Time bar (total: 7.0s)
| 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)
| 790.0ms | 4918× | body | 256 | valid |
| 747.0ms | 2046× | body | 1024 | valid |
| 254.0ms | 1071× | body | 512 | valid |
| 90.0ms | 221× | 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 |
|---|---|---|
| ▶ | 27.8b | (-.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)) |
| ✓ | 4.3b | (-.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 | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (/.f64 (+.f64 x 1) (-.f64 x 1)) |
| 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)) |
| 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)
14 alts after pruning (13 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 252 | 13 | 265 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 252 | 14 | 266 |
| Status | Error | Program |
|---|---|---|
| 27.8b | (-.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -1) (/.f64 (+.f64 x 1) (-.f64 x 1))) | |
| 33.0b | (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))) | |
| 30.5b | (-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1))) | |
| 28.1b | (/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 (/.f64 (+.f64 x 1) x) 1)) (*.f64 (/.f64 (+.f64 x 1) x) (/.f64 (+.f64 x -1) (+.f64 x 1)))) | |
| ▶ | 33.5b | (neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
| 30.5b | (+.f64 (*.f64 3 x) 1) | |
| ✓ | 27.8b | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| ▶ | 27.3b | (/.f64 (-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))) |
| ▶ | 33.4b | (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
| ▶ | 32.9b | (/.f64 -3 x) |
| ▶ | 27.9b | (-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1))) |
| 30.2b | 1 | |
| 27.8b | (-.f64 (log.f64 (exp.f64 (/.f64 x (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 x 1))) | |
| 33.2b | (+.f64 (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))) |
Compiled 382 to 286 computations (25.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1)) |
| ✓ | 0.0b | (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)) |
| ✓ | 0.3b | (/.f64 (-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))) |
| ✓ | 3.5b | (-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) |
Compiled 69 to 47 computations (31.9% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) |
| 1.0ms | x | @ | inf | (-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) |
| 1.0ms | x | @ | 0 | (-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) |
| 1.0ms | x | @ | inf | (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)) |
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)) |
| 1× | batch-egg-rewrite |
| 778× | log-prod_binary64 |
| 556× | fma-def_binary64 |
| 364× | log-div_binary64 |
| 332× | fma-neg_binary64 |
| 228× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 79 |
| 1 | 271 | 60 |
| 2 | 4798 | 60 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) |
(/.f64 (-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))) |
(*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)) |
(*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1)) |
| Outputs |
|---|
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(/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (+.f64 x 1) x) (/.f64 (*.f64 (+.f64 x 1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (*.f64 (+.f64 x 1) x) x) (/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 1) (/.f64 1 x) (/.f64 (*.f64 (+.f64 x 1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 1) (*.f64 (/.f64 1 x) 1) (/.f64 (*.f64 (+.f64 x 1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 1) (*.f64 (/.f64 1 x) x) (/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 x 1) x) x (/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 x 1) x) 1 (/.f64 (*.f64 (+.f64 x 1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (+.f64 x 1) x)) (/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 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#<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (+.f64 x 1) x) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) x)) (/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (/.f64 (+.f64 x 1) x))) (sqrt.f64 (/.f64 (+.f64 x 1) x)) (/.f64 (+.f64 x 1) x)))))) |
| 1× | egg-herbie |
| 920× | fma-neg_binary64 |
| 653× | times-frac_binary64 |
| 634× | associate-*r*_binary64 |
| 454× | cancel-sign-sub-inv_binary64 |
| 354× | associate-/l/_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 424 |
| 1 | 118 | 390 |
| 2 | 319 | 389 |
| 3 | 894 | 388 |
| 4 | 2623 | 377 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 x) |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
-3 |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
-3 |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
1 |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(/.f64 -1 x) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
x |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
x |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(-.f64 x (/.f64 1 x)) |
(/.f64 1 x) |
(+.f64 2 (/.f64 1 x)) |
(+.f64 2 (+.f64 (/.f64 1 x) x)) |
(+.f64 2 (+.f64 (/.f64 1 x) x)) |
x |
(+.f64 2 x) |
(+.f64 2 (+.f64 (/.f64 1 x) x)) |
(+.f64 2 (+.f64 (/.f64 1 x) x)) |
x |
(+.f64 2 x) |
(+.f64 2 (+.f64 (/.f64 1 x) x)) |
(+.f64 2 (+.f64 (/.f64 1 x) x)) |
| Outputs |
|---|
(/.f64 -1 x) |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
(+.f64 -3 (/.f64 -1 x)) |
(-.f64 -3 (/.f64 1 x)) |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
(+.f64 -3 (/.f64 -1 x)) |
(-.f64 -3 (/.f64 1 x)) |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
(+.f64 -3 (/.f64 -1 x)) |
(-.f64 -3 (/.f64 1 x)) |
-3 |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
(+.f64 -3 (/.f64 -1 x)) |
(-.f64 -3 (/.f64 1 x)) |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
(+.f64 -3 (/.f64 -1 x)) |
(-.f64 -3 (/.f64 1 x)) |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
(+.f64 -3 (/.f64 -1 x)) |
(-.f64 -3 (/.f64 1 x)) |
-3 |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
(+.f64 -3 (/.f64 -1 x)) |
(-.f64 -3 (/.f64 1 x)) |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
(+.f64 -3 (/.f64 -1 x)) |
(-.f64 -3 (/.f64 1 x)) |
(neg.f64 (+.f64 3 (/.f64 1 x))) |
(+.f64 -3 (/.f64 -1 x)) |
(-.f64 -3 (/.f64 1 x)) |
1 |
(+.f64 (*.f64 3 x) 1) |
(fma.f64 3 x 1) |
(fma.f64 x 3 1) |
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
(fma.f64 3 x (+.f64 1 (*.f64 x x))) |
(fma.f64 x 3 (fma.f64 x x 1)) |
(fma.f64 x x (fma.f64 x 3 1)) |
(fma.f64 x (+.f64 x 3) 1) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2)))) |
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (+.f64 1 (*.f64 x x)))) |
(fma.f64 x 3 (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1))) |
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1)) |
(fma.f64 x (+.f64 x 3) (fma.f64 3 (pow.f64 x 3) 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 -1 (*.f64 x x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))) |
(+.f64 (/.f64 -3 x) (*.f64 (/.f64 1 (*.f64 x x)) (-.f64 -1 (/.f64 3 x)))) |
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 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 x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (/.f64 -3 x) (fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (/.f64 -1 (pow.f64 x 4)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(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 -3 x) (*.f64 (/.f64 1 (*.f64 x x)) (-.f64 -1 (/.f64 3 x)))) |
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 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 x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (/.f64 -3 x) (fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (/.f64 -1 (pow.f64 x 4)))) |
(/.f64 -1 x) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
x |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
x |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(-.f64 x (/.f64 1 x)) |
(+.f64 x (/.f64 -1 x)) |
(/.f64 1 x) |
(+.f64 2 (/.f64 1 x)) |
(+.f64 (/.f64 1 x) 2) |
(+.f64 2 (+.f64 (/.f64 1 x) x)) |
(+.f64 2 (+.f64 x (/.f64 1 x))) |
(+.f64 x (+.f64 (/.f64 1 x) 2)) |
(+.f64 2 (+.f64 (/.f64 1 x) x)) |
(+.f64 2 (+.f64 x (/.f64 1 x))) |
(+.f64 x (+.f64 (/.f64 1 x) 2)) |
x |
(+.f64 2 x) |
(+.f64 x 2) |
(+.f64 2 (+.f64 (/.f64 1 x) x)) |
(+.f64 2 (+.f64 x (/.f64 1 x))) |
(+.f64 x (+.f64 (/.f64 1 x) 2)) |
(+.f64 2 (+.f64 (/.f64 1 x) x)) |
(+.f64 2 (+.f64 x (/.f64 1 x))) |
(+.f64 x (+.f64 (/.f64 1 x) 2)) |
x |
(+.f64 2 x) |
(+.f64 x 2) |
(+.f64 2 (+.f64 (/.f64 1 x) x)) |
(+.f64 2 (+.f64 x (/.f64 1 x))) |
(+.f64 x (+.f64 (/.f64 1 x) 2)) |
(+.f64 2 (+.f64 (/.f64 1 x) x)) |
(+.f64 2 (+.f64 x (/.f64 1 x))) |
(+.f64 x (+.f64 (/.f64 1 x) 2)) |
Compiled 6 to 4 computations (33.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
| ✓ | 0.3b | (/.f64 -1 (*.f64 x x)) |
Compiled 24 to 13 computations (45.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | 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 |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 (-.f64 (/.f64 -1 x) -3) x)) (/.f64 (*.f64 9 (pow.f64 x -2)) (/.f64 (-.f64 (/.f64 -1 x) -3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x))) (pow.f64 (cbrt.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x))) 2) (cbrt.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x))) (sqrt.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x))))))) (#(struct:change #<rule 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((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 x 3) (fma.f64 x (*.f64 x -3) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 9 (pow.f64 x -2))) (/.f64 3 (pow.f64 x 3))) (fma.f64 -1 (pow.f64 (pow.f64 x -2) 3) (/.f64 -27 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (-.f64 (/.f64 -1 x) -3) x) (-.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 9 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x (*.f64 x -3) (neg.f64 x)) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 (pow.f64 (pow.f64 x -2) 3) (/.f64 -27 (pow.f64 x 3))) (-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 9 (pow.f64 x -2))) (/.f64 3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 (pow.f64 (pow.f64 x -2) 3) (/.f64 -27 (pow.f64 x 3))) (fma.f64 9 (pow.f64 x -2) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 9 (pow.f64 x -2))) (/.f64 (-.f64 (/.f64 -1 x) -3) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x (*.f64 x -3) (neg.f64 x))) (neg.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -1 (pow.f64 (pow.f64 x -2) 3) (/.f64 -27 (pow.f64 x 3)))) (neg.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 9 (pow.f64 x -2))) (/.f64 3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 9 (pow.f64 x -2)))) (neg.f64 (/.f64 (-.f64 (/.f64 -1 x) -3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 (*.f64 x (neg.f64 x)) -3)) (*.f64 (*.f64 x (neg.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 (*.f64 (*.f64 x x) -1) -3)) (*.f64 (*.f64 (*.f64 x x) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (/.f64 -1 x) x (*.f64 x -3)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 (*.f64 x -1/3) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x -1/3 (*.f64 (*.f64 x (neg.f64 x)) 1)) (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x -1/3 (*.f64 (*.f64 (*.f64 x x) -1) 1)) (*.f64 (*.f64 (*.f64 x x) -1) (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (/.f64 -1 x) (*.f64 x -1/3) x) (*.f64 x (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 (neg.f64 x) (*.f64 (*.f64 x x) 3)) (*.f64 (*.f64 x x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 x (*.f64 (*.f64 x (neg.f64 x)) 3)) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 x (*.f64 (*.f64 (*.f64 x x) -1) 3)) (*.f64 (*.f64 (*.f64 x x) -1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (/.f64 -1 x) (neg.f64 x) (*.f64 x 3)) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x (*.f64 (*.f64 x -1/3) -1)) (*.f64 (*.f64 x -1/3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 3 (*.f64 x x) (*.f64 (neg.f64 x) -1)) (*.f64 (neg.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -3 (*.f64 x (neg.f64 x)) x) (*.f64 x (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x (neg.f64 x) (*.f64 (*.f64 x -1/3) 1)) (*.f64 (*.f64 x -1/3) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 3 (*.f64 x (neg.f64 x)) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -3 (*.f64 (*.f64 x x) -1) x) (*.f64 x (*.f64 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 x x) -1 (*.f64 (*.f64 x -1/3) 1)) (*.f64 (*.f64 x -1/3) (*.f64 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 3 (*.f64 (*.f64 x x) -1) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -3 x (*.f64 x (/.f64 -1 x))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 (*.f64 x -1/3) (/.f64 -1 x))) (*.f64 (*.f64 x -1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 3 x (*.f64 (neg.f64 x) (/.f64 -1 x))) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.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)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 3) (fma.f64 x (*.f64 x -3) (neg.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 9 (pow.f64 x -2))) (/.f64 3 (pow.f64 x 3))) (fma.f64 -1 (pow.f64 (pow.f64 x -2) 3) (/.f64 -27 (pow.f64 x 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 -1 x) -3) x) (-.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 9 (pow.f64 x -2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (neg.f64 (pow.f64 x -2)))) (exp.f64 (/.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 x -2))) (+.f64 1 (expm1.f64 (/.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (neg.f64 (pow.f64 x -2)))) (+.f64 1 (expm1.f64 (/.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -3 x))) (exp.f64 (neg.f64 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 -3 x)) (+.f64 1 (expm1.f64 (neg.f64 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -3 x))) (+.f64 1 (expm1.f64 (neg.f64 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1 (pow.f64 x -2) (/.f64 -3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x 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 1 (+.f64 x -1)) |
| 0.0b | (/.f64 x (+.f64 x 1)) | |
| ✓ | 0.1b | (*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1)) |
| ✓ | 8.9b | (-.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 (/.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 (/.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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-1)) 2)) (cbrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (+.f64 x -1))) (-.f64 (fma.f64 x x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x 1) -1) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (+.f64 x -1)) (fma.f64 x x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 1 (+.f64 x -1))) (exp.f64 (/.f64 x (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1)))) (exp.f64 (/.f64 x (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 x (+.f64 x -1))) (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 x) (log.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 (+.f64 x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 (+.f64 x -1)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x (+.f64 x -1)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 -1 (+.f64 x -1)) (/.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 x -1)) x (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 x -1)) 1 (/.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))) (/.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) x) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) 1) (/.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x -1))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2) (/.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x -1) -1/2) (*.f64 (pow.f64 (+.f64 x -1) -1/2) x) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x -1) -1/2) (*.f64 (pow.f64 (+.f64 x -1) -1/2) 1) (/.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x -1))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (+.f64 x -1)) 1 (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x -1))) 2) (cbrt.f64 (/.f64 x (+.f64 x -1))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x (+.f64 x -1))) (sqrt.f64 (/.f64 x (+.f64 x -1))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) -2) (/.f64 1 (cbrt.f64 (+.f64 x -1))) (/.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (+.f64 x -1) -1/2) (sqrt.f64 x)) (*.f64 (pow.f64 (+.f64 x -1) -1/2) (sqrt.f64 x)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (pow.f64 (+.f64 x -1) -1/2)) (*.f64 (sqrt.f64 x) (pow.f64 (+.f64 x -1) -1/2)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)) (/.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x 1) (/.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (+.f64 x -1)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (+.f64 x -1)) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (pow.f64 (+.f64 x -1) -2))) (/.f64 1 (cbrt.f64 (+.f64 x -1))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (+.f64 x -1) -1/2)) (pow.f64 (+.f64 x -1) -1/2) (/.f64 1 (+.f64 x -1))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (+.f64 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 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
| ✓ | 0.3b | (/.f64 1 (pow.f64 x 2)) |
| ✓ | 0.3b | (*.f64 3 (/.f64 1 x)) |
Compiled 44 to 35 computations (20.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 3 (/.f64 1 x)) |
| 0.0ms | x | @ | inf | (*.f64 3 (/.f64 1 x)) |
| 0.0ms | x | @ | 0 | (/.f64 1 (pow.f64 x 2)) |
| 0.0ms | x | @ | -inf | (*.f64 3 (/.f64 1 x)) |
| 0.0ms | x | @ | inf | (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
| 1× | batch-egg-rewrite |
| 966× | pow1_binary64 |
| 904× | add-log-exp_binary64 |
| 903× | log1p-expm1-u_binary64 |
| 903× | expm1-log1p-u_binary64 |
| 105× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 18 |
| 1 | 222 | 18 |
| 2 | 2761 | 18 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 3 (/.f64 1 x)) |
(/.f64 1 (pow.f64 x 2)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 3 x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -3 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 3 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 3 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x -2) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 3 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 3 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (pow.f64 x -1/2)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -2) (pow.f64 (cbrt.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) -2) (pow.f64 (sqrt.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) -2)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 3 x) (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x -4) (-.f64 (pow.f64 x -2) (/.f64 3 x))) (/.f64 (*.f64 (pow.f64 x -2) 9) (-.f64 (pow.f64 x -2) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 3 x) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 3 x) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 3 x) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 3 x) (pow.f64 x -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 3 x) (pow.f64 x -2))) 2) (cbrt.f64 (+.f64 (/.f64 3 x) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 3 x) (pow.f64 x -2))) (sqrt.f64 (+.f64 (/.f64 3 x) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x -6) (pow.f64 (/.f64 3 x) 3)) (/.f64 1 (+.f64 (pow.f64 x -4) (*.f64 (/.f64 3 x) (-.f64 (/.f64 3 x) (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x -4) (*.f64 (pow.f64 x -2) 9)) (/.f64 1 (-.f64 (pow.f64 x -2) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x -4) (*.f64 (/.f64 3 x) (-.f64 (/.f64 3 x) (pow.f64 x -2)))) (+.f64 (pow.f64 x -6) (pow.f64 (/.f64 3 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 x -2) (/.f64 3 x)) (-.f64 (pow.f64 x -4) (*.f64 (pow.f64 x -2) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x -6) (pow.f64 (/.f64 3 x) 3)) (+.f64 (pow.f64 x -4) (*.f64 (/.f64 3 x) (-.f64 (/.f64 3 x) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x -6) (pow.f64 (/.f64 3 x) 3)) (+.f64 (*.f64 (pow.f64 x -2) 9) (-.f64 (pow.f64 x -4) (/.f64 3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -4) (*.f64 (pow.f64 x -2) 9)) (-.f64 (pow.f64 x -2) (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x -6) (pow.f64 (/.f64 3 x) 3))) (neg.f64 (+.f64 (pow.f64 x -4) (*.f64 (/.f64 3 x) (-.f64 (/.f64 3 x) (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x -4) (*.f64 (pow.f64 x -2) 9))) (neg.f64 (-.f64 (pow.f64 x -2) (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 3 (*.f64 x x)) x) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 3 (*.f64 x (neg.f64 x))) (*.f64 x -1)) (*.f64 x (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 (*.f64 x x) 3)) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 x) (*.f64 (*.f64 x (neg.f64 x)) 3)) (*.f64 (*.f64 x (neg.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x -2) 9) (pow.f64 x -4)) (-.f64 (/.f64 3 x) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 3 x) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 3 x) (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 3 x) (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 3 x) (pow.f64 x -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 3 x) (pow.f64 x -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 3 x) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 3 x) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 3 x) (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 3 x) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 3 x) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 3 x) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (/.f64 1 x) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 3 x) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 x -2) (/.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) 3 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) (/.f64 1 x) (/.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 x -2)) (/.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) 9)) (cbrt.f64 (/.f64 3 x)) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 3 x)) (sqrt.f64 (/.f64 3 x)) (pow.f64 x -2)))))) |
| 1× | egg-herbie |
| 1082× | sqr-pow_binary64 |
| 560× | cube-prod_binary64 |
| 556× | fabs-mul_binary64 |
| 523× | pow-sqr_binary64 |
| 434× | unswap-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 63 |
| 1 | 14 | 63 |
| 2 | 21 | 63 |
| 3 | 38 | 63 |
| 4 | 81 | 63 |
| 5 | 243 | 63 |
| 6 | 899 | 63 |
| 7 | 2191 | 63 |
| 8 | 2357 | 63 |
| 9 | 2541 | 63 |
| 10 | 2749 | 63 |
| 11 | 3046 | 63 |
| 12 | 3439 | 63 |
| 13 | 3920 | 63 |
| 14 | 4486 | 63 |
| 15 | 5172 | 63 |
| 16 | 6009 | 63 |
| 17 | 6405 | 63 |
| 18 | 6695 | 63 |
| 19 | 6971 | 63 |
| 20 | 7043 | 63 |
| 21 | 7079 | 63 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 3 x) |
(/.f64 3 x) |
| Outputs |
|---|
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 3 x) |
(/.f64 1 (pow.f64 x 2)) |
(/.f64 1 (*.f64 x x)) |
(/.f64 3 x) |
(/.f64 3 x) |
Compiled 23366 to 16975 computations (27.4% saved)
9 alts after pruning (5 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 962 | 4 | 966 |
| Fresh | 7 | 1 | 8 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 4 | 5 |
| Total | 971 | 9 | 980 |
| Status | Error | Program |
|---|---|---|
| ▶ | 30.5b | (-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 30.2b | 1 | |
| ✓ | 32.9b | (/.f64 -3 x) |
| ▶ | 30.5b | (+.f64 (*.f64 3 x) 1) |
| ✓ | 33.4b | (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
| ✓ | 27.9b | (-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1))) |
| ✓ | 27.8b | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| ▶ | 33.5b | (*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
| ▶ | 0.3b | (/.f64 (-.f64 -3 (/.f64 1 x)) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))) |
Compiled 88 to 66 computations (25% saved)
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 | |
|---|---|---|---|---|
| 2.0ms | 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 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 |
|---|---|---|
| 0.0b | (/.f64 (+.f64 x 1) (-.f64 x 1)) |
Compiled 25 to 17 computations (32% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)) | |
| ✓ | 0.3b | (/.f64 (-.f64 -3 (/.f64 1 x)) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))) |
Compiled 48 to 34 computations (29.2% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 -3 (/.f64 1 x)) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 -3 (/.f64 1 x)) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 -3 (/.f64 1 x)) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))) |
| 1× | batch-egg-rewrite |
| 724× | log-prod_binary64 |
| 568× | prod-diff_binary64 |
| 338× | log-div_binary64 |
| 241× | expm1-udef_binary64 |
| 241× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 22 |
| 1 | 286 | 17 |
| 2 | 4483 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 -3 (/.f64 1 x)) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))) |
| Outputs |
|---|
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(/.f64 x (+.f64 1 x))) (fma.f64 x x -1)) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 x x -1) x) (+.f64 -3 (/.f64 -1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (neg.f64 (/.f64 (fma.f64 x x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 -3 (/.f64 -1 x)) 3) (pow.f64 (/.f64 (fma.f64 x x -1) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3 (/.f64 1 (/.f64 (fma.f64 x x -1) x)) (neg.f64 (*.f64 (/.f64 (/.f64 1 x) (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -3 (/.f64 (fma.f64 x x -1) x)) (neg.f64 (*.f64 (/.f64 (/.f64 1 x) (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 -3 (/.f64 (fma.f64 x x -1) x))) (cbrt.f64 (/.f64 -3 (/.f64 (fma.f64 x x -1) x)))) (cbrt.f64 (/.f64 -3 (/.f64 (fma.f64 x x -1) x))) (neg.f64 (*.f64 (/.f64 (/.f64 1 x) (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -3 (/.f64 (fma.f64 x x -1) x))) (sqrt.f64 (/.f64 -3 (/.f64 (fma.f64 x x -1) x))) (neg.f64 (*.f64 (/.f64 (/.f64 1 x) (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -3 (fma.f64 x x -1)) x (neg.f64 (*.f64 (/.f64 (/.f64 1 x) (fma.f64 x x -1)) x))))))) |
| 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 10885 to 7670 computations (29.5% saved)
10 alts after pruning (6 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 364 | 5 | 369 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 4 | 7 |
| Total | 368 | 10 | 378 |
| Status | Error | Program |
|---|---|---|
| ✓ | 30.5b | (-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 30.2b | 1 | |
| ✓ | 32.9b | (/.f64 -3 x) |
| ✓ | 30.5b | (+.f64 (*.f64 3 x) 1) |
| ▶ | 0.3b | (/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x))) |
| ✓ | 33.5b | (*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
| ▶ | 62.3b | (*.f64 3 x) |
| ▶ | 30.8b | (-.f64 x -1) |
| ▶ | 0.4b | (*.f64 (/.f64 x (+.f64 1 x)) (/.f64 (+.f64 -3 (/.f64 -1 x)) (+.f64 x -1))) |
| ▶ | 33.4b | (/.f64 (-.f64 -3 (/.f64 1 x)) x) |
Compiled 120 to 91 computations (24.2% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (/.f64 1 x)) |
| ✓ | 0.3b | (/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x))) |
Compiled 28 to 20 computations (28.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x))) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x))) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x))) |
| 0.0ms | x | @ | 0 | (-.f64 x (/.f64 1 x)) |
| 0.0ms | x | @ | -inf | (-.f64 x (/.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 469× | prod-diff_binary64 |
| 436× | log-prod_binary64 |
| 258× | pow-prod-down_binary64 |
| 247× | pow2_binary64 |
| 218× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 23 |
| 1 | 189 | 23 |
| 2 | 2773 | 23 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x))) |
(-.f64 x (/.f64 1 x)) |
| Outputs |
|---|
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(fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 x))) 2) (cbrt.f64 (+.f64 x (/.f64 -1 x))) (+.f64 (/.f64 -1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (/.f64 -1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (/.f64 -1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 x -1/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (/.f64 -1 x))) (sqrt.f64 (+.f64 x (/.f64 -1 x))) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (/.f64 -1 x))) (sqrt.f64 (+.f64 x (/.f64 -1 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (/.f64 -1 x))) (sqrt.f64 (+.f64 x (/.f64 -1 x))) (+.f64 (/.f64 -1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 -1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (fma.f64 x x (+.f64 1 (pow.f64 x -2)))) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (fma.f64 x x (+.f64 1 (pow.f64 x -2)))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (fma.f64 x x (+.f64 1 (pow.f64 x -2)))) (+.f64 (/.f64 -1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 x -2)) (/.f64 1 (+.f64 x (/.f64 1 x))) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 x -2)) (/.f64 1 (+.f64 x (/.f64 1 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 x -2)) (/.f64 1 (+.f64 x (/.f64 1 x))) (+.f64 (/.f64 -1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 x)) 2) (cbrt.f64 (/.f64 -1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1 x)) (sqrt.f64 (/.f64 -1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 x) (pow.f64 x -1/2)) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 x) (pow.f64 x -1/2)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 x) (pow.f64 x -1/2)) (+.f64 (/.f64 -1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) x))))) |
| 1× | egg-herbie |
| 884× | fma-neg_binary64 |
| 650× | associate-*l*_binary64 |
| 646× | times-frac_binary64 |
| 415× | cancel-sign-sub-inv_binary64 |
| 353× | associate-/l/_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 193 |
| 1 | 99 | 177 |
| 2 | 285 | 176 |
| 3 | 850 | 175 |
| 4 | 2572 | 164 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(/.f64 -1 x) |
x |
x |
| Outputs |
|---|
1 |
(+.f64 (*.f64 3 x) 1) |
(fma.f64 3 x 1) |
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2))) |
(+.f64 (fma.f64 3 x 1) (*.f64 x x)) |
(fma.f64 3 x (fma.f64 x x 1)) |
(fma.f64 x (+.f64 3 x) 1) |
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2)))) |
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (+.f64 1 (*.f64 x x)))) |
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1))) |
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1)) |
(fma.f64 3 (pow.f64 x 3) (fma.f64 x (+.f64 3 x) 1)) |
(*.f64 (fma.f64 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 -3 x) (/.f64 (/.f64 1 x) x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))) |
(-.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (/.f64 3 (pow.f64 x 3))) |
(fma.f64 (/.f64 (/.f64 1 x) x) (+.f64 -1 (/.f64 -3 x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.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 -3 (pow.f64 x 3)) (-.f64 (/.f64 -3 x) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (fma.f64 (/.f64 (/.f64 1 x) x) (+.f64 -1 (/.f64 -3 x)) (/.f64 -3 x))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))) |
(-.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (/.f64 3 (pow.f64 x 3))) |
(fma.f64 (/.f64 (/.f64 1 x) x) (+.f64 -1 (/.f64 -3 x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.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 -3 (pow.f64 x 3)) (-.f64 (/.f64 -3 x) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (fma.f64 (/.f64 (/.f64 1 x) x) (+.f64 -1 (/.f64 -3 x)) (/.f64 -3 x))) |
(/.f64 -1 x) |
x |
x |
Compiled 6 to 4 computations (33.3% saved)
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 | |
|---|---|---|---|---|
| 2.0ms | 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 |
| 854× | pow1_binary64 |
| 801× | add-log-exp_binary64 |
| 801× | log1p-expm1-u_binary64 |
| 801× | expm1-log1p-u_binary64 |
| 787× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 158 | 10 |
| 2 | 2152 | 10 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 -3 (/.f64 1 x)) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -3 x) (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -3 x) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (-.f64 (/.f64 -3 x) (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 -3 x) (pow.f64 x -2)))))) (#(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 -3 (/.f64 1 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2)) 1)))) (#(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 x) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2))) 2) (cbrt.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2))))))) (#(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 (pow.f64 x -1/2) (/.f64 (-.f64 -3 (/.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2))) (sqrt.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 -3 (/.f64 1 x))) (/.f64 -1 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) 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 (pow.f64 (cbrt.f64 (-.f64 -3 (/.f64 1 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2))))))) (#(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 (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 *.f64 (*.f64 (-.f64 -3 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 -3 (/.f64 1 x)) (pow.f64 x -1/2)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2))) 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 x) (pow.f64 x -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2)) 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 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 x) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2)))))))) |
| 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 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 x (+.f64 1 x)) |
| ✓ | 0.0b | (/.f64 (+.f64 -3 (/.f64 -1 x)) (+.f64 x -1)) |
| ✓ | 0.3b | (*.f64 (/.f64 x (+.f64 1 x)) (/.f64 (+.f64 -3 (/.f64 -1 x)) (+.f64 x -1))) |
Compiled 48 to 35 computations (27.1% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (*.f64 (/.f64 x (+.f64 1 x)) (/.f64 (+.f64 -3 (/.f64 -1 x)) (+.f64 x -1))) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 -3 (/.f64 -1 x)) (+.f64 x -1)) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 x (+.f64 1 x)) (/.f64 (+.f64 -3 (/.f64 -1 x)) (+.f64 x -1))) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 x (+.f64 1 x)) (/.f64 (+.f64 -3 (/.f64 -1 x)) (+.f64 x -1))) |
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 -3 (/.f64 -1 x)) (+.f64 x -1)) |
| 1× | batch-egg-rewrite |
| 691× | log-prod_binary64 |
| 327× | log-div_binary64 |
| 306× | prod-diff_binary64 |
| 294× | fma-def_binary64 |
| 245× | expm1-udef_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 42 |
| 1 | 281 | 42 |
| 2 | 4278 | 37 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 x (+.f64 1 x)) (/.f64 (+.f64 -3 (/.f64 -1 x)) (+.f64 x -1))) |
(/.f64 (+.f64 -3 (/.f64 -1 x)) (+.f64 x -1)) |
(/.f64 x (+.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (/.f64 (fma.f64 x x -1) (+.f64 -3 (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (/.f64 (fma.f64 x x -1) (+.f64 -3 (/.f64 -1 x)))))) (cbrt.f64 (exp.f64 (/.f64 x (/.f64 (fma.f64 x x -1) (+.f64 -3 (/.f64 -1 x)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (/.f64 (fma.f64 x x -1) (+.f64 -3 (/.f64 -1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (/.f64 (fma.f64 x x -1) (+.f64 -3 (/.f64 -1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (/.f64 (fma.f64 x x -1) (+.f64 -3 (/.f64 -1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 (fma.f64 x x -1) (+.f64 -3 (/.f64 -1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 (+.f64 x 1) (/.f64 (-.f64 x 1) (+.f64 -3 (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 (/.f64 (-.f64 x 1) (+.f64 -3 (/.f64 -1 x))) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (fma.f64 x x -1) (+.f64 -3 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (+.f64 x 1) (/.f64 (+.f64 -3 (/.f64 -1 x)) (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (+.f64 x 1) x) (/.f64 (-.f64 x 1) (+.f64 -3 (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (-.f64 x 1) (+.f64 -3 (/.f64 -1 x))) (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x -1) (*.f64 x (+.f64 -3 (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 1) (*.f64 x (/.f64 (+.f64 -3 (/.f64 -1 x)) (-.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x 1) (*.f64 (/.f64 x (+.f64 x 1)) (+.f64 -3 (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 x 1) (+.f64 -3 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -3 (/.f64 -1 x)) (*.f64 (/.f64 (+.f64 x 1) x) (-.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -3 (/.f64 -1 x)) (*.f64 (-.f64 x 1) (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (-.f64 x 1)) (/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (*.f64 (/.f64 (-.f64 x 1) (+.f64 -3 (/.f64 -1 x))) (fma.f64 x -1 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 3 (neg.f64 (/.f64 -1 x))) (*.f64 (/.f64 (+.f64 x 1) x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 -3 (/.f64 -1 x))) (fma.f64 x x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 (+.f64 -3 (/.f64 -1 x)) (-.f64 x 1))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x (+.f64 x 1)) (+.f64 -3 (/.f64 -1 x))) (-.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (+.f64 -3 (/.f64 -1 x)))) (neg.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (/.f64 (+.f64 -3 (/.f64 -1 x)) (-.f64 x 1)))) (fma.f64 x -1 -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 x (+.f64 x 1)) (+.f64 -3 (/.f64 -1 x)))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 1) (*.f64 (fma.f64 x -1 -1) (/.f64 (-.f64 x 1) (+.f64 -3 (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (+.f64 -3 (/.f64 -1 x))) (*.f64 (fma.f64 x -1 -1) (-.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 3 (neg.f64 (/.f64 -1 x)))) (*.f64 (+.f64 x 1) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (+.f64 3 (neg.f64 (/.f64 -1 x)))) (*.f64 (fma.f64 x -1 -1) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 3 (neg.f64 (/.f64 -1 x))) x) (*.f64 (-.f64 1 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x 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(*.f64 (/.f64 x (+.f64 x 1)) (+.f64 -3 (/.f64 -1 x))) (pow.f64 (cbrt.f64 (-.f64 x 1)) 2)) (cbrt.f64 (-.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 x (+.f64 x 1)) (+.f64 -3 (/.f64 -1 x))) (sqrt.f64 (-.f64 x 1))) (sqrt.f64 (-.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (/.f64 (+.f64 -3 (/.f64 -1 x)) (-.f64 x 1))) (fma.f64 x -1 -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 3 (neg.f64 (/.f64 -1 x))) (/.f64 x (+.f64 x 1))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x (+.f64 x 1)) (+.f64 3 (neg.f64 (/.f64 -1 x)))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (-.f64 x 1)) (neg.f64 x)) (fma.f64 x -1 -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 (fma.f64 x x -1) (+.f64 -3 (/.f64 -1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (/.f64 (fma.f64 x x -1) (+.f64 -3 (/.f64 -1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (/.f64 (fma.f64 x x -1) (+.f64 -3 (/.f64 -1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (/.f64 (fma.f64 x x -1) (+.f64 -3 (/.f64 -1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (/.f64 (fma.f64 x x -1) (+.f64 -3 (/.f64 -1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (/.f64 (fma.f64 x x -1) (+.f64 -3 (/.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 (fma.f64 x x -1) (+.f64 -3 (/.f64 -1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (/.f64 (fma.f64 x x -1) (+.f64 -3 (/.f64 -1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (-.f64 x 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (-.f64 x 1)) 3) (pow.f64 (/.f64 x (+.f64 x 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (/.f64 (fma.f64 x x -1) (+.f64 -3 (/.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (/.f64 (fma.f64 x x -1) (+.f64 -3 (/.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (/.f64 (fma.f64 x x -1) (+.f64 -3 (/.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 (fma.f64 x x -1) (+.f64 -3 (/.f64 -1 x))))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 -3 (/.f64 -1 x)) (-.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (-.f64 x 1)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (-.f64 x 1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (-.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (-.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (-.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (-.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 -3 (/.f64 -1 x)) (-.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -3 (/.f64 -1 x)) (/.f64 1 (-.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (-.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (-.f64 x 1))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (-.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (-.f64 x 1))) 2) (cbrt.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -3 (/.f64 -1 x))) 2) (*.f64 (cbrt.f64 (+.f64 -3 (/.f64 -1 x))) (/.f64 1 (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (-.f64 x 1))) (sqrt.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -3 (/.f64 -1 x))) (*.f64 (sqrt.f64 (+.f64 -3 (/.f64 -1 x))) (/.f64 1 (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 3 (neg.f64 (/.f64 -1 x))) (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 x 1)) (+.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))) (-.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 -3 (/.f64 -1 x))) 1) (/.f64 (sqrt.f64 (+.f64 -3 (/.f64 -1 x))) (-.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x 1)) 2)) (/.f64 (+.f64 -3 (/.f64 -1 x)) (cbrt.f64 (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -3 (/.f64 -1 x))) 2) (pow.f64 (cbrt.f64 (-.f64 x 1)) 2)) (cbrt.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 -3 (/.f64 -1 x))) (pow.f64 (cbrt.f64 (-.f64 x 1)) 2)) (/.f64 (sqrt.f64 (+.f64 -3 (/.f64 -1 x))) (cbrt.f64 (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 x 1))) (/.f64 (+.f64 -3 (/.f64 -1 x)) (sqrt.f64 (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -3 (/.f64 -1 x))) 2) (sqrt.f64 (-.f64 x 1))) (/.f64 (cbrt.f64 (+.f64 -3 (/.f64 -1 x))) (sqrt.f64 (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (-.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (-.f64 x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (-.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (-.f64 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x 1) (+.f64 -3 (/.f64 -1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (-.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (-.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (-.f64 x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 -3 (/.f64 -1 x)) 3) (pow.f64 (-.f64 x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 -3 (/.f64 -1 x)) (-.f64 x 1))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x 1)))) (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x 1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2) (cbrt.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (fma.f64 x -1 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (fma.f64 x -1 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) 1)))))) |
| 1× | egg-herbie |
| 551× | sub-neg_binary64 |
| 492× | fma-neg_binary64 |
| 329× | distribute-neg-frac_binary64 |
| 287× | fma-def_binary64 |
| 276× | cancel-sign-sub-inv_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 525 |
| 1 | 199 | 489 |
| 2 | 620 | 482 |
| 3 | 1987 | 479 |
| 4 | 5982 | 479 |
| 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 4 (/.f64 1 x)) |
(+.f64 4 (+.f64 (/.f64 1 x) (*.f64 4 x))) |
(+.f64 4 (+.f64 (*.f64 4 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (*.f64 4 x)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 3 (/.f64 1 x)))))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 3 (/.f64 1 x)))))) |
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 -1 (*.f64 x x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 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 -3 x) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) |
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))) |
(-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 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 1 x) |
(+.f64 4 (/.f64 1 x)) |
(+.f64 (/.f64 1 x) 4) |
(+.f64 4 (+.f64 (/.f64 1 x) (*.f64 4 x))) |
(+.f64 4 (+.f64 (/.f64 1 x) (*.f64 x 4))) |
(+.f64 4 (fma.f64 x 4 (/.f64 1 x))) |
(+.f64 (/.f64 1 x) (fma.f64 x 4 4)) |
(+.f64 4 (+.f64 (*.f64 4 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (*.f64 4 x)))) |
(+.f64 4 (fma.f64 4 (*.f64 x x) (+.f64 (/.f64 1 x) (*.f64 x 4)))) |
(+.f64 4 (fma.f64 (*.f64 x x) 4 (fma.f64 x 4 (/.f64 1 x)))) |
(fma.f64 (fma.f64 x x 1) 4 (fma.f64 x 4 (/.f64 1 x))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 3 x) (/.f64 4 (*.f64 x x)))) |
(+.f64 (/.f64 -3 x) (/.f64 -4 (*.f64 x x))) |
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 3 x) (/.f64 4 (*.f64 x x))) (/.f64 4 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -3 x) (/.f64 -4 (*.f64 x x))) (/.f64 -4 (pow.f64 x 3))) |
(+.f64 (/.f64 -4 (*.f64 x x)) (-.f64 (/.f64 -3 x) (/.f64 4 (pow.f64 x 3)))) |
(+.f64 (/.f64 -4 (*.f64 x x)) (+.f64 (/.f64 -4 (pow.f64 x 3)) (/.f64 -3 x))) |
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 3 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 3 x) (/.f64 4 (*.f64 x x))) (/.f64 4 (pow.f64 x 3))) (/.f64 4 (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 -4 (pow.f64 x 4)) (/.f64 -4 (pow.f64 x 3))) (+.f64 (/.f64 -3 x) (/.f64 -4 (*.f64 x x)))) |
(-.f64 (/.f64 -4 (pow.f64 x 3)) (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 4 (pow.f64 x 4))))) |
(+.f64 (/.f64 -4 (*.f64 x x)) (-.f64 (+.f64 (/.f64 -4 (pow.f64 x 3)) (/.f64 -3 x)) (/.f64 4 (pow.f64 x 4)))) |
(-.f64 (/.f64 -4 (pow.f64 x 4)) (-.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 -4 (pow.f64 x 3)) (/.f64 -3 x)))) |
(/.f64 -3 x) |
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 3 (/.f64 1 x)))) |
(neg.f64 (+.f64 (/.f64 3 x) (/.f64 4 (*.f64 x x)))) |
(+.f64 (/.f64 -3 x) (/.f64 -4 (*.f64 x x))) |
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 3 (/.f64 1 x))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 3 x) (/.f64 4 (*.f64 x x))) (/.f64 4 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 -3 x) (/.f64 -4 (*.f64 x x))) (/.f64 -4 (pow.f64 x 3))) |
(+.f64 (/.f64 -4 (*.f64 x x)) (-.f64 (/.f64 -3 x) (/.f64 4 (pow.f64 x 3)))) |
(+.f64 (/.f64 -4 (*.f64 x x)) (+.f64 (/.f64 -4 (pow.f64 x 3)) (/.f64 -3 x))) |
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 3 (/.f64 1 x)))))) |
(neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 3 x) (/.f64 4 (*.f64 x x))) (/.f64 4 (pow.f64 x 3))) (/.f64 4 (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 -4 (pow.f64 x 4)) (/.f64 -4 (pow.f64 x 3))) (+.f64 (/.f64 -3 x) (/.f64 -4 (*.f64 x x)))) |
(-.f64 (/.f64 -4 (pow.f64 x 3)) (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 4 (pow.f64 x 4))))) |
(+.f64 (/.f64 -4 (*.f64 x x)) (-.f64 (+.f64 (/.f64 -4 (pow.f64 x 3)) (/.f64 -3 x)) (/.f64 4 (pow.f64 x 4)))) |
(-.f64 (/.f64 -4 (pow.f64 x 4)) (-.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 -4 (pow.f64 x 3)) (/.f64 -3 x)))) |
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 (-.f64 (fma.f64 x x 1) 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 (/.f64 (/.f64 1 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 (+.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (/.f64 1 x))) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))) |
1 |
(-.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 -1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 -1 x))) |
(+.f64 (/.f64 (/.f64 1 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 (+.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (/.f64 1 x))) (/.f64 1 (pow.f64 x 3))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))) |
Compiled 12492 to 9253 computations (25.9% saved)
11 alts after pruning (2 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 461 | 1 | 462 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 8 | 8 |
| Total | 461 | 11 | 472 |
| Status | Error | Program |
|---|---|---|
| ✓ | 30.5b | (-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 30.2b | 1 | |
| ✓ | 32.9b | (/.f64 -3 x) |
| ✓ | 30.5b | (+.f64 (*.f64 3 x) 1) |
| ✓ | 0.3b | (/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x))) |
| ✓ | 33.5b | (*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
| 0.4b | (*.f64 (/.f64 1 (+.f64 x (/.f64 -1 x))) (+.f64 -3 (/.f64 -1 x))) | |
| ✓ | 62.3b | (*.f64 3 x) |
| ✓ | 30.8b | (-.f64 x -1) |
| ✓ | 0.4b | (*.f64 (/.f64 x (+.f64 1 x)) (/.f64 (+.f64 -3 (/.f64 -1 x)) (+.f64 x -1))) |
| ✓ | 33.4b | (/.f64 (-.f64 -3 (/.f64 1 x)) x) |
Compiled 90 to 69 computations (23.3% saved)
| Inputs |
|---|
1 |
1 |
(*.f64 3 x) |
(-.f64 x -1) |
(/.f64 -3 x) |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) 1) |
(/.f64 (-.f64 -3 (/.f64 1 x)) x) |
(*.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 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x))) |
(*.f64 (/.f64 1 (+.f64 x (/.f64 -1 x))) (+.f64 -3 (/.f64 -1 x))) |
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
(*.f64 (/.f64 x (+.f64 1 x)) (/.f64 (+.f64 -3 (/.f64 -1 x)) (+.f64 x -1))) |
(/.f64 (-.f64 -3 (/.f64 1 x)) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))) |
(-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1))) |
(/.f64 (-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))) |
(/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 (/.f64 (+.f64 x 1) x) 1)) (*.f64 (/.f64 (+.f64 x 1) x) (/.f64 (+.f64 x -1) (+.f64 x 1)))) |
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))) |
(-.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -1) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))) |
(-.f64 (log.f64 (exp.f64 (/.f64 x (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
(+.f64 (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))) |
| Outputs |
|---|
(/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x))) |
3 calls:
| 12.0ms | x |
| 4.0ms | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 4.0ms | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 1 | x |
| 0.3b | 1 | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
| 0.3b | 1 | (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) |
Compiled 298 to 216 computations (27.5% saved)
| Inputs |
|---|
1 |
1 |
(*.f64 3 x) |
(-.f64 x -1) |
(/.f64 -3 x) |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) 1) |
(/.f64 (-.f64 -3 (/.f64 1 x)) x) |
(*.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)) |
| Outputs |
|---|
(/.f64 (-.f64 -3 (/.f64 1 x)) x) |
(-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1))) |
(/.f64 (-.f64 -3 (/.f64 1 x)) x) |
1 calls:
| 24.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.5b | 3 | x |
Compiled 58 to 42 computations (27.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 36.0ms | 0.8168229154669971 | 2784.0269533555415 |
| 20.0ms | -1010635932.7158917 | -1.3551429534124365e-6 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
1 |
1 |
(*.f64 3 x) |
(-.f64 x -1) |
(/.f64 -3 x) |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) 1) |
(/.f64 (-.f64 -3 (/.f64 1 x)) x) |
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x))) |
| Outputs |
|---|
(/.f64 (-.f64 -3 (/.f64 1 x)) x) |
(+.f64 (*.f64 3 x) 1) |
(/.f64 (-.f64 -3 (/.f64 1 x)) x) |
1 calls:
| 16.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.5b | 3 | x |
Compiled 40 to 30 computations (25% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 0.8168229154669971 | 2784.0269533555415 |
| 20.0ms | -1010635932.7158917 | -1.3551429534124365e-6 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
1 |
1 |
(*.f64 3 x) |
(-.f64 x -1) |
(/.f64 -3 x) |
(+.f64 (*.f64 3 x) 1) |
(+.f64 (*.f64 3 x) 1) |
| Outputs |
|---|
(/.f64 -3 x) |
(+.f64 (*.f64 3 x) 1) |
(/.f64 -3 x) |
1 calls:
| 14.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.0b | 3 | x |
Compiled 24 to 18 computations (25% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 0.8168229154669971 | 2784.0269533555415 |
| 22.0ms | -1010635932.7158917 | -1.3551429534124365e-6 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
1 |
1 |
(*.f64 3 x) |
(-.f64 x -1) |
(/.f64 -3 x) |
| Outputs |
|---|
(/.f64 -3 x) |
(-.f64 x -1) |
(/.f64 -3 x) |
1 calls:
| 62.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.2b | 3 | x |
Compiled 14 to 10 computations (28.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 112.0ms | 0.8168229154669971 | 2784.0269533555415 |
| 20.0ms | -1010635932.7158917 | -1.3551429534124365e-6 |
Compiled 18 to 13 computations (27.8% saved)
Total -32.1b remaining (-106.5%)
Threshold costs -32.1b (-106.5%)
| Inputs |
|---|
1 |
1 |
(*.f64 3 x) |
(-.f64 x -1) |
| Outputs |
|---|
1 |
1 calls:
| 4.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 30.2b | 1 | x |
Compiled 11 to 8 computations (27.3% saved)
| 1× | egg-herbie |
| 10× | +-commutative_binary64 |
| 9× | sub-neg_binary64 |
| 5× | *-commutative_binary64 |
| 4× | neg-sub0_binary64 |
| 4× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 152 |
| 1 | 46 | 152 |
| 2 | 57 | 152 |
| 3 | 66 | 152 |
| 4 | 73 | 152 |
| 5 | 76 | 152 |
| 6 | 77 | 152 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x))) |
(if (<=.f64 x -8477828670267991/8388608) (/.f64 (-.f64 -3 (/.f64 1 x)) x) (if (<=.f64 x 7357286755449701/9007199254740992) (-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1))) (/.f64 (-.f64 -3 (/.f64 1 x)) x))) |
(if (<=.f64 x -8477828670267991/8388608) (/.f64 (-.f64 -3 (/.f64 1 x)) x) (if (<=.f64 x 7357286755449701/9007199254740992) (+.f64 (*.f64 3 x) 1) (/.f64 (-.f64 -3 (/.f64 1 x)) x))) |
(if (<=.f64 x -8477828670267991/8388608) (/.f64 -3 x) (if (<=.f64 x 7357286755449701/9007199254740992) (+.f64 (*.f64 3 x) 1) (/.f64 -3 x))) |
(if (<=.f64 x -8477828670267991/8388608) (/.f64 -3 x) (if (<=.f64 x 7357286755449701/9007199254740992) (-.f64 x -1) (/.f64 -3 x))) |
1 |
| Outputs |
|---|
(/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x))) |
(/.f64 (-.f64 -3 (/.f64 1 x)) (+.f64 x (/.f64 -1 x))) |
(if (<=.f64 x -8477828670267991/8388608) (/.f64 (-.f64 -3 (/.f64 1 x)) x) (if (<=.f64 x 7357286755449701/9007199254740992) (-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1))) (/.f64 (-.f64 -3 (/.f64 1 x)) x))) |
(if (<=.f64 x -8477828670267991/8388608) (/.f64 (-.f64 -3 (/.f64 1 x)) x) (if (<=.f64 x 7357286755449701/9007199254740992) (-.f64 x (/.f64 (+.f64 1 x) (+.f64 x -1))) (/.f64 (-.f64 -3 (/.f64 1 x)) x))) |
(if (<=.f64 x -8477828670267991/8388608) (/.f64 (-.f64 -3 (/.f64 1 x)) x) (if (<=.f64 x 7357286755449701/9007199254740992) (+.f64 x (/.f64 (-.f64 -1 x) (+.f64 x -1))) (/.f64 (-.f64 -3 (/.f64 1 x)) x))) |
(if (<=.f64 x -8477828670267991/8388608) (/.f64 (-.f64 -3 (/.f64 1 x)) x) (if (<=.f64 x 7357286755449701/9007199254740992) (+.f64 (*.f64 3 x) 1) (/.f64 (-.f64 -3 (/.f64 1 x)) x))) |
(if (<=.f64 x -8477828670267991/8388608) (/.f64 (-.f64 -3 (/.f64 1 x)) x) (if (<=.f64 x 7357286755449701/9007199254740992) (+.f64 1 (*.f64 x 3)) (/.f64 (-.f64 -3 (/.f64 1 x)) x))) |
(if (<=.f64 x -8477828670267991/8388608) (/.f64 -3 x) (if (<=.f64 x 7357286755449701/9007199254740992) (+.f64 (*.f64 3 x) 1) (/.f64 -3 x))) |
(if (<=.f64 x -8477828670267991/8388608) (/.f64 -3 x) (if (<=.f64 x 7357286755449701/9007199254740992) (+.f64 1 (*.f64 x 3)) (/.f64 -3 x))) |
(if (<=.f64 x -8477828670267991/8388608) (/.f64 -3 x) (if (<=.f64 x 7357286755449701/9007199254740992) (-.f64 x -1) (/.f64 -3 x))) |
(if (<=.f64 x -8477828670267991/8388608) (/.f64 -3 x) (if (<=.f64 x 7357286755449701/9007199254740992) (+.f64 1 x) (/.f64 -3 x))) |
1 |
Compiled 112 to 83 computations (25.9% saved)
| 1× | egg-herbie |
| 920× | fma-neg_binary64 |
| 653× | times-frac_binary64 |
| 634× | associate-*r*_binary64 |
| 454× | cancel-sign-sub-inv_binary64 |
| 354× | associate-/l/_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 424 |
| 1 | 118 | 390 |
| 2 | 319 | 389 |
| 3 | 894 | 388 |
| 4 | 2623 | 377 |
| 1× | node limit |
Compiled 28 to 24 computations (14.3% saved)
Compiled 107 to 78 computations (27.1% saved)
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