64 x 3)))) |
(+.f64 (/.f64 -3 x) (*.f64 (-.f64 1 (/.f64 1 x)) (/.f64 2 (*.f64 x x)))) |
(-.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 (-.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))) (/.f64 3 x)) (/.f64 2 (pow.f64 x 4))) |
(+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -3 x)) (+.f64 (/.f64 -2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 4)))) |
(+.f64 (/.f64 -3 x) (+.f64 (/.f64 2 (pow.f64 x 4)) (-.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))) |
(+.f64 (+.f64 (/.f64 -3 x) (*.f64 (-.f64 1 (/.f64 1 x)) (/.f64 2 (*.f64 x x)))) (/.f64 2 (pow.f64 x 4))) |
-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 -2 (*.f64 x x))) -1) |
(fma.f64 x 2 (fma.f64 -2 (*.f64 x x) -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 -2 (*.f64 x x)))) -1) |
(fma.f64 2 (pow.f64 x 3) (fma.f64 x 2 (fma.f64 -2 (*.f64 x x) -1))) |
(+.f64 -1 (fma.f64 x 2 (*.f64 (*.f64 x x) (fma.f64 x 2 -2)))) |
(+.f64 -1 (*.f64 x (+.f64 2 (*.f64 x (fma.f64 x 2 -2))))) |
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 (+.f64 1 (/.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 (pow.f64 x 3)) (/.f64 2 x))) |
(+.f64 1 (-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 x)))) |
(+.f64 1 (-.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -2 x)) (/.f64 2 (pow.f64 x 3)))) |
(-.f64 (+.f64 (/.f64 2 (*.f64 x x)) (-.f64 1 (/.f64 2 x))) (/.f64 2 (pow.f64 x 3))) |
(+.f64 (/.f64 -2 x) (+.f64 1 (*.f64 (-.f64 1 (/.f64 1 x)) (/.f64 2 (*.f64 x x))))) |
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 (+.f64 1 (/.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 (pow.f64 x 3)) (/.f64 2 x))) |
(+.f64 1 (-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 x)))) |
(+.f64 1 (-.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -2 x)) (/.f64 2 (pow.f64 x 3)))) |
(-.f64 (+.f64 (/.f64 2 (*.f64 x x)) (-.f64 1 (/.f64 2 x))) (/.f64 2 (pow.f64 x 3))) |
(+.f64 (/.f64 -2 x) (+.f64 1 (*.f64 (-.f64 1 (/.f64 1 x)) (/.f64 2 (*.f64 x 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)) |
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)) |
(+.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)) |
(*.f64 (fma.f64 x 3 1) (fma.f64 x x 1)) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -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 (/.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 (/.f64 -3 x) (/.f64 -1 (*.f64 x x))) (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 -3 x) (/.f64 -1 (*.f64 x x))) (-.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 -3 x) (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.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 -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 (/.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 (/.f64 -3 x) (/.f64 -1 (*.f64 x x))) (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 -3 x) (/.f64 -1 (*.f64 x x))) (-.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 -3 x) (*.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 3 x) 1)))) |
Compiled 6 to 4 computations (33.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
| ✓ | 0.2b | (/.f64 -1 (*.f64 x x)) |
Compiled 24 to 13 computations (45.8% saved)
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 -1 (*.f64 x x)) |
| 0.0ms | x | @ | inf | (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
| 0.0ms | x | @ | -inf | (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
| 1× | batch-egg-rewrite |
| 959× | prod-diff_binary64 |
| 578× | unpow-prod-down_binary64 |
| 393× | 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 | 2695 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 (*.f64 x x)) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (neg.f64 (pow.f64 x -2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (neg.f64 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (neg.f64 (pow.f64 x -2))))) (log.f64 (sqrt.f64 (exp.f64 (neg.f64 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (neg.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 (neg.f64 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (cbrt.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2)))) 2) 3) (cbrt.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) 2) -1) (cbrt.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (neg.f64 (cbrt.f64 (pow.f64 x 4))) -1) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 -1 1/3) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3/2) 1/3) (pow.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 1 (pow.f64 x 4)) -1) 1/3) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 1 (pow.f64 x 4)) (cbrt.f64 (/.f64 1 (pow.f64 x 4)))) 1/3) (cbrt.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 (sqrt.f64 -1) x)) 1/3) (cbrt.f64 (/.f64 (sqrt.f64 -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) -1)) 2) -1) (cbrt.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 x 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -1) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 x x) -1) 1) -1)))) (#(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 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (neg.f64 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (neg.f64 (pow.f64 x -2))) 1)))))) |
((#(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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-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 (*.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 /.f64 (/.f64 (fma.f64 x (*.f64 x -3) (neg.f64 x)) (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x)) 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(+.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 expm1.f64 (log1p.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x))))))) (#(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 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 |
| 525× | 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 | 857 | 216 |
| 6 | 3719 | 216 |
| 7 | 7266 | 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 -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)) |
(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))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 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))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 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))) |
(*.f64 (/.f64 -1 x) (-.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 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 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))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 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))) |
(*.f64 (/.f64 -1 x) (-.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 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 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))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 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))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 x (+.f64 x 1)) | |
| ✓ | 0.0b | (/.f64 1 (+.f64 x -1)) |
| ✓ | 0.1b | (*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1)) |
| ✓ | 6.8b | (-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1))) |
Compiled 44 to 32 computations (27.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 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 | @ | 0 | (/.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 | 3675 | 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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(*.f64 (+.f64 x -1) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 1 (pow.f64 x 3))) (*.f64 (-.f64 1 x) (-.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (fma.f64 x x -1)) (*.f64 (-.f64 1 x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x -1)) 3) (pow.f64 (+.f64 x -1) -3)) (+.f64 (pow.f64 (/.f64 x (+.f64 x -1)) 2) (-.f64 (pow.f64 (+.f64 x -1) -2) (*.f64 (/.f64 x (+.f64 x -1)) (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x 1) 1) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x -1)) 2) (pow.f64 (+.f64 x -1) -2)) (-.f64 (/.f64 x (+.f64 x -1)) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 (+.f64 x 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(/.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 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(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 x -1)))))) (#(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 expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x -1))))))) (#(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)))))) |
| 1× | egg-herbie |
| 811× | times-frac_binary64 |
| 496× | fma-neg_binary64 |
| 366× | sub-neg_binary64 |
| 309× | fma-def_binary64 |
| 279× | distribute-rgt-out_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 503 |
| 1 | 197 | 472 |
| 2 | 577 | 465 |
| 3 | 1742 | 462 |
| 4 | 4921 | 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 3 x 1) (fma.f64 x x 1)) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))) |
(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 -3 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -1 (pow.f64 x 4)))) |
(+.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 -1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 -3 x) (/.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))) |
(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 -3 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -1 (pow.f64 x 4)))) |
(+.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 -1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 -3 x) (/.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 (fma.f64 (+.f64 1 x) x (pow.f64 x 3)) -1) |
(fma.f64 -2 (+.f64 x (*.f64 x (fma.f64 x x x))) -1) |
1 |
(+.f64 1 (*.f64 2 (/.f64 1 x))) |
(+.f64 1 (/.f64 2 x)) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x)))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))) |
(+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))) |
(+.f64 (+.f64 1 (/.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))))) |
(+.f64 (+.f64 1 (/.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) |
(fma.f64 (pow.f64 x 3) -1 (fma.f64 -1 (fma.f64 x x x) -1)) |
(-.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 (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 x) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.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 (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 x) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))) |
| 0.2b | (/.f64 -1 (*.f64 x x)) | |
| ✓ | 0.2b | (/.f64 -3 (pow.f64 x 3)) |
| ✓ | 5.4b | (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))) |
Compiled 48 to 32 computations (33.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 -3 (pow.f64 x 3)) |
| 1.0ms | x | @ | 0 | (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))) |
| 0.0ms | x | @ | 0 | (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))) |
| 0.0ms | x | @ | inf | (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))) |
| 0.0ms | x | @ | inf | (/.f64 -3 (pow.f64 x 3)) |
| 1× | batch-egg-rewrite |
| 683× | fma-def_binary64 |
| 613× | log-prod_binary64 |
| 368× | fma-neg_binary64 |
| 353× | log-div_binary64 |
| 239× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 42 |
| 1 | 288 | 36 |
| 2 | 4366 | 36 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))) |
(/.f64 -3 (pow.f64 x 3)) |
(+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 536× | unswap-sqr_binary64 |
| 527× | times-frac_binary64 |
| 483× | associate-/r*_binary64 |
| 408× | fma-def_binary64 |
| 396× | associate-*l/_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 357 |
| 1 | 81 | 321 |
| 2 | 191 | 321 |
| 3 | 451 | 321 |
| 4 | 1392 | 300 |
| 5 | 6292 | 300 |
| 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 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))))) |
(/.f64 -3 (pow.f64 x 3)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.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 -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 -3 (pow.f64 x 3)) (/.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 -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 -3 (pow.f64 x 3)) (/.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 -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 -3 x) (/.f64 -1 (*.f64 x 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 -3 (pow.f64 x 3)) (/.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 -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 -3 (pow.f64 x 3)) (/.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 -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 -3 x) (/.f64 -1 (*.f64 x 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 -3 (pow.f64 x 3)) (/.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 -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 -3 (pow.f64 x 3)) (/.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 -3 x)) (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 (-.f64 1 (/.f64 -3 x)) (*.f64 x x))) |
(/.f64 -3 (pow.f64 x 3)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))) |
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 3 x))) |
(+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))) |
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 3 x))) |
(+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))) |
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 3 x))) |
(+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 3 x))) |
(+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 3 x))) |
(+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 3 x))) |
(+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 3 x))) |
(+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 3 x))) |
(+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 3 x))) |
(+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))) |
Compiled 28158 to 20796 computations (26.1% saved)
13 alts after pruning (8 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1098 | 7 | 1105 |
| Fresh | 5 | 1 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 5 | 5 |
| Total | 1104 | 13 | 1117 |
| Status | Error | Program |
|---|---|---|
| ▶ | 32.6b | (*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
| ▶ | 31.8b | (-.f64 x (*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1))) |
| ▶ | 29.6b | (fma.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (+.f64 x -1)) x (neg.f64 (/.f64 (+.f64 x 1) (*.f64 (/.f64 (+.f64 x -1) x) x)))) |
| ▶ | 31.8b | (+.f64 (*.f64 3 x) 1) |
| ▶ | 31.8b | (-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| ✓ | 32.5b | (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
| ✓ | 31.7b | (/.f64 -3 x) |
| ✓ | 29.0b | (/.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)))) |
| 29.7b | (fma.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (fma.f64 x x -1) x)) (+.f64 x 1) (neg.f64 (/.f64 (+.f64 x 1) (*.f64 (/.f64 (+.f64 x -1) x) x)))) | |
| 31.7b | 1 | |
| ✓ | 29.0b | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| ✓ | 29.1b | (-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1))) |
| 32.1b | (-.f64 (/.f64 -3 x) (/.f64 (-.f64 1 (/.f64 -3 x)) (*.f64 x x))) |
Compiled 294 to 212 computations (27.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 (+.f64 x -1) (+.f64 x 1)) | |
| ✓ | 0.0b | (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (+.f64 x -1)) |
| ✓ | 0.1b | (*.f64 (/.f64 (+.f64 x -1) x) x) |
| ✓ | 29.7b | (fma.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (+.f64 x -1)) x (neg.f64 (/.f64 (+.f64 x 1) (*.f64 (/.f64 (+.f64 x -1) x) x)))) |
Compiled 88 to 59 computations (33% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (*.f64 (/.f64 (+.f64 x -1) x) x) |
| 1.0ms | x | @ | 0 | (fma.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (+.f64 x -1)) x (neg.f64 (/.f64 (+.f64 x 1) (*.f64 (/.f64 (+.f64 x -1) x) x)))) |
| 1.0ms | x | @ | -inf | (fma.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (+.f64 x -1)) x (neg.f64 (/.f64 (+.f64 x 1) (*.f64 (/.f64 (+.f64 x -1) x) x)))) |
| 1.0ms | x | @ | inf | (fma.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (+.f64 x -1)) x (neg.f64 (/.f64 (+.f64 x 1) (*.f64 (/.f64 (+.f64 x -1) x) x)))) |
| 1.0ms | x | @ | -inf | (*.f64 (/.f64 (+.f64 x -1) x) x) |
| 1× | batch-egg-rewrite |
| 706× | prod-diff_binary64 |
| 385× | log-div_binary64 |
| 310× | fma-def_binary64 |
| 276× | egg-rr |
| 234× | expm1-udef_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 63 |
| 1 | 296 | 42 |
| 2 | 4709 | 40 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (+.f64 x -1)) x (neg.f64 (/.f64 (+.f64 x 1) (*.f64 (/.f64 (+.f64 x -1) x) x)))) |
(*.f64 (/.f64 (+.f64 x -1) x) x) |
(/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (+.f64 x -1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (+.f64 x -1)) (/.f64 (+.f64 x 1) x)) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 x (+.f64 x -1)) (/.f64 (+.f64 x 1) x) (/.f64 x (+.f64 x 1))) (fma.f64 (*.f64 (/.f64 x (+.f64 x -1)) (/.f64 (+.f64 x 1) x)) -1 (*.f64 (/.f64 x (+.f64 x -1)) (/.f64 (+.f64 x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 x (+.f64 x -1)) (/.f64 (+.f64 x 1) x) (/.f64 x (+.f64 x 1))) (fma.f64 (*.f64 (/.f64 x (+.f64 x -1)) (/.f64 (+.f64 x 1) x)) 1 (*.f64 (/.f64 x (+.f64 x -1)) (/.f64 (+.f64 x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 x (+.f64 x -1)) (/.f64 (+.f64 x 1) x) (/.f64 x (+.f64 x 1))) (fma.f64 (neg.f64 (/.f64 (/.f64 x (+.f64 x -1)) x)) (+.f64 x 1) (*.f64 (/.f64 x (+.f64 x -1)) (/.f64 (+.f64 x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 x (+.f64 x -1)) (/.f64 (+.f64 x 1) x) (/.f64 x (+.f64 x 1))) (fma.f64 1 (*.f64 (/.f64 x (+.f64 x -1)) (/.f64 (+.f64 x 1) x)) (*.f64 (/.f64 x (+.f64 x -1)) (/.f64 (+.f64 x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 x (+.f64 x -1)) (/.f64 (+.f64 x 1) x) (/.f64 x (+.f64 x 1))) (fma.f64 -1 (*.f64 (/.f64 x (+.f64 x -1)) (/.f64 (+.f64 x 1) x)) (*.f64 (/.f64 x (+.f64 x -1)) (/.f64 (+.f64 x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 x (+.f64 x -1)) (/.f64 (+.f64 x 1) x) (/.f64 x (+.f64 x 1))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 x -1)) (/.f64 (+.f64 x 1) x))) 2)) (cbrt.f64 (*.f64 (/.f64 x (+.f64 x -1)) (/.f64 (+.f64 x 1) x))) (*.f64 (/.f64 x (+.f64 x -1)) (/.f64 (+.f64 x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 x (+.f64 x -1)) (/.f64 (+.f64 x 1) x) (/.f64 x (+.f64 x 1))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 x -1)) (/.f64 (+.f64 x 1) x)))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 x -1)) (/.f64 (+.f64 x 1) x))) 2) (*.f64 (/.f64 x (+.f64 x -1)) (/.f64 (+.f64 x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 x (+.f64 x -1)) (/.f64 (+.f64 x 1) x) (/.f64 x (+.f64 x 1))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 x (+.f64 x -1)) (/.f64 (+.f64 x 1) x)))) (sqrt.f64 (*.f64 (/.f64 x (+.f64 x -1)) (/.f64 (+.f64 x 1) x))) (*.f64 (/.f64 x (+.f64 x -1)) (/.f64 (+.f64 x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 x (+.f64 x -1)) (/.f64 (+.f64 x 1) x) (/.f64 x (+.f64 x 1))) (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 x (+.f64 x -1)) (/.f64 (+.f64 x 1) x))))) (sqrt.f64 (*.f64 (/.f64 x (+.f64 x -1)) (/.f64 (+.f64 x 1) x))) (*.f64 (/.f64 x (+.f64 x -1)) (/.f64 (+.f64 x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 x (+.f64 x -1)) (/.f64 (+.f64 x 1) x) (/.f64 x (+.f64 x 1))) (fma.f64 (neg.f64 (/.f64 (+.f64 x 1) (/.f64 (+.f64 x -1) x))) (/.f64 1 x) (*.f64 (/.f64 x (+.f64 x -1)) (/.f64 (+.f64 x 1) x))))))) (#(struct:change #<rule egg-rr> (2) 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x 1))) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) (/.f64 -1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 1 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) (*.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) (/.f64 -1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) (+.f64 x 1)) (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 (+.f64 x -1) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 (/.f64 (+.f64 x -1) (+.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 (+.f64 x -1) (+.f64 x 1)) (sqrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (+.f64 x -1)) (/.f64 (cbrt.f64 (+.f64 x -1)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) (+.f64 x -1)) (/.f64 (sqrt.f64 (+.f64 x -1)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) 1) (/.f64 (/.f64 1 (+.f64 x 1)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) 1) (/.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 (/.f64 1 (+.f64 x 1)) (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) 2) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) (sqrt.f64 (+.f64 x -1))) (/.f64 (/.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(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 *.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 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 1 (+.f64 x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (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 1 (+.f64 x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) 3) (pow.f64 (+.f64 x -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x 1))))))) (#(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 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) 1)))))) |
| 1× | egg-herbie |
| 644× | times-frac_binary64 |
| 560× | fma-def_binary64 |
| 380× | sub-neg_binary64 |
| 324× | associate-*l/_binary64 |
| 324× | associate-/l/_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 402 |
| 1 | 134 | 381 |
| 2 | 390 | 376 |
| 3 | 1207 | 373 |
| 4 | 3924 | 369 |
| 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 x 1) |
(-.f64 x 1) |
(-.f64 x 1) |
x |
(-.f64 x 1) |
(-.f64 x 1) |
(-.f64 x 1) |
x |
(-.f64 x 1) |
(-.f64 x 1) |
(-.f64 x 1) |
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
| 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 3 x 1) (fma.f64 x x 1)) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))) |
(+.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))) |
(+.f64 (/.f64 -3 x) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 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 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3))) (-.f64 (/.f64 -3 x) (/.f64 1 (pow.f64 x 4)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))) |
(+.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))) |
(+.f64 (/.f64 -3 x) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 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 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3))) (-.f64 (/.f64 -3 x) (/.f64 1 (pow.f64 x 4)))) |
-1 |
(-.f64 x 1) |
(+.f64 x -1) |
(-.f64 x 1) |
(+.f64 x -1) |
(-.f64 x 1) |
(+.f64 x -1) |
x |
(-.f64 x 1) |
(+.f64 x -1) |
(-.f64 x 1) |
(+.f64 x -1) |
(-.f64 x 1) |
(+.f64 x -1) |
x |
(-.f64 x 1) |
(+.f64 x -1) |
(-.f64 x 1) |
(+.f64 x -1) |
(-.f64 x 1) |
(+.f64 x -1) |
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (neg.f64 x)) |
(-.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) |
(+.f64 1 (fma.f64 -1 x (*.f64 x x))) |
(+.f64 1 (fma.f64 x x (neg.f64 x))) |
(-.f64 (fma.f64 x x 1) x) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))) |
(fma.f64 -1 (pow.f64 x 3) (+.f64 1 (fma.f64 -1 x (*.f64 x x)))) |
(-.f64 (+.f64 1 (fma.f64 x x (neg.f64 x))) (pow.f64 x 3)) |
(-.f64 (-.f64 (fma.f64 x x 1) x) (pow.f64 x 3)) |
(fma.f64 x (-.f64 x (fma.f64 x x 1)) 1) |
(*.f64 (fma.f64 x x 1) (-.f64 1 x)) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 (/.f64 -1 x) x)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x))) (/.f64 -1 (pow.f64 x 4))) |
(+.f64 (-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 (/.f64 -1 x) x)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x))) (/.f64 -1 (pow.f64 x 4))) |
(+.f64 (-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 3 x) 1) |
Compiled 12 to 9 computations (25% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 3 x) 1) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 3 x) 1) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 3 x) 1) |
| 1× | batch-egg-rewrite |
| 560× | pow1_binary64 |
| 522× | log1p-expm1-u_binary64 |
| 522× | expm1-log1p-u_binary64 |
| 521× | add-log-exp_binary64 |
| 512× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 5 |
| 1 | 124 | 5 |
| 2 | 1446 | 5 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 3 x) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 3 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 9) (fma.f64 3 x -1)) (/.f64 1 (fma.f64 3 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 3 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 3 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 3 x 1)) (pow.f64 (cbrt.f64 (fma.f64 3 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 3 x 1)) 2) (cbrt.f64 (fma.f64 3 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 3 x 1)) (sqrt.f64 (fma.f64 3 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (*.f64 3 x) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 9) (-.f64 1 (*.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (*.f64 x x) 9) -1) (/.f64 1 (fma.f64 3 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 9) (-.f64 1 (*.f64 3 x))) (+.f64 1 (pow.f64 (*.f64 3 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 3 x -1) (+.f64 (*.f64 (*.f64 x x) 9) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 3 x) 3)) (+.f64 (*.f64 (*.f64 x x) 9) (-.f64 1 (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 3 x) 3)) (+.f64 1 (-.f64 (*.f64 (*.f64 x x) 9) (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 x x) 9) -1) (fma.f64 3 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (*.f64 3 x) 3))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 9) (-.f64 1 (*.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x x) 9) -1)) (neg.f64 (fma.f64 3 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (*.f64 x x) 9)) (-.f64 1 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 3 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3 x 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 3 x 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 3 x 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 3 x 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 3 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 3 x 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 3 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 3 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 3 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 3 x)) 2) (cbrt.f64 (*.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 3 x)) (sqrt.f64 (*.f64 3 x)) 1))))) |
| 1× | egg-herbie |
| 1× | *-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 9 |
| 1 | 8 | 9 |
| 1× | saturated |
| Inputs |
|---|
1 |
(*.f64 3 x) |
(*.f64 3 x) |
| Outputs |
|---|
1 |
(*.f64 3 x) |
(*.f64 3 x) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
Compiled 21 to 16 computations (23.8% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
| 1× | batch-egg-rewrite |
| 812× | pow1_binary64 |
| 757× | add-log-exp_binary64 |
| 757× | log1p-expm1-u_binary64 |
| 757× | expm1-log1p-u_binary64 |
| 745× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 154 | 10 |
| 2 | 2015 | 10 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -3 x) (*.f64 (/.f64 1 x) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -3 x) (*.f64 (/.f64 -1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 x (+.f64 3 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 3 (/.f64 1 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 3 (/.f64 1 x)) (*.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (+.f64 -3 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 27 (pow.f64 (/.f64 -1 x) 3)) (*.f64 (neg.f64 x) (+.f64 9 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 27 (pow.f64 (/.f64 -1 x) 3)) (*.f64 (*.f64 x -1) (+.f64 9 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 9 (/.f64 1 (*.f64 x x))) (*.f64 (neg.f64 x) (+.f64 (/.f64 -1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 9 (/.f64 1 (*.f64 x x))) (*.f64 (*.f64 x -1) (+.f64 (/.f64 -1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -3 (/.f64 -1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -3 (/.f64 -1 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 27 (pow.f64 (/.f64 -1 x) 3))) (*.f64 x (+.f64 9 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 9 (/.f64 1 (*.f64 x x)))) (*.f64 x (+.f64 (/.f64 -1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 27 (pow.f64 (/.f64 -1 x) 3)) -1) (*.f64 (+.f64 9 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -3 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9 (/.f64 1 (*.f64 x x))) -1) (*.f64 (+.f64 (/.f64 -1 x) 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 27 (pow.f64 (/.f64 -1 x) 3)) 1) (*.f64 (+.f64 9 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -3 x))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 27 (pow.f64 (/.f64 -1 x) 3)) 1) (*.f64 (+.f64 9 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -3 x))) (*.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9 (/.f64 1 (*.f64 x x))) 1) (*.f64 (+.f64 (/.f64 -1 x) 3) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9 (/.f64 1 (*.f64 x x))) 1) (*.f64 (+.f64 (/.f64 -1 x) 3) (*.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 27 (pow.f64 (/.f64 -1 x) 3)) (/.f64 -1 x)) (+.f64 9 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9 (/.f64 1 (*.f64 x x))) (/.f64 -1 x)) (+.f64 (/.f64 -1 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1 x) (-.f64 27 (pow.f64 (/.f64 -1 x) 3))) (+.f64 9 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1 x) (-.f64 9 (/.f64 1 (*.f64 x x)))) (+.f64 (/.f64 -1 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 x) 3) (pow.f64 (+.f64 3 (/.f64 1 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 3 (/.f64 1 x)) 3) (pow.f64 (/.f64 -1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x))))))) |
| 1× | egg-herbie |
| 844× | div-sub_binary64 |
| 525× | distribute-neg-frac_binary64 |
| 434× | unswap-sqr_binary64 |
| 376× | times-frac_binary64 |
| 356× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 150 |
| 1 | 30 | 132 |
| 2 | 61 | 132 |
| 3 | 118 | 132 |
| 4 | 282 | 132 |
| 5 | 857 | 132 |
| 6 | 3719 | 132 |
| 7 | 7266 | 132 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 (pow.f64 x 2)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
| Outputs |
|---|
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(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))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 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))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 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))) |
(*.f64 (/.f64 -1 x) (-.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 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 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))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 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))) |
(*.f64 (/.f64 -1 x) (-.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 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 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))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 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))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 0.0b | (/.f64 (+.f64 x 1) (-.f64 x 1)) |
Compiled 25 to 17 computations (32% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 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 | 2507 | 13 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))) (fma.f64 (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1)) 1 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1))) (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 2) (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))) 2) (cbrt.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))) (sqrt.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (+.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2)) (/.f64 1 (+.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (+.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))))) (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3)) (fma.f64 x x (*.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (+.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2)) (+.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (+.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2))) (neg.f64 (+.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1)) (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1))) (*.f64 x (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1)) (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1)))) (-.f64 x (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1))))))) |
| 1× | egg-herbie |
| 823× | fma-neg_binary64 |
| 788× | fma-def_binary64 |
| 549× | cancel-sign-sub-inv_binary64 |
| 536× | unswap-sqr_binary64 |
| 521× | associate-*l*_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 105 |
| 1 | 78 | 105 |
| 2 | 192 | 104 |
| 3 | 562 | 99 |
| 4 | 1586 | 96 |
| 5 | 5061 | 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 3 x (fma.f64 x (*.f64 x 2) 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 3 x (fma.f64 2 (*.f64 x (fma.f64 x x 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 -1 (-.f64 x (/.f64 2 x))) |
(+.f64 (+.f64 x -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 (+.f64 -1 (/.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 (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 -1 (-.f64 x (/.f64 2 x))) |
(+.f64 (+.f64 x -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 (+.f64 -1 (/.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 (fma.f64 (/.f64 1 x) (+.f64 2 (/.f64 2 x)) 1)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1))) |
| 0.0b | (/.f64 1 (+.f64 x -1)) | |
| 0.1b | (*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1)) |
Compiled 35 to 26 computations (25.7% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (-.f64 x (*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1))) |
| 0.0ms | x | @ | inf | (-.f64 x (*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1))) |
| 0.0ms | x | @ | -inf | (-.f64 x (*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1))) |
| 1× | batch-egg-rewrite |
| 476× | log-prod_binary64 |
| 381× | fma-def_binary64 |
| 347× | pow-prod-down_binary64 |
| 256× | pow2_binary64 |
| 227× | fma-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 13 |
| 1 | 210 | 13 |
| 2 | 3116 | 13 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 x (*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 (neg.f64 (+.f64 x 1)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 (neg.f64 (+.f64 x 1)) (+.f64 x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))) (fma.f64 (/.f64 (neg.f64 (+.f64 x 1)) (+.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 (/.f64 1 (-.f64 1 x)) (+.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 0 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (+.f64 x 1)) (+.f64 x -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))))))))) (#(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 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egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (-.f64 1 x)) 1) (+.f64 x 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 x 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)) x))))) |
| 1× | egg-herbie |
| 823× | fma-neg_binary64 |
| 788× | fma-def_binary64 |
| 549× | cancel-sign-sub-inv_binary64 |
| 536× | unswap-sqr_binary64 |
| 521× | associate-*l*_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 105 |
| 1 | 78 | 105 |
| 2 | 192 | 104 |
| 3 | 562 | 99 |
| 4 | 1586 | 96 |
| 5 | 5061 | 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 3 x (fma.f64 x (*.f64 x 2) 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 3 x (fma.f64 2 (*.f64 x (fma.f64 x x 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 -1 (-.f64 x (/.f64 2 x))) |
(+.f64 (+.f64 x -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 (+.f64 -1 (/.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 (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 -1 (-.f64 x (/.f64 2 x))) |
(+.f64 (+.f64 x -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 (+.f64 -1 (/.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 (fma.f64 (/.f64 1 x) (+.f64 2 (/.f64 2 x)) 1)) |
Compiled 30640 to 22077 computations (27.9% saved)
16 alts after pruning (9 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 851 | 7 | 858 |
| Fresh | 1 | 2 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 7 | 9 |
| Total | 855 | 16 | 871 |
| Status | Error | Program |
|---|---|---|
| ▶ | 29.6b | (fma.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (+.f64 x -1)) x (neg.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)))) |
| 31.8b | (-.f64 x (-.f64 (*.f64 -2 x) 1)) | |
| 31.7b | (-.f64 x (*.f64 (-.f64 -1 x) (+.f64 x 1))) | |
| ✓ | 29.0b | (/.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)))) |
| ✓ | 29.1b | (-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1))) |
| 31.7b | 1 | |
| 32.1b | (-.f64 (/.f64 -3 x) (/.f64 (-.f64 1 (/.f64 -3 x)) (*.f64 x x))) | |
| ▶ | 32.5b | (-.f64 x -1) |
| ▶ | 32.5b | (/.f64 (+.f64 -3 (/.f64 -1 x)) x) |
| ✓ | 32.5b | (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
| ✓ | 32.6b | (*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
| ✓ | 31.7b | (/.f64 -3 x) |
| ▶ | 29.7b | (fma.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (fma.f64 x x -1) x)) (+.f64 x 1) (neg.f64 (/.f64 (+.f64 x 1) (*.f64 (/.f64 (+.f64 x -1) x) x)))) |
| ✓ | 31.8b | (+.f64 (*.f64 3 x) 1) |
| ▶ | 61.3b | (-.f64 (+.f64 1 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) 1) |
| ✓ | 29.0b | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
Compiled 310 to 227 computations (26.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 (+.f64 x 1) (-.f64 x 1)) | |
| 0.0b | (/.f64 (+.f64 x -1) (+.f64 x 1)) | |
| 0.0b | (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (+.f64 x -1)) | |
| ✓ | 29.7b | (fma.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (+.f64 x -1)) x (neg.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)))) |
Compiled 67 to 48 computations (28.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (fma.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (+.f64 x -1)) x (neg.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)))) |
| 0.0ms | x | @ | inf | (fma.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (+.f64 x -1)) x (neg.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)))) |
| 0.0ms | x | @ | -inf | (fma.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (+.f64 x -1)) x (neg.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)))) |
| 1× | batch-egg-rewrite |
| 558× | log-prod_binary64 |
| 389× | pow-prod-down_binary64 |
| 294× | fma-def_binary64 |
| 285× | log-div_binary64 |
| 269× | pow-unpow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 31 |
| 1 | 278 | 19 |
| 2 | 3785 | 19 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (+.f64 x -1)) x (neg.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (+.f64 x 1)) 1) (/.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 (+.f64 x 1) (+.f64 x -1)) (/.f64 x (+.f64 x 1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (/.f64 x (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (/.f64 x (+.f64 x 1)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (/.f64 x (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (/.f64 x (+.f64 x 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 x (+.f64 x 1)) 0) (/.f64 (+.f64 x 1) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (/.f64 x (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (/.f64 x (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (/.f64 x (+.f64 x 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (/.f64 x (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (/.f64 x (+.f64 x 1)))) (sqrt.f64 (+.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) -3)) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) -2) (*.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) -2)) (+.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (/.f64 x (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (/.f64 x (+.f64 x 1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (/.f64 x (+.f64 x 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (/.f64 x (+.f64 x 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (/.f64 x (+.f64 x 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (/.f64 x (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (/.f64 x (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (/.f64 x (+.f64 x 1))) (exp.f64 (/.f64 (+.f64 x 1) (+.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 (+.f64 x 1) (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (+.f64 x 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 (+.f64 x 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 (+.f64 x 1) (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (/.f64 x (+.f64 x 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (/.f64 x (+.f64 x 1)))) 1)))))) |
| 1× | egg-herbie |
| 884× | fma-neg_binary64 |
| 651× | associate-*l*_binary64 |
| 644× | times-frac_binary64 |
| 416× | cancel-sign-sub-inv_binary64 |
| 335× | fma-def_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 187 |
| 1 | 98 | 171 |
| 2 | 284 | 170 |
| 3 | 848 | 169 |
| 4 | 2564 | 158 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 3 x) 1) |
(fma.f64 3 x 1) |
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (fma.f64 3 x 1) (*.f64 x x)) |
(fma.f64 3 x (fma.f64 x x 1)) |
(fma.f64 x (+.f64 3 x) 1) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2)))) |
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (+.f64 1 (*.f64 x x)))) |
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1))) |
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1)) |
(fma.f64 3 (pow.f64 x 3) (fma.f64 x (+.f64 3 x) 1)) |
(*.f64 (fma.f64 3 x 1) (fma.f64 x x 1)) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 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))) |
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))))) |
(-.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))) |
(-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (-.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4)))) |
(-.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 3 x) (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 -3 (pow.f64 x 3))))) |
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (+.f64 (/.f64 -3 x) (/.f64 -1 (pow.f64 x 4)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 3 x))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))) |
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))))) |
(-.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 3 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))) |
(-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (-.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4)))) |
(-.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 3 x) (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 -3 (pow.f64 x 3))))) |
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (+.f64 (/.f64 -3 x) (/.f64 -1 (pow.f64 x 4)))) |
Compiled 6 to 4 computations (33.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (+.f64 -3 (/.f64 -1 x)) x) |
Compiled 19 to 14 computations (26.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 (+.f64 -3 (/.f64 -1 x)) x) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 -3 (/.f64 -1 x)) x) |
| 0.0ms | x | @ | 0 | (/.f64 (+.f64 -3 (/.f64 -1 x)) x) |
| 1× | batch-egg-rewrite |
| 842× | pow1_binary64 |
| 786× | add-log-exp_binary64 |
| 786× | log1p-expm1-u_binary64 |
| 786× | expm1-log1p-u_binary64 |
| 773× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 156 | 10 |
| 2 | 2064 | 10 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 -3 (/.f64 -1 x)) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -3 (/.f64 -1 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 -3 (/.f64 -1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -3 (/.f64 -1 x))) 2) (*.f64 (cbrt.f64 (+.f64 -3 (/.f64 -1 x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) 2) (cbrt.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -3 (/.f64 -1 x))) (*.f64 (sqrt.f64 (+.f64 -3 (/.f64 -1 x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) (sqrt.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 3 (neg.f64 (/.f64 -1 x))) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (+.f64 -3 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -3 (/.f64 -1 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 -3 (/.f64 -1 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 -3 (/.f64 -1 x))) 1) (/.f64 (sqrt.f64 (+.f64 -3 (/.f64 -1 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 -3 (/.f64 -1 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -3 (/.f64 -1 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 -3 (/.f64 -1 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 -3 (/.f64 -1 x))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 -3 (/.f64 -1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -3 (/.f64 -1 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 -3 (/.f64 -1 x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 -3 (/.f64 -1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 -3 (/.f64 -1 x)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x))))))) |
| 1× | egg-herbie |
| 844× | div-sub_binary64 |
| 525× | distribute-neg-frac_binary64 |
| 434× | unswap-sqr_binary64 |
| 376× | times-frac_binary64 |
| 356× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 150 |
| 1 | 30 | 132 |
| 2 | 61 | 132 |
| 3 | 118 | 132 |
| 4 | 282 | 132 |
| 5 | 857 | 132 |
| 6 | 3719 | 132 |
| 7 | 7266 | 132 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 (pow.f64 x 2)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
| Outputs |
|---|
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(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))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 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))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 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))) |
(*.f64 (/.f64 -1 x) (-.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 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 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))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 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))) |
(*.f64 (/.f64 -1 x) (-.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 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 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))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 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))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (/.f64 (+.f64 -3 (/.f64 -1 x)) x) | |
| ✓ | 3.6b | (-.f64 (+.f64 1 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) 1) |
Compiled 40 to 31 computations (22.5% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (-.f64 (+.f64 1 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) 1) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 1 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) 1) |
| 0.0ms | x | @ | inf | (-.f64 (+.f64 1 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) 1) |
| 1× | batch-egg-rewrite |
| 535× | prod-diff_binary64 |
| 443× | log-prod_binary64 |
| 440× | fma-def_binary64 |
| 267× | pow2_binary64 |
| 214× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 16 |
| 1 | 230 | 10 |
| 2 | 3251 | 10 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 -3 (/.f64 -1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 -3 (/.f64 -1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -3 (/.f64 -1 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) 2) (cbrt.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -3 (/.f64 -1 x))) 2) (*.f64 (cbrt.f64 (+.f64 -3 (/.f64 -1 x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) (sqrt.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -3 (/.f64 -1 x))) (*.f64 (sqrt.f64 (+.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)))) (+.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) 2) (+.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)))) (+.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 (pow.f64 x -3) -27) (*.f64 x (+.f64 9 (-.f64 (pow.f64 x -2) (/.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)))) (+.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 9 (pow.f64 x -2)) (*.f64 x (-.f64 -3 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 3 (neg.f64 (/.f64 -1 x)))) (neg.f64 (neg.f64 x)))))) 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (+.f64 -3 (/.f64 -1 x)) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 -3 (/.f64 -1 x)) (/.f64 1 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) 2) (cbrt.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -3 (/.f64 -1 x)) x))) (cbrt.f64 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(+.f64 -3 (/.f64 -1 x)) x) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x) 2)) (/.f64 1 (-.f64 1 (/.f64 (+.f64 -3 (/.f64 -1 x)) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x) -1)) 2) (cbrt.f64 (+.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x) -1)) (sqrt.f64 (+.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -3 (/.f64 -1 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 -3 (/.f64 -1 x))) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (+.f64 -3 (/.f64 -1 x))) 1) (/.f64 (sqrt.f64 (+.f64 -3 (/.f64 -1 x))) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (+.f64 -3 (/.f64 -1 x)) (cbrt.f64 x)) 0)))) (#(struct:change #<rule 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| 1× | egg-herbie |
| 844× | div-sub_binary64 |
| 525× | distribute-neg-frac_binary64 |
| 434× | unswap-sqr_binary64 |
| 376× | times-frac_binary64 |
| 356× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 150 |
| 1 | 30 | 132 |
| 2 | 61 | 132 |
| 3 | 118 | 132 |
| 4 | 282 | 132 |
| 5 | 857 | 132 |
| 6 | 3719 | 132 |
| 7 | 7266 | 132 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 (pow.f64 x 2)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
| Outputs |
|---|
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(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))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 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))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 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))) |
(*.f64 (/.f64 -1 x) (-.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 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 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))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 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))) |
(*.f64 (/.f64 -1 x) (-.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 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 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))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 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))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 (/.f64 (+.f64 x -1) x) x) | |
| ✓ | 0.1b | (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (fma.f64 x x -1) x)) |
| ✓ | 16.0b | (/.f64 (fma.f64 x x -1) x) |
| ✓ | 29.7b | (fma.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (fma.f64 x x -1) x)) (+.f64 x 1) (neg.f64 (/.f64 (+.f64 x 1) (*.f64 (/.f64 (+.f64 x -1) x) x)))) |
Compiled 106 to 68 computations (35.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 (fma.f64 x x -1) x) |
| 1.0ms | x | @ | 0 | (fma.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (fma.f64 x x -1) x)) (+.f64 x 1) (neg.f64 (/.f64 (+.f64 x 1) (*.f64 (/.f64 (+.f64 x -1) x) x)))) |
| 0.0ms | x | @ | inf | (fma.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (fma.f64 x x -1) x)) (+.f64 x 1) (neg.f64 (/.f64 (+.f64 x 1) (*.f64 (/.f64 (+.f64 x -1) x) x)))) |
| 0.0ms | x | @ | -inf | (fma.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (fma.f64 x x -1) x)) (+.f64 x 1) (neg.f64 (/.f64 (+.f64 x 1) (*.f64 (/.f64 (+.f64 x -1) x) x)))) |
| 0.0ms | x | @ | inf | (/.f64 (fma.f64 x x -1) x) |
| 1× | batch-egg-rewrite |
| 787× | prod-diff_binary64 |
| 292× | egg-rr |
| 280× | expm1-udef_binary64 |
| 280× | log1p-udef_binary64 |
| 211× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 72 |
| 1 | 343 | 65 |
| 2 | 5486 | 63 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (fma.f64 x x -1) x)) (+.f64 x 1) (neg.f64 (/.f64 (+.f64 x 1) (*.f64 (/.f64 (+.f64 x -1) x) x)))) |
(/.f64 (fma.f64 x x -1) x) |
(/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (fma.f64 x x -1) x)) |
| Outputs |
|---|
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(cbrt.f64 (/.f64 (fma.f64 x x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) 2) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x -1) x)) 2)) (cbrt.f64 (*.f64 x (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x -1) x)) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) (cbrt.f64 (/.f64 (fma.f64 x x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) (sqrt.f64 (/.f64 (fma.f64 x x -1) x))) (/.f64 (/.f64 1 (+.f64 x 1)) (sqrt.f64 (/.f64 (fma.f64 x x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 (fma.f64 x x -1) x))) (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (sqrt.f64 (/.f64 (fma.f64 x x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) 2) (sqrt.f64 (/.f64 (fma.f64 x x -1) x))) (/.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) (sqrt.f64 (/.f64 (fma.f64 x x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) 1) (/.f64 x (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (neg.f64 (fma.f64 x x -1))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 x x -1)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 x x -1)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 x x -1)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 x x -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 x x -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 x x -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x 1) (/.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (neg.f64 (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 x x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 x -1) (+.f64 x 1))) (/.f64 x (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 x x -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) 3) (pow.f64 (/.f64 (fma.f64 x x -1) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (fma.f64 x x -1)))) 1)))))) |
| 1× | egg-herbie |
| 677× | fma-def_binary64 |
| 605× | associate-*l/_binary64 |
| 448× | associate-/l/_binary64 |
| 379× | associate-/l*_binary64 |
| 284× | distribute-neg-frac_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 442 |
| 1 | 159 | 426 |
| 2 | 445 | 425 |
| 3 | 1331 | 418 |
| 4 | 4138 | 415 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(/.f64 -1 x) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
x |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
x |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
x |
(+.f64 (*.f64 -2 (pow.f64 x 2)) x) |
(+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 (*.f64 -2 (pow.f64 x 2)) x)) |
(+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -4 (pow.f64 x 4)) x))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (*.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 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 3 x 1) (fma.f64 x x 1)) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x 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 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 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))) |
(+.f64 (/.f64 -3 x) (*.f64 (/.f64 (/.f64 1 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 3 x) (+.f64 (/.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 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (*.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 -1 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 -3 x) (/.f64 1 (*.f64 x 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 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 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))) |
(+.f64 (/.f64 -3 x) (*.f64 (/.f64 (/.f64 1 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 3 x) (+.f64 (/.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 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (*.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 -1 x) 3))) |
(/.f64 -1 x) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
x |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
x |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
x |
(+.f64 (*.f64 -2 (pow.f64 x 2)) x) |
(fma.f64 -2 (*.f64 x x) x) |
(fma.f64 (*.f64 x x) -2 x) |
(fma.f64 x (*.f64 x -2) x) |
(*.f64 x (fma.f64 x -2 1)) |
(+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 (*.f64 -2 (pow.f64 x 2)) x)) |
(fma.f64 3 (pow.f64 x 3) (fma.f64 -2 (*.f64 x x) x)) |
(fma.f64 3 (pow.f64 x 3) (fma.f64 (*.f64 x x) -2 x)) |
(fma.f64 (*.f64 x x) -2 (fma.f64 3 (pow.f64 x 3) x)) |
(fma.f64 (*.f64 x x) (fma.f64 3 x -2) x) |
(+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -4 (pow.f64 x 4)) x))) |
(fma.f64 3 (pow.f64 x 3) (fma.f64 -2 (*.f64 x x) (fma.f64 -4 (pow.f64 x 4) x))) |
(fma.f64 3 (pow.f64 x 3) (fma.f64 (*.f64 x x) -2 (fma.f64 (pow.f64 x 4) -4 x))) |
(fma.f64 3 (pow.f64 x 3) (fma.f64 x (*.f64 x -2) (fma.f64 (pow.f64 x 4) -4 x))) |
(fma.f64 x (*.f64 x (fma.f64 3 x -2)) (fma.f64 (pow.f64 x 4) -4 x)) |
(fma.f64 (*.f64 x x) (fma.f64 3 x -2) (fma.f64 (pow.f64 x 4) -4 x)) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -2 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 (/.f64 -2 x) x)) |
(-.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x)))) |
(+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 (/.f64 -2 x) x))) |
(-.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (/.f64 3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 4 (pow.f64 x 4))))) |
(+.f64 (/.f64 3 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 1 x) (/.f64 -2 (*.f64 x x))) (/.f64 4 (pow.f64 x 4)))) |
(+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 -2 (*.f64 x x))) (/.f64 -4 (pow.f64 x 4)))) |
(+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 (/.f64 -2 x) x) (/.f64 -4 (pow.f64 x 4))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -2 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 (/.f64 -2 x) x)) |
(-.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x)))) |
(+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 (/.f64 -2 x) x))) |
(-.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (/.f64 3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 4 (pow.f64 x 4))))) |
(+.f64 (/.f64 3 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 1 x) (/.f64 -2 (*.f64 x x))) (/.f64 4 (pow.f64 x 4)))) |
(+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 -2 (*.f64 x x))) (/.f64 -4 (pow.f64 x 4)))) |
(+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 (/.f64 -2 x) x) (/.f64 -4 (pow.f64 x 4))))) |
Compiled 37127 to 26407 computations (28.9% saved)
17 alts after pruning (7 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 826 | 3 | 829 |
| Fresh | 0 | 4 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 10 | 11 |
| Total | 828 | 17 | 845 |
| Status | Error | Program |
|---|---|---|
| 31.8b | (-.f64 x (-.f64 (*.f64 -2 x) 1)) | |
| 61.4b | (+.f64 (+.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x) -1) 1) | |
| 29.6b | (fma.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (fma.f64 x x -1) x)) (+.f64 x 1) (neg.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)))) | |
| 31.7b | (-.f64 x (*.f64 (-.f64 -1 x) (+.f64 x 1))) | |
| ✓ | 29.0b | (/.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)))) |
| ✓ | 29.1b | (-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1))) |
| 31.7b | 1 | |
| 32.1b | (-.f64 (/.f64 -3 x) (/.f64 (-.f64 1 (/.f64 -3 x)) (*.f64 x x))) | |
| ✓ | 32.5b | (-.f64 x -1) |
| ✓ | 32.5b | (/.f64 (+.f64 -3 (/.f64 -1 x)) x) |
| ✓ | 32.5b | (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
| ✓ | 32.6b | (*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
| ✓ | 31.7b | (/.f64 -3 x) |
| ✓ | 31.8b | (+.f64 (*.f64 3 x) 1) |
| ✓ | 61.3b | (-.f64 (+.f64 1 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) 1) |
| 29.6b | (fma.f64 (*.f64 (/.f64 1 (+.f64 x 1)) 1) x (neg.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)))) | |
| ✓ | 29.0b | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
Compiled 205 to 154 computations (24.9% 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 -1 x)) x) |
(-.f64 x (*.f64 (-.f64 -1 x) (+.f64 x 1))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
(-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(+.f64 (+.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x) -1) 1) |
(-.f64 (+.f64 1 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) 1) |
(-.f64 x (*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1))) |
(-.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))) |
(-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 1 (+.f64 x -1)) (+.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)))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))) |
(fma.f64 (*.f64 (/.f64 1 (+.f64 x 1)) 1) x (neg.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)))) |
(fma.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (+.f64 x -1)) x (neg.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)))) |
(fma.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (+.f64 x -1)) x (neg.f64 (/.f64 (+.f64 x 1) (*.f64 (/.f64 (+.f64 x -1) x) x)))) |
(fma.f64 (/.f64 1 (+.f64 x 1)) x (/.f64 (fma.f64 -1 x -1) (+.f64 x -1))) |
(fma.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (fma.f64 x x -1) x)) (+.f64 x 1) (neg.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)))) |
(fma.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (fma.f64 x x -1) x)) (+.f64 x 1) (neg.f64 (/.f64 (+.f64 x 1) (*.f64 (/.f64 (+.f64 x -1) x) x)))) |
(fma.f64 (sqrt.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))) (sqrt.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 x -1))) (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1)))) |
| Outputs |
|---|
(-.f64 (/.f64 -3 x) (/.f64 (-.f64 1 (/.f64 -3 x)) (*.f64 x x))) |
(fma.f64 (*.f64 (/.f64 1 (+.f64 x 1)) 1) x (neg.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)))) |
3 calls:
| 100.0ms | 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 |
| 0.0b | 2 | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 0.0b | 2 | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
Compiled 410 to 295 computations (28% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1352363493699613e-11 | 0.09923982432668654 |
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 -1 x)) x) |
(-.f64 x (*.f64 (-.f64 -1 x) (+.f64 x 1))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
(-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(+.f64 (+.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x) -1) 1) |
(-.f64 (+.f64 1 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) 1) |
(-.f64 x (*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1))) |
(-.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))) |
(-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 1 (+.f64 x -1)) (+.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)))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))) |
| Outputs |
|---|
(-.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))) |
3 calls:
| 30.0ms | x |
| 6.0ms | (-.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 |
| 0.0b | 2 | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 0.0b | 2 | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
Compiled 230 to 167 computations (27.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1352363493699613e-11 | 0.09923982432668654 |
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 -1 x)) x) |
(-.f64 x (*.f64 (-.f64 -1 x) (+.f64 x 1))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
(-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(+.f64 (+.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x) -1) 1) |
(-.f64 (+.f64 1 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) 1) |
(-.f64 x (*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1))) |
(-.f64 (/.f64 -3 x) (/.f64 (-.f64 1 (/.f64 -3 x)) (*.f64 x x))) |
| Outputs |
|---|
(-.f64 (/.f64 -3 x) (/.f64 (-.f64 1 (/.f64 -3 x)) (*.f64 x x))) |
(-.f64 x (*.f64 (-.f64 -1 x) (+.f64 x 1))) |
(-.f64 (/.f64 -3 x) (/.f64 (-.f64 1 (/.f64 -3 x)) (*.f64 x x))) |
1 calls:
| 27.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.8b | 3 | x |
Compiled 118 to 86 computations (27.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 0.027639669428479896 | 614634.9401830038 |
| 20.0ms | -5.732353929192063 | -0.039895893103919736 |
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 -1 x)) x) |
(-.f64 x (*.f64 (-.f64 -1 x) (+.f64 x 1))) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
(-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(+.f64 (+.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) x) -1) 1) |
(-.f64 (+.f64 1 (/.f64 (+.f64 -3 (/.f64 -1 x)) x)) 1) |
(-.f64 x (*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1))) |
| Outputs |
|---|
(/.f64 (+.f64 -3 (/.f64 -1 x)) x) |
(-.f64 x (*.f64 (-.f64 -1 x) (+.f64 x 1))) |
(/.f64 (+.f64 -3 (/.f64 -1 x)) x) |
1 calls:
| 26.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.9b | 3 | x |
Compiled 105 to 78 computations (25.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 0.027639669428479896 | 614634.9401830038 |
| 54.0ms | -5.732353929192063 | -0.039895893103919736 |
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 -1 x)) x) |
| Outputs |
|---|
(/.f64 (+.f64 -3 (/.f64 -1 x)) x) |
(+.f64 (*.f64 3 x) 1) |
(/.f64 (+.f64 -3 (/.f64 -1 x)) x) |
1 calls:
| 50.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.0b | 3 | x |
Compiled 36 to 27 computations (25% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 0.027639669428479896 | 614634.9401830038 |
| 20.0ms | -5.732353929192063 | -0.039895893103919736 |
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)) |
| Outputs |
|---|
(/.f64 -3 x) |
(+.f64 (*.f64 3 x) 1) |
(/.f64 -3 x) |
1 calls:
| 15.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.2b | 3 | x |
Compiled 29 to 22 computations (24.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 0.027639669428479896 | 614634.9401830038 |
| 21.0ms | -5.732353929192063 | -0.039895893103919736 |
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 |
|---|---|---|
| 1.8b | 3 | x |
Compiled 12 to 9 computations (25% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 0.027639669428479896 | 614634.9401830038 |
| 20.0ms | -5.732353929192063 | -0.039895893103919736 |
Compiled 18 to 13 computations (27.8% saved)
Total -0.8b remaining (-2.4%)
Threshold costs -0.8b (-2.4%)
| Inputs |
|---|
1 |
1 |
1 |
(-.f64 x -1) |
| Outputs |
|---|
1 |
1 calls:
| 4.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 31.7b | 1 | x |
Compiled 9 to 7 computations (22.2% saved)
| 1× | egg-herbie |
| 42× | cancel-sign-sub-inv_binary64 |
| 35× | distribute-rgt-neg-in_binary64 |
| 28× | neg-sub0_binary64 |
| 28× | neg-mul-1_binary64 |
| 27× | sub-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 326 |
| 1 | 77 | 324 |
| 2 | 108 | 324 |
| 3 | 135 | 324 |
| 4 | 194 | 324 |
| 5 | 260 | 324 |
| 6 | 304 | 324 |
| 7 | 350 | 324 |
| 8 | 378 | 324 |
| 9 | 382 | 324 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) 6189700196426901/309485009821345068724781056) (-.f64 (/.f64 -3 x) (/.f64 (-.f64 1 (/.f64 -3 x)) (*.f64 x x))) (fma.f64 (*.f64 (/.f64 1 (+.f64 x 1)) 1) x (neg.f64 (/.f64 (+.f64 x 1) (-.f64 x 1))))) |
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) 6189700196426901/309485009821345068724781056) (-.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)))) |
(if (<=.f64 x -6454056754866293/1125899906842624) (-.f64 (/.f64 -3 x) (/.f64 (-.f64 1 (/.f64 -3 x)) (*.f64 x x))) (if (<=.f64 x 497912019754983/18014398509481984) (-.f64 x (*.f64 (-.f64 -1 x) (+.f64 x 1))) (-.f64 (/.f64 -3 x) (/.f64 (-.f64 1 (/.f64 -3 x)) (*.f64 x x))))) |
(if (<=.f64 x -6454056754866293/1125899906842624) (/.f64 (+.f64 -3 (/.f64 -1 x)) x) (if (<=.f64 x 497912019754983/18014398509481984) (-.f64 x (*.f64 (-.f64 -1 x) (+.f64 x 1))) (/.f64 (+.f64 -3 (/.f64 -1 x)) x))) |
(if (<=.f64 x -6454056754866293/1125899906842624) (/.f64 (+.f64 -3 (/.f64 -1 x)) x) (if (<=.f64 x 497912019754983/18014398509481984) (+.f64 (*.f64 3 x) 1) (/.f64 (+.f64 -3 (/.f64 -1 x)) x))) |
(if (<=.f64 x -6454056754866293/1125899906842624) (/.f64 -3 x) (if (<=.f64 x 497912019754983/18014398509481984) (+.f64 (*.f64 3 x) 1) (/.f64 -3 x))) |
(if (<=.f64 x -6454056754866293/1125899906842624) (/.f64 -3 x) (if (<=.f64 x 497912019754983/18014398509481984) (-.f64 x -1) (/.f64 -3 x))) |
1 |
| Outputs |
|---|
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) 6189700196426901/309485009821345068724781056) (-.f64 (/.f64 -3 x) (/.f64 (-.f64 1 (/.f64 -3 x)) (*.f64 x x))) (fma.f64 (*.f64 (/.f64 1 (+.f64 x 1)) 1) x (neg.f64 (/.f64 (+.f64 x 1) (-.f64 x 1))))) |
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) 6189700196426901/309485009821345068724781056) (-.f64 (/.f64 -3 x) (/.f64 (-.f64 1 (/.f64 -3 x)) (*.f64 x x))) (fma.f64 (/.f64 1 (+.f64 x 1)) x (/.f64 (neg.f64 (+.f64 x 1)) (+.f64 x -1)))) |
(if (<=.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 -1 x) (+.f64 x -1))) 6189700196426901/309485009821345068724781056) (-.f64 (/.f64 -3 x) (/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x))) (fma.f64 (/.f64 1 (+.f64 x 1)) x (/.f64 (-.f64 -1 x) (+.f64 x -1)))) |
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) 6189700196426901/309485009821345068724781056) (-.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)))) |
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) 6189700196426901/309485009821345068724781056) (-.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)))) |
(if (<=.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 -1 x) (+.f64 x -1))) 6189700196426901/309485009821345068724781056) (-.f64 (/.f64 -3 x) (/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x))) (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 -1 x) (+.f64 x -1)))) |
(if (<=.f64 x -6454056754866293/1125899906842624) (-.f64 (/.f64 -3 x) (/.f64 (-.f64 1 (/.f64 -3 x)) (*.f64 x x))) (if (<=.f64 x 497912019754983/18014398509481984) (-.f64 x (*.f64 (-.f64 -1 x) (+.f64 x 1))) (-.f64 (/.f64 -3 x) (/.f64 (-.f64 1 (/.f64 -3 x)) (*.f64 x x))))) |
(if (<=.f64 x -6454056754866293/1125899906842624) (-.f64 (/.f64 -3 x) (/.f64 (-.f64 1 (/.f64 -3 x)) (*.f64 x x))) (if (<=.f64 x 497912019754983/18014398509481984) (-.f64 x (*.f64 (+.f64 x 1) (-.f64 -1 x))) (-.f64 (/.f64 -3 x) (/.f64 (-.f64 1 (/.f64 -3 x)) (*.f64 x x))))) |
(if (<=.f64 x -6454056754866293/1125899906842624) (-.f64 (/.f64 -3 x) (/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x))) (if (<=.f64 x 497912019754983/18014398509481984) (+.f64 x (*.f64 (-.f64 -1 x) (-.f64 -1 x))) (-.f64 (/.f64 -3 x) (/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x))))) |
(if (<=.f64 x -6454056754866293/1125899906842624) (-.f64 (/.f64 -3 x) (/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x))) (if (<=.f64 x 497912019754983/18014398509481984) (+.f64 x (*.f64 (+.f64 x 1) (+.f64 x 1))) (-.f64 (/.f64 -3 x) (/.f64 (+.f64 1 (/.f64 3 x)) (*.f64 x x))))) |
(if (<=.f64 x -6454056754866293/1125899906842624) (/.f64 (+.f64 -3 (/.f64 -1 x)) x) (if (<=.f64 x 497912019754983/18014398509481984) (-.f64 x (*.f64 (-.f64 -1 x) (+.f64 x 1))) (/.f64 (+.f64 -3 (/.f64 -1 x)) x))) |
(if (<=.f64 x -6454056754866293/1125899906842624) (/.f64 (+.f64 -3 (/.f64 -1 x)) x) (if (<=.f64 x 497912019754983/18014398509481984) (-.f64 x (*.f64 (+.f64 x 1) (-.f64 -1 x))) (/.f64 (+.f64 -3 (/.f64 -1 x)) x))) |
(if (<=.f64 x -6454056754866293/1125899906842624) (/.f64 (+.f64 -3 (/.f64 -1 x)) x) (if (<=.f64 x 497912019754983/18014398509481984) (+.f64 x (*.f64 (-.f64 -1 x) (-.f64 -1 x))) (/.f64 (+.f64 -3 (/.f64 -1 x)) x))) |
(if (<=.f64 x -6454056754866293/1125899906842624) (/.f64 (+.f64 -3 (/.f64 -1 x)) x) (if (<=.f64 x 497912019754983/18014398509481984) (+.f64 x (*.f64 (+.f64 x 1) (+.f64 x 1))) (/.f64 (+.f64 -3 (/.f64 -1 x)) x))) |
(if (<=.f64 x -6454056754866293/1125899906842624) (/.f64 (+.f64 -3 (/.f64 -1 x)) x) (if (<=.f64 x 497912019754983/18014398509481984) (+.f64 (*.f64 3 x) 1) (/.f64 (+.f64 -3 (/.f64 -1 x)) x))) |
(if (<=.f64 x -6454056754866293/1125899906842624) (/.f64 (+.f64 -3 (/.f64 -1 x)) x) (if (<=.f64 x 497912019754983/18014398509481984) (+.f64 1 (*.f64 x 3)) (/.f64 (+.f64 -3 (/.f64 -1 x)) x))) |
(if (<=.f64 x -6454056754866293/1125899906842624) (/.f64 -3 x) (if (<=.f64 x 497912019754983/18014398509481984) (+.f64 (*.f64 3 x) 1) (/.f64 -3 x))) |
(if (<=.f64 x -6454056754866293/1125899906842624) (/.f64 -3 x) (if (<=.f64 x 497912019754983/18014398509481984) (+.f64 1 (*.f64 x 3)) (/.f64 -3 x))) |
(if (<=.f64 x -6454056754866293/1125899906842624) (/.f64 -3 x) (if (<=.f64 x 497912019754983/18014398509481984) (-.f64 x -1) (/.f64 -3 x))) |
(if (<=.f64 x -6454056754866293/1125899906842624) (/.f64 -3 x) (if (<=.f64 x 497912019754983/18014398509481984) (+.f64 x 1) (/.f64 -3 x))) |
1 |
Compiled 231 to 167 computations (27.7% saved)
| 2× | egg-herbie |
| 820× | times-frac_binary64 |
| 536× | unswap-sqr_binary64 |
| 527× | times-frac_binary64 |
| 483× | associate-/r*_binary64 |
| 427× | sub-neg_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 466 |
| 1 | 205 | 439 |
| 2 | 589 | 432 |
| 3 | 1732 | 429 |
| 4 | 4980 | 429 |
| 0 | 27 | 357 |
| 1 | 81 | 321 |
| 2 | 191 | 321 |
| 3 | 451 | 321 |
| 4 | 1392 | 300 |
| 5 | 6292 | 300 |
| 1× | node limit |
| 1× | node limit |
Compiled 1412 to 1178 computations (16.6% saved)
Compiled 224 to 158 computations (29.5% saved)
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