Time bar (total: 5.0s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 50% | 50% | 0% | 3 |
| 62.5% | 37.5% | 0% | 4 |
| 81.2% | 18.7% | 0% | 5 |
| 90.6% | 9.4% | 0% | 6 |
| 95.3% | 4.7% | 0% | 7 |
| 97.6% | 2.3% | 0% | 8 |
| 98.8% | 1.2% | 0% | 9 |
| 99.4% | 0.6% | 0% | 10 |
| 99.7% | 0.3% | 0% | 11 |
| 99.8% | 0.1% | 0% | 12 |
Compiled 11 to 9 computations (18.2% saved)
| 721.0ms | 5788× | body | 256 | valid |
| 526.0ms | 2031× | body | 512 | valid |
| 89.0ms | 437× | body | 1024 | valid |
| 0.0ms | 1× | body | 256 | invalid |
| 2× | egg-herbie |
| 39× | fma-def_binary64 |
| 32× | fma-neg_binary64 |
| 15× | cancel-sign-sub-inv_binary64 |
| 12× | sub-neg_binary64 |
| 10× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 12 | 13 |
| 2 | 18 | 13 |
| 3 | 26 | 13 |
| 4 | 36 | 13 |
| 5 | 54 | 13 |
| 6 | 91 | 13 |
| 7 | 125 | 13 |
| 8 | 171 | 13 |
| 9 | 207 | 13 |
| 10 | 233 | 13 |
| 11 | 235 | 13 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) |
| Outputs |
|---|
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) |
(-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x)) |
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) |
(-.f64 (/.f64 -1 x) (/.f64 -1 (+.f64 1 x))) |
Compiled 11 to 9 computations (18.2% saved)
| 1× | egg-herbie |
| 39× | fma-def_binary64 |
| 32× | fma-neg_binary64 |
| 15× | cancel-sign-sub-inv_binary64 |
| 12× | sub-neg_binary64 |
| 10× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 12 | 13 |
| 2 | 18 | 13 |
| 3 | 26 | 13 |
| 4 | 36 | 13 |
| 5 | 54 | 13 |
| 6 | 91 | 13 |
| 7 | 125 | 13 |
| 8 | 171 | 13 |
| 9 | 207 | 13 |
| 10 | 233 | 13 |
| 11 | 235 | 13 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) |
| Outputs |
|---|
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) |
(-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x)) |
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) |
(-.f64 (/.f64 -1 x) (/.f64 -1 (+.f64 1 x))) |
Compiled 19 to 15 computations (21.1% 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 |
|---|---|---|
| ▶ | 14.8b | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) |
Compiled 10 to 8 computations (20% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1 (+.f64 x 1)) |
| ✓ | 4.1b | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) |
Compiled 23 to 17 computations (26.1% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) |
| 1.0ms | x | @ | 0 | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) |
| 1.0ms | x | @ | -inf | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) |
| 0.0ms | x | @ | inf | (/.f64 1 (+.f64 x 1)) |
| 0.0ms | x | @ | 0 | (/.f64 1 (+.f64 x 1)) |
| 1× | batch-egg-rewrite |
| 957× | pow1_binary64 |
| 896× | log1p-expm1-u_binary64 |
| 896× | expm1-log1p-u_binary64 |
| 895× | add-log-exp_binary64 |
| 89× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 1 | 168 | 20 |
| 2 | 2604 | 20 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) |
(/.f64 1 (+.f64 x 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (/.f64 -1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (+.f64 1 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 +.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 x) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) 2) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (+.f64 1 x)) (/.f64 (/.f64 1 (+.f64 1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (/.f64 (/.f64 1 (+.f64 1 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 x -1/2)) (-.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (+.f64 1 x)) (-.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (/.f64 (/.f64 1 (+.f64 1 x)) x)) (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x)) (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x (+.f64 1 x)) (*.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3)) (+.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (/.f64 (/.f64 1 (+.f64 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 x (+.f64 1 x))) (neg.f64 (*.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3))) (neg.f64 (+.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (/.f64 (/.f64 1 (+.f64 1 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2))) (neg.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 x) (*.f64 (+.f64 -1 (neg.f64 x)) 1)) (*.f64 (+.f64 -1 (neg.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 x) (*.f64 (+.f64 1 x) -1)) (*.f64 (+.f64 1 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 -1 (neg.f64 x)) (*.f64 (+.f64 -1 (neg.f64 x)) -1)) (*.f64 (+.f64 -1 (neg.f64 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (/.f64 -1 x) 3)) (+.f64 (pow.f64 (+.f64 1 x) -2) (-.f64 (*.f64 (/.f64 -1 x) (/.f64 -1 x)) (*.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (*.f64 (/.f64 -1 x) (/.f64 -1 x))) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2) (/.f64 -1 x)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 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 1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 x))))))) |
| 1× | egg-herbie |
| 609× | fma-neg_binary64 |
| 520× | cancel-sign-sub-inv_binary64 |
| 419× | associate-/r*_binary64 |
| 338× | sub-neg_binary64 |
| 332× | fma-def_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 380 |
| 1 | 98 | 372 |
| 2 | 241 | 366 |
| 3 | 731 | 364 |
| 4 | 2517 | 363 |
| 5 | 7643 | 363 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 x) |
(-.f64 1 (/.f64 1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x)) |
(/.f64 -1 (pow.f64 x 2)) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(/.f64 -1 (pow.f64 x 2)) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
| Outputs |
|---|
(/.f64 -1 x) |
(-.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 -1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x)) |
(-.f64 (+.f64 1 (neg.f64 x)) (/.f64 1 x)) |
(+.f64 (-.f64 1 x) (/.f64 -1 x)) |
(+.f64 1 (-.f64 (/.f64 -1 x) x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x)) |
(-.f64 (+.f64 1 (fma.f64 -1 x (*.f64 x x))) (/.f64 1 x)) |
(+.f64 (-.f64 (*.f64 x x) x) (-.f64 1 (/.f64 1 x))) |
(+.f64 1 (fma.f64 x (+.f64 -1 x) (/.f64 -1 x))) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x)) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x))) |
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x)) (/.f64 -1 (pow.f64 x 4))) |
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 (/.f64 -1 x) x))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (*.f64 x x))))) |
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 1 (pow.f64 x 4)))) (/.f64 1 (pow.f64 x 5))) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x)) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x))) |
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x)) (/.f64 -1 (pow.f64 x 4))) |
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 (/.f64 -1 x) x))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (*.f64 x x))))) |
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 1 (pow.f64 x 4)))) (/.f64 1 (pow.f64 x 5))) |
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (neg.f64 x)) |
(-.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) |
(+.f64 1 (fma.f64 -1 x (*.f64 x x))) |
(+.f64 1 (-.f64 (*.f64 x x) x)) |
(-.f64 (fma.f64 x x 1) x) |
(fma.f64 x (+.f64 -1 x) 1) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))) |
(fma.f64 -1 (pow.f64 x 3) (+.f64 1 (fma.f64 -1 x (*.f64 x x)))) |
(-.f64 (+.f64 1 (-.f64 (*.f64 x x) x)) (pow.f64 x 3)) |
(fma.f64 x (+.f64 -1 x) (-.f64 1 (pow.f64 x 3))) |
(fma.f64 x (-.f64 x (fma.f64 x x 1)) 1) |
(*.f64 (fma.f64 x x 1) (-.f64 1 x)) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 (/.f64 -1 x) x)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 (/.f64 -1 x) x))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x)) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 x) (+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 1 (pow.f64 x 4))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 (/.f64 -1 x) x)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 (/.f64 -1 x) x))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x)) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 x) (+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 1 (pow.f64 x 4))))) |
Compiled 1386 to 1081 computations (22% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 89 | 7 | 96 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 89 | 8 | 97 |
| Status | Error | Program |
|---|---|---|
| ✓ | 14.8b | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) |
| ▶ | 30.5b | (-.f64 (-.f64 1 x) (/.f64 1 x)) |
| ▶ | 13.6b | (/.f64 (-.f64 x (+.f64 1 x)) (*.f64 x (+.f64 1 x))) |
| ▶ | 30.7b | (-.f64 1 (/.f64 1 x)) |
| ▶ | 30.4b | (/.f64 -1 x) |
| 13.6b | (/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x) | |
| ▶ | 33.3b | (/.f64 (/.f64 -1 x) x) |
| 33.4b | (/.f64 -1 (pow.f64 x 2)) |
Compiled 118 to 86 computations (27.1% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 x (+.f64 1 x)) (*.f64 x (+.f64 1 x))) |
| ✓ | 0.0b | (*.f64 x (+.f64 1 x)) |
| ✓ | 2.9b | (-.f64 x (+.f64 1 x)) |
Compiled 27 to 17 computations (37% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (*.f64 x (+.f64 1 x)) |
| 1.0ms | x | @ | inf | (*.f64 x (+.f64 1 x)) |
| 0.0ms | x | @ | 0 | (*.f64 x (+.f64 1 x)) |
| 0.0ms | x | @ | 0 | (-.f64 x (+.f64 1 x)) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 x (+.f64 1 x)) (*.f64 x (+.f64 1 x))) |
| 1× | batch-egg-rewrite |
| 467× | log-prod_binary64 |
| 407× | fma-def_binary64 |
| 364× | exp-prod_binary64 |
| 294× | pow-prod-down_binary64 |
| 226× | pow2_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 30 |
| 1 | 167 | 30 |
| 2 | 2749 | 25 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 x (+.f64 1 x)) |
(*.f64 x (+.f64 1 x)) |
(/.f64 (-.f64 x (+.f64 1 x)) (*.f64 x (+.f64 1 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (neg.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (+.f64 (neg.f64 x) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (+.f64 x 1)) (fma.f64 (+.f64 (neg.f64 x) -1) 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (+.f64 x 1)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (+.f64 x 1)) (+.f64 (+.f64 (neg.f64 x) -1) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (neg.f64 x) -1) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1) (*.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)))))) (#(struct:change #<rule 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(pow.f64 (+.f64 x 1) 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 x 1) (+.f64 x (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x 1) 2)) (/.f64 1 (+.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (+.f64 x 1) (+.f64 x (+.f64 x 1)))) (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (+.f64 x 1)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) (fma.f64 x x (*.f64 (+.f64 x 1) (+.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x 1) 2)) (+.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3))) (neg.f64 (fma.f64 x x (*.f64 (+.f64 x 1) (+.f64 x (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x 1) 2))) (neg.f64 (+.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (+.f64 x -1) 2) (fma.f64 x x (*.f64 (+.f64 x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (neg.f64 x) -1) 3)) (fma.f64 x x (-.f64 (pow.f64 (+.f64 (neg.f64 x) -1) 2) (neg.f64 (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x -1) 2) (*.f64 x x)) (+.f64 (+.f64 x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (neg.f64 x) -1) 2)) (-.f64 x (+.f64 (neg.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (-.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (+.f64 x 1)) 2) 1/2)))) (#(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 (fma.f64 x x (*.f64 (+.f64 x 1) (+.f64 x (+.f64 x 1)))) (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (+.f64 x 1)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 x 1) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 x (+.f64 x 1)))) 2)) (cbrt.f64 (log.f64 (-.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 x (+.f64 x 1))))) (sqrt.f64 (log.f64 (-.f64 x (+.f64 x 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 log.f64 (/.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (+.f64 x -1)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (+.f64 (neg.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 (neg.f64 x) -1)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (+.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 (log.f64 (-.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 x (+.f64 x 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 x (+.f64 x 1)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 x (+.f64 x 1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 x (+.f64 x 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 x (+.f64 x 1))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (+.f64 (neg.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 (+.f64 (neg.f64 x) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (+.f64 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x) (hypot.f64 x (sqrt.f64 x))) (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (hypot.f64 x (sqrt.f64 x))) (/.f64 (sqrt.f64 x) (hypot.f64 x (sqrt.f64 x))) (neg.f64 (/.f64 1 x))))))) |
| 1× | egg-herbie |
| 483× | distribute-neg-frac_binary64 |
| 456× | associate-*l*_binary64 |
| 413× | associate-/r*_binary64 |
| 361× | fma-def_binary64 |
| 358× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 288 |
| 1 | 79 | 267 |
| 2 | 174 | 265 |
| 3 | 468 | 265 |
| 4 | 1501 | 265 |
| 5 | 6118 | 265 |
| 1× | node limit |
| Inputs |
|---|
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
x |
(+.f64 (pow.f64 x 2) x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 (pow.f64 x 2) x) |
(pow.f64 x 2) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 (pow.f64 x 2) x) |
(pow.f64 x 2) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 (pow.f64 x 2) x) |
(/.f64 -1 x) |
(-.f64 1 (/.f64 1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x)) |
(/.f64 -1 (pow.f64 x 2)) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(/.f64 -1 (pow.f64 x 2)) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
| Outputs |
|---|
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
x |
(+.f64 (pow.f64 x 2) x) |
(+.f64 x (*.f64 x x)) |
(fma.f64 x x x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 x (*.f64 x x)) |
(fma.f64 x x x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 x (*.f64 x x)) |
(fma.f64 x x x) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 x (*.f64 x x)) |
(fma.f64 x x x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 x (*.f64 x x)) |
(fma.f64 x x x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 x (*.f64 x x)) |
(fma.f64 x x x) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 x (*.f64 x x)) |
(fma.f64 x x x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 x (*.f64 x x)) |
(fma.f64 x x x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 x (*.f64 x x)) |
(fma.f64 x x x) |
(/.f64 -1 x) |
(-.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 -1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x)) |
(-.f64 (+.f64 1 (neg.f64 x)) (/.f64 1 x)) |
(+.f64 (-.f64 1 x) (/.f64 -1 x)) |
(-.f64 (-.f64 1 x) (/.f64 1 x)) |
(+.f64 1 (-.f64 (/.f64 -1 x) x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x)) |
(+.f64 1 (-.f64 (fma.f64 -1 x (*.f64 x x)) (/.f64 1 x))) |
(+.f64 1 (+.f64 (-.f64 (*.f64 x x) x) (/.f64 -1 x))) |
(+.f64 1 (fma.f64 x (+.f64 -1 x) (/.f64 -1 x))) |
(+.f64 (-.f64 (fma.f64 x x 1) x) (/.f64 -1 x)) |
(+.f64 1 (-.f64 (fma.f64 x x (/.f64 -1 x)) x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x)) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(-.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (pow.f64 x 4)) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (*.f64 x x))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 4))))) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x)) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(-.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (pow.f64 x 4)) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (*.f64 x x))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 4))))) |
Compiled 6 to 4 computations (33.3% saved)
Compiled 11 to 8 computations (27.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 (/.f64 -1 x) x) |
Compiled 11 to 7 computations (36.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (/.f64 -1 x) x) |
| 0.0ms | x | @ | inf | (/.f64 (/.f64 -1 x) x) |
| 0.0ms | x | @ | -inf | (/.f64 (/.f64 -1 x) x) |
| 1× | batch-egg-rewrite |
| 521× | pow1_binary64 |
| 500× | add-sqr-sqrt_binary64 |
| 482× | add-log-exp_binary64 |
| 482× | log1p-expm1-u_binary64 |
| 482× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 105 | 7 |
| 2 | 1377 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 -1 x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) 2) (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -1 x)) 2) (*.f64 (cbrt.f64 (/.f64 -1 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 x)) (*.f64 (sqrt.f64 (/.f64 -1 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1 x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 -1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) 1) (/.f64 (sqrt.f64 (/.f64 -1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 -1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 -1 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 -1 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 -1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -1) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (/.f64 1 x) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1 (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 1140× | associate-/r*_binary64 |
| 1082× | sqr-pow_binary64 |
| 560× | cube-prod_binary64 |
| 554× | fabs-mul_binary64 |
| 523× | pow-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 84 |
| 1 | 11 | 84 |
| 2 | 20 | 84 |
| 3 | 35 | 84 |
| 4 | 75 | 84 |
| 5 | 224 | 84 |
| 6 | 834 | 84 |
| 7 | 2043 | 84 |
| 8 | 2209 | 84 |
| 9 | 2393 | 84 |
| 10 | 2601 | 84 |
| 11 | 2898 | 84 |
| 12 | 3291 | 84 |
| 13 | 3772 | 84 |
| 14 | 4340 | 84 |
| 15 | 5028 | 84 |
| 16 | 5863 | 84 |
| 17 | 6255 | 84 |
| 18 | 6543 | 84 |
| 19 | 6819 | 84 |
| 20 | 6891 | 84 |
| 21 | 6927 | 84 |
| 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)) |
| 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)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (-.f64 1 x) (/.f64 1 x)) |
Compiled 16 to 11 computations (31.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (-.f64 (-.f64 1 x) (/.f64 1 x)) |
| 0.0ms | x | @ | -inf | (-.f64 (-.f64 1 x) (/.f64 1 x)) |
| 0.0ms | x | @ | inf | (-.f64 (-.f64 1 x) (/.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 837× | pow1_binary64 |
| 786× | add-log-exp_binary64 |
| 786× | log1p-expm1-u_binary64 |
| 786× | expm1-log1p-u_binary64 |
| 771× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 10 |
| 1 | 141 | 10 |
| 2 | 2089 | 10 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (-.f64 1 x) (/.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (neg.f64 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (neg.f64 x) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 x) (*.f64 (/.f64 -1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x)) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x)) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 x) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (-.f64 1 x) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x))) 2) (cbrt.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x))) (sqrt.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x -3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 (pow.f64 x -2) (/.f64 (-.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 x -2)) (/.f64 1 (+.f64 (-.f64 1 x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 (pow.f64 x -2) (/.f64 (-.f64 1 x) x))) (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (-.f64 1 x) (/.f64 1 x)) (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x -3)) (+.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 (pow.f64 x -2) (/.f64 (-.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 x -2)) (+.f64 (-.f64 1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x -3))) (neg.f64 (+.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 (pow.f64 x -2) (/.f64 (-.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 x -2))) (neg.f64 (+.f64 (-.f64 1 x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) x) (*.f64 (+.f64 1 (fma.f64 x x x)) 1)) (*.f64 (+.f64 1 (fma.f64 x x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (-.f64 1 (*.f64 x x)) x) (*.f64 (+.f64 1 x) 1)) (fma.f64 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (neg.f64 x)) (*.f64 (+.f64 1 (fma.f64 x x x)) -1)) (*.f64 (+.f64 1 (fma.f64 x x x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (-.f64 1 (*.f64 x x)) (neg.f64 x)) (*.f64 (+.f64 1 x) -1)) (*.f64 (+.f64 1 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1 x)) 3)) (+.f64 1 (+.f64 (*.f64 (+.f64 x (/.f64 1 x)) (+.f64 x (/.f64 1 x))) (+.f64 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (/.f64 -1 x) 3)) (+.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 (*.f64 (/.f64 -1 x) (/.f64 -1 x)) (*.f64 (-.f64 1 x) (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 x (/.f64 1 x)) (+.f64 x (/.f64 1 x)))) (+.f64 1 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (/.f64 -1 x) (/.f64 -1 x))) (-.f64 (-.f64 1 x) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.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)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (/.f64 -1 x)))))) |
| 1× | egg-herbie |
| 101× | fma-neg_binary64 |
| 42× | sub-neg_binary64 |
| 41× | cancel-sign-sub-inv_binary64 |
| 40× | fma-def_binary64 |
| 21× | associate--r+_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 101 |
| 1 | 20 | 85 |
| 2 | 34 | 85 |
| 3 | 68 | 85 |
| 4 | 146 | 85 |
| 5 | 228 | 85 |
| 6 | 358 | 85 |
| 7 | 448 | 85 |
| 8 | 495 | 85 |
| 9 | 502 | 85 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 -1 x) |
(-.f64 1 (/.f64 1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x)) |
(*.f64 -1 x) |
(+.f64 1 (*.f64 -1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x)) |
(*.f64 -1 x) |
(+.f64 1 (*.f64 -1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x)) |
| Outputs |
|---|
(/.f64 -1 x) |
(-.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 -1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x)) |
(-.f64 (+.f64 1 (neg.f64 x)) (/.f64 1 x)) |
(+.f64 (-.f64 1 x) (/.f64 -1 x)) |
(+.f64 1 (-.f64 (/.f64 -1 x) x)) |
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x)) |
(-.f64 (+.f64 1 (neg.f64 x)) (/.f64 1 x)) |
(+.f64 (-.f64 1 x) (/.f64 -1 x)) |
(+.f64 1 (-.f64 (/.f64 -1 x) x)) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (neg.f64 x)) |
(-.f64 1 x) |
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x)) |
(-.f64 (+.f64 1 (neg.f64 x)) (/.f64 1 x)) |
(+.f64 (-.f64 1 x) (/.f64 -1 x)) |
(+.f64 1 (-.f64 (/.f64 -1 x) x)) |
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x)) |
(-.f64 (+.f64 1 (neg.f64 x)) (/.f64 1 x)) |
(+.f64 (-.f64 1 x) (/.f64 -1 x)) |
(+.f64 1 (-.f64 (/.f64 -1 x) x)) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (neg.f64 x)) |
(-.f64 1 x) |
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x)) |
(-.f64 (+.f64 1 (neg.f64 x)) (/.f64 1 x)) |
(+.f64 (-.f64 1 x) (/.f64 -1 x)) |
(+.f64 1 (-.f64 (/.f64 -1 x) x)) |
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x)) |
(-.f64 (+.f64 1 (neg.f64 x)) (/.f64 1 x)) |
(+.f64 (-.f64 1 x) (/.f64 -1 x)) |
(+.f64 1 (-.f64 (/.f64 -1 x) x)) |
Compiled 5922 to 3895 computations (34.2% saved)
14 alts after pruning (8 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 355 | 7 | 362 |
| Fresh | 1 | 1 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 356 | 14 | 370 |
| Status | Error | Program |
|---|---|---|
| ✓ | 14.8b | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) |
| ✓ | 30.5b | (-.f64 (-.f64 1 x) (/.f64 1 x)) |
| ✓ | 13.6b | (/.f64 (-.f64 x (+.f64 1 x)) (*.f64 x (+.f64 1 x))) |
| ✓ | 30.7b | (-.f64 1 (/.f64 1 x)) |
| 48.0b | (*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 -1 x) (sqrt.f64 x))) | |
| ▶ | 49.4b | (*.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) 1) (/.f64 (sqrt.f64 (/.f64 -1 x)) x)) |
| ▶ | 13.6b | (/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x) |
| ✓ | 33.3b | (/.f64 (/.f64 -1 x) x) |
| ▶ | 0.2b | (/.f64 -1 (*.f64 x (+.f64 1 x))) |
| ▶ | 61.8b | (neg.f64 x) |
| ✓ | 30.4b | (/.f64 -1 x) |
| ▶ | 33.6b | (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1 (pow.f64 (cbrt.f64 x) 2))) |
| 33.4b | (/.f64 -1 (*.f64 x x)) | |
| 33.6b | (*.f64 (pow.f64 (cbrt.f64 (/.f64 -1 x)) 2) (*.f64 (cbrt.f64 (/.f64 -1 x)) (/.f64 1 x))) |
Compiled 226 to 168 computations (25.7% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 x (+.f64 1 x)) | |
| ✓ | 0.2b | (/.f64 -1 (*.f64 x (+.f64 1 x))) |
Compiled 19 to 13 computations (31.6% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 -1 (*.f64 x (+.f64 1 x))) |
| 0.0ms | x | @ | inf | (/.f64 -1 (*.f64 x (+.f64 1 x))) |
| 0.0ms | x | @ | -inf | (/.f64 -1 (*.f64 x (+.f64 1 x))) |
| 1× | batch-egg-rewrite |
| 740× | pow1_binary64 |
| 688× | add-log-exp_binary64 |
| 687× | log1p-expm1-u_binary64 |
| 687× | expm1-log1p-u_binary64 |
| 676× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 148 | 10 |
| 2 | 1897 | 10 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 (*.f64 x (+.f64 1 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1 (+.f64 x (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (+.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))) (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))) 2) (cbrt.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -1) (hypot.f64 (sqrt.f64 x) x)) (/.f64 (sqrt.f64 -1) (hypot.f64 (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1 x) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1 x) (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -1) (hypot.f64 (sqrt.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (neg.f64 (+.f64 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1) (/.f64 -1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (+.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 (+.f64 x (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 -1 x)) (log1p.f64 x))))))) |
| 1× | egg-herbie |
| 501× | distribute-neg-frac_binary64 |
| 450× | associate-*l*_binary64 |
| 417× | associate-/r*_binary64 |
| 366× | distribute-rgt-neg-in_binary64 |
| 347× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 204 |
| 1 | 77 | 201 |
| 2 | 168 | 199 |
| 3 | 456 | 199 |
| 4 | 1472 | 199 |
| 5 | 5996 | 199 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 x) |
(-.f64 1 (/.f64 1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x)) |
(/.f64 -1 (pow.f64 x 2)) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(/.f64 -1 (pow.f64 x 2)) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
| Outputs |
|---|
(/.f64 -1 x) |
(-.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 -1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x)) |
(-.f64 (+.f64 1 (neg.f64 x)) (/.f64 1 x)) |
(+.f64 (-.f64 1 x) (/.f64 -1 x)) |
(-.f64 (-.f64 1 x) (/.f64 1 x)) |
(+.f64 1 (-.f64 (/.f64 -1 x) x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x)) |
(-.f64 (+.f64 1 (fma.f64 -1 x (*.f64 x x))) (/.f64 1 x)) |
(+.f64 (-.f64 (*.f64 x x) x) (-.f64 1 (/.f64 1 x))) |
(+.f64 1 (fma.f64 x (+.f64 -1 x) (/.f64 -1 x))) |
(+.f64 1 (-.f64 (fma.f64 x x (/.f64 -1 x)) x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (*.f64 x x))))) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (*.f64 x x))))) |
Compiled 4 to 2 computations (50% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) |
| ✓ | 0.0b | (/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x) |
| 2.9b | (-.f64 x (+.f64 1 x)) |
Compiled 31 to 20 computations (35.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) |
| 0.0ms | x | @ | inf | (/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x) |
| 1× | batch-egg-rewrite |
| 623× | prod-diff_binary64 |
| 459× | log-prod_binary64 |
| 327× | fma-def_binary64 |
| 304× | pow-prod-down_binary64 |
| 232× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 29 |
| 1 | 169 | 23 |
| 2 | 2832 | 23 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x) |
(/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x))) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x))) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x))) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x))) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x))) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (fma.f64 x x x)) (/.f64 (+.f64 x 1) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 x -1) (fma.f64 x x x)) (/.f64 x (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 x (+.f64 x 1)) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (+.f64 x 1)) (/.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x))) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x)))) 2) (*.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x)))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x))) x)) (cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x)))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x)))) -2)) (cbrt.f64 (/.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x)))) (*.f64 (sqrt.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x)))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x))) x)) (sqrt.f64 (/.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x)))) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) 2) x) (/.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) x) (/.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (+.f64 x 1)) 1) (/.f64 (/.f64 1 (+.f64 x 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x)))) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x)))) 1) (/.f64 (sqrt.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (+.f64 x 1)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x)))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x)))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x)))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (/.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (/.f64 1 (+.f64 x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x)))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x)))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x))) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x)))) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 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exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x))) x)) 1)))))) |
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(cbrt.f64 x) 2) (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (-.f64 1 x) -1))))) |
| 1× | egg-herbie |
| 661× | fma-neg_binary64 |
| 628× | associate-*l*_binary64 |
| 504× | cancel-sign-sub-inv_binary64 |
| 458× | associate-/r*_binary64 |
| 337× | sub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 377 |
| 1 | 114 | 372 |
| 2 | 265 | 363 |
| 3 | 748 | 363 |
| 4 | 2491 | 363 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 x) |
(-.f64 1 (/.f64 1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x)) |
(/.f64 -1 (pow.f64 x 2)) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(/.f64 -1 (pow.f64 x 2)) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
-1 |
(-.f64 x 1) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) x) 1) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) 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 (/.f64 1 (pow.f64 x 4)) (/.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 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
| Outputs |
|---|
(/.f64 -1 x) |
(-.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 -1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x)) |
(-.f64 (+.f64 1 (neg.f64 x)) (/.f64 1 x)) |
(+.f64 (-.f64 1 x) (/.f64 -1 x)) |
(+.f64 1 (-.f64 (/.f64 -1 x) x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x)) |
(-.f64 (+.f64 1 (fma.f64 -1 x (*.f64 x x))) (/.f64 1 x)) |
(+.f64 (-.f64 (*.f64 x x) x) (-.f64 1 (/.f64 1 x))) |
(+.f64 1 (fma.f64 x (+.f64 -1 x) (/.f64 -1 x))) |
(+.f64 (-.f64 (fma.f64 x x 1) x) (/.f64 -1 x)) |
(+.f64 (-.f64 1 x) (fma.f64 x x (/.f64 -1 x))) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (*.f64 x x)))) |
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 5))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 4))))) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (*.f64 x x)))) |
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 5))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 4))))) |
-1 |
(-.f64 x 1) |
(+.f64 x -1) |
(+.f64 -1 x) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) x) 1) |
(+.f64 (fma.f64 -1 (*.f64 x x) x) -1) |
(+.f64 -1 (-.f64 x (*.f64 x x))) |
(-.f64 x (fma.f64 x x 1)) |
(fma.f64 x (-.f64 1 x) -1) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x)) 1) |
(+.f64 (fma.f64 -1 (*.f64 x x) (+.f64 x (pow.f64 x 3))) -1) |
(+.f64 -1 (+.f64 x (*.f64 (*.f64 x x) (+.f64 -1 x)))) |
(*.f64 (fma.f64 x x 1) (+.f64 -1 x)) |
(*.f64 (+.f64 -1 x) (fma.f64 x x 1)) |
(/.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 (*.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 (/.f64 1 (*.f64 x x)) (/.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 (/.f64 1 (pow.f64 x 4)) (/.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 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))) |
(/.f64 -1 x) |
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) |
(-.f64 (/.f64 1 (*.f64 x x)) (/.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 (/.f64 1 (*.f64 x x)) (/.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 (/.f64 1 (pow.f64 x 4)) (/.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 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) 1) (/.f64 (sqrt.f64 (/.f64 -1 x)) x)) |
| ✓ | 0.1b | (sqrt.f64 (/.f64 -1 x)) |
| ✓ | 0.1b | (/.f64 (sqrt.f64 (/.f64 -1 x)) x) |
Compiled 36 to 27 computations (25% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (/.f64 (sqrt.f64 (/.f64 -1 x)) x) |
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) 1) (/.f64 (sqrt.f64 (/.f64 -1 x)) x)) |
| 1.0ms | x | @ | inf | (sqrt.f64 (/.f64 -1 x)) |
| 1.0ms | x | @ | inf | (/.f64 (sqrt.f64 (/.f64 -1 x)) x) |
| 1.0ms | x | @ | -inf | (/.f64 (sqrt.f64 (/.f64 -1 x)) x) |
| 1× | batch-egg-rewrite |
| 801× | pow1_binary64 |
| 746× | add-log-exp_binary64 |
| 745× | log1p-expm1-u_binary64 |
| 745× | expm1-log1p-u_binary64 |
| 730× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 22 |
| 1 | 189 | 22 |
| 2 | 2132 | 22 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sqrt.f64 (/.f64 -1 x)) x) |
(sqrt.f64 (/.f64 -1 x)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) 1) (/.f64 (sqrt.f64 (/.f64 -1 x)) x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sqrt.f64 (/.f64 -1 x)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 x)) (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 (/.f64 -1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) x)) (cbrt.f64 (/.f64 (/.f64 -1 x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) (*.f64 x x))) (cbrt.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 x)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 -1 x))) (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 x) 1/4) (/.f64 (pow.f64 (/.f64 -1 x) 1/4) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 x) 1/4) (*.f64 (pow.f64 (/.f64 -1 x) 1/4) (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (*.f64 x x))) (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) x)) (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 -1 x))) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1) (sqrt.f64 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) (cbrt.f64 (*.f64 x x))) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (/.f64 -1 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (sqrt.f64 (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1 (cbrt.f64 x)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 -1 x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1 (cbrt.f64 x)) 1) (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 -1 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 -1 x) 1/4) (cbrt.f64 (*.f64 x x))) (/.f64 (pow.f64 (/.f64 -1 x) 1/4) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 (/.f64 -1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 (/.f64 -1 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (/.f64 -1 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 -1 x) 3/2) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (/.f64 -1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 -1 x))) (/.f64 -1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 x) 1/4) (pow.f64 (/.f64 -1 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -1) (sqrt.f64 (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -1) (pow.f64 (pow.f64 x -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -1) (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 -1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)) (sqrt.f64 (/.f64 -1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) 1/2) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (pow.f64 (/.f64 -1 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (/.f64 -1 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (*.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 x) (sqrt.f64 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (cbrt.f64 x)) (/.f64 1 (cbrt.f64 (sqrt.f64 (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 -1 x) 1/4) (/.f64 1 (pow.f64 (/.f64 -1 x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -1) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (/.f64 -1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 -1)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 -1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 -1) 1) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 -1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 x) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 -1 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 x (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 -1 x)) (/.f64 x (sqrt.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 -1 x)) (*.f64 (pow.f64 (/.f64 -1 x) -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) x) (pow.f64 (/.f64 -1 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (pow.f64 (/.f64 -1 x) -1/2) (/.f64 x (sqrt.f64 (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 x (sqrt.f64 (/.f64 -1 x))) (pow.f64 (/.f64 -1 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 x (*.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (*.f64 x x))) 2) (/.f64 1 (cbrt.f64 (/.f64 -1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (/.f64 x (/.f64 -1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -1) (*.f64 (/.f64 x (sqrt.f64 (/.f64 -1 x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 -1 (*.f64 x x))) (/.f64 1 (sqrt.f64 (/.f64 -1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (/.f64 -1 x))) (*.f64 -1 (/.f64 x (sqrt.f64 (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (/.f64 -1 x))) (*.f64 (pow.f64 (/.f64 -1 x) -1/2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (/.f64 -1 x))) (*.f64 (neg.f64 x) (pow.f64 (/.f64 -1 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (/.f64 -1 x))) (*.f64 (/.f64 x (sqrt.f64 (/.f64 -1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 -1 x))) (neg.f64 (sqrt.f64 (/.f64 -1 x)))) (*.f64 -1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 -1 x))) (neg.f64 (sqrt.f64 (/.f64 -1 x)))) (*.f64 (neg.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 -1 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 -1 (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 -1 x))) (sqrt.f64 (/.f64 -1 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 -1 x))) (sqrt.f64 (/.f64 -1 x))) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 -1 x)) (neg.f64 (sqrt.f64 (/.f64 -1 x)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 -1 x)) (neg.f64 (sqrt.f64 (/.f64 -1 x)))) (*.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 -1 x))) (*.f64 (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 -1) 1) (*.f64 (sqrt.f64 x) (/.f64 x (sqrt.f64 (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 (/.f64 -1 x)))) (*.f64 (sqrt.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 -1 x)) (sqrt.f64 -1)) (*.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 -1 x))) (sqrt.f64 -1)) (*.f64 (neg.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 -1 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 -1 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 -1 x))) (/.f64 (sqrt.f64 (/.f64 -1 x)) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 (/.f64 -1 x)) x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) x) (neg.f64 (sqrt.f64 (/.f64 -1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) x) (sqrt.f64 -1)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1 (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -1 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 -1 x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 x) 3/2) (pow.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) x) 3) (pow.f64 (/.f64 -1 x) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1 (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 1399× | associate-/l/_binary64 |
| 1233× | associate-*l/_binary64 |
| 887× | associate-/r/_binary64 |
| 408× | unswap-sqr_binary64 |
| 321× | sqr-pow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 144 |
| 1 | 17 | 84 |
| 2 | 32 | 84 |
| 3 | 68 | 84 |
| 4 | 240 | 84 |
| 5 | 1790 | 84 |
| 6 | 2745 | 84 |
| 7 | 2927 | 84 |
| 8 | 3137 | 84 |
| 9 | 3364 | 84 |
| 10 | 3670 | 84 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
| Outputs |
|---|
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 x x)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 x x)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 x x)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 x x)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 x x)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 x x)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 x x)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 x x)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 x x)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 x x)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 x x)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 x x)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.5b | (pow.f64 (cbrt.f64 x) 2) |
| ✓ | 0.5b | (pow.f64 (cbrt.f64 (/.f64 -1 x)) 2) |
| ✓ | 0.5b | (cbrt.f64 (/.f64 -1 x)) |
| ✓ | 0.6b | (cbrt.f64 x) |
Compiled 58 to 41 computations (29.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 x) 2) |
| 2.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 (/.f64 -1 x)) 2) |
| 1.0ms | x | @ | inf | (pow.f64 (cbrt.f64 (/.f64 -1 x)) 2) |
| 1.0ms | x | @ | -inf | (cbrt.f64 x) |
| 1.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 (/.f64 -1 x)) 2) |
| 1× | batch-egg-rewrite |
| 685× | pow1_binary64 |
| 633× | add-log-exp_binary64 |
| 633× | log1p-expm1-u_binary64 |
| 633× | expm1-log1p-u_binary64 |
| 616× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 24 |
| 1 | 182 | 24 |
| 2 | 1898 | 24 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 x) |
(cbrt.f64 (/.f64 -1 x)) |
(pow.f64 (cbrt.f64 (/.f64 -1 x)) 2) |
(pow.f64 (cbrt.f64 x) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1 (cbrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (cbrt.f64 x))) 2) (/.f64 -1 (cbrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (cbrt.f64 x))) (pow.f64 (/.f64 -1 (cbrt.f64 (cbrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 x) 1/6) (pow.f64 (/.f64 -1 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 4))) (sqrt.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (cbrt.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 -1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 -1 1/3) (pow.f64 (/.f64 1 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 -1 x)) 1/3) (pow.f64 (sqrt.f64 (/.f64 -1 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (*.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (pow.f64 x 1/6)) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (cbrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 -1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1 (cbrt.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (/.f64 1 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 x)) (/.f64 -1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (cbrt.f64 x))) 2) (cbrt.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (cbrt.f64 x))) 2) (*.f64 (/.f64 -1 (cbrt.f64 (cbrt.f64 x))) (/.f64 -1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 4)) (pow.f64 (/.f64 -1 (cbrt.f64 (cbrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 x)) (pow.f64 (/.f64 -1 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 x) 1/6) (*.f64 (pow.f64 (/.f64 -1 x) 1/6) (/.f64 -1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 (cbrt.f64 x)) (pow.f64 (/.f64 -1 (cbrt.f64 (cbrt.f64 x))) 2)) (/.f64 -1 (cbrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 -1 (cbrt.f64 x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1 (cbrt.f64 x)) -1) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 x)))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Compiled 10687 to 6967 computations (34.8% saved)
16 alts after pruning (11 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 636 | 10 | 646 |
| Fresh | 2 | 1 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 5 | 5 | 10 |
| Total | 644 | 16 | 660 |
| Status | Error | Program |
|---|---|---|
| 33.8b | (*.f64 (/.f64 (pow.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (cbrt.f64 x))) 3) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1 (pow.f64 (cbrt.f64 x) 2))) | |
| ✓ | 30.7b | (-.f64 1 (/.f64 1 x)) |
| ▶ | 33.5b | (/.f64 (/.f64 (/.f64 -1 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)) |
| ▶ | 0.2b | (/.f64 -1 (+.f64 (*.f64 x x) x)) |
| 48.0b | (/.f64 (/.f64 (/.f64 -1 x) (sqrt.f64 x)) (sqrt.f64 x)) | |
| 49.4b | (*.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) 1) (/.f64 (/.f64 1 (sqrt.f64 (neg.f64 x))) x)) | |
| ▶ | 37.7b | (/.f64 -1 (/.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (-.f64 x (*.f64 x x)))) |
| ▶ | 0.1b | (/.f64 (/.f64 -1 (+.f64 1 x)) x) |
| ✓ | 33.3b | (/.f64 (/.f64 -1 x) x) |
| ✓ | 0.2b | (/.f64 -1 (*.f64 x (+.f64 1 x))) |
| ✓ | 61.8b | (neg.f64 x) |
| 33.6b | (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1 (cbrt.f64 (*.f64 x x)))) | |
| ✓ | 30.4b | (/.f64 -1 x) |
| 5.3b | (*.f64 (/.f64 (/.f64 -1 x) (-.f64 1 (*.f64 x x))) (-.f64 1 x)) | |
| ▶ | 33.4b | (/.f64 -1 (*.f64 x x)) |
| 30.7b | (/.f64 (-.f64 x 1) x) |
Compiled 299 to 212 computations (29.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 -1 (+.f64 1 x)) |
| ✓ | 0.1b | (/.f64 (/.f64 -1 (+.f64 1 x)) x) |
Compiled 19 to 14 computations (26.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 -1 (+.f64 1 x)) x) |
| 0.0ms | x | @ | inf | (/.f64 (/.f64 -1 (+.f64 1 x)) x) |
| 0.0ms | x | @ | -inf | (/.f64 (/.f64 -1 (+.f64 1 x)) x) |
| 0.0ms | x | @ | 0 | (/.f64 -1 (+.f64 1 x)) |
| 0.0ms | x | @ | inf | (/.f64 -1 (+.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 817× | pow1_binary64 |
| 762× | add-log-exp_binary64 |
| 761× | log1p-expm1-u_binary64 |
| 761× | expm1-log1p-u_binary64 |
| 747× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 151 | 17 |
| 2 | 2099 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 -1 (+.f64 1 x)) x) |
(/.f64 -1 (+.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1 (+.f64 x (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 1 (+.f64 1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (+.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 1 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) 2) (*.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (*.f64 x x)))) (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (*.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (*.f64 x x)))) 2) (/.f64 -1 (cbrt.f64 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (+.f64 1 x))) (*.f64 (sqrt.f64 (/.f64 -1 (+.f64 1 x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) 2) 1) (/.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1 (+.f64 1 x))) 1) (/.f64 (sqrt.f64 (/.f64 -1 (+.f64 1 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 (+.f64 1 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 -1 (+.f64 1 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1 (cbrt.f64 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1 (+.f64 1 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 -1 (+.f64 1 x))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 x)) (/.f64 (/.f64 1 (+.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 -1 (+.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) 2) (sqrt.f64 x)) (/.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 (+.f64 1 x) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -1 (+.f64 1 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 -1 (+.f64 1 x)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (neg.f64 (log1p.f64 x)) (log.f64 (neg.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1 (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) 2) (/.f64 -1 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (+.f64 1 x))) (sqrt.f64 (/.f64 -1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (+.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1 (+.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1 (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 1 x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 -1) (log1p.f64 x))))))) |
| 1× | egg-herbie |
| 661× | fma-neg_binary64 |
| 628× | associate-*l*_binary64 |
| 504× | cancel-sign-sub-inv_binary64 |
| 458× | associate-/r*_binary64 |
| 337× | sub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 377 |
| 1 | 114 | 372 |
| 2 | 265 | 363 |
| 3 | 748 | 363 |
| 4 | 2491 | 363 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 x) |
(-.f64 1 (/.f64 1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x)) |
(/.f64 -1 (pow.f64 x 2)) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(/.f64 -1 (pow.f64 x 2)) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
-1 |
(-.f64 x 1) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) x) 1) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) 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 (/.f64 1 (pow.f64 x 4)) (/.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 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
| Outputs |
|---|
(/.f64 -1 x) |
(-.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 -1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x)) |
(-.f64 (+.f64 1 (neg.f64 x)) (/.f64 1 x)) |
(+.f64 (-.f64 1 x) (/.f64 -1 x)) |
(+.f64 1 (-.f64 (/.f64 -1 x) x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x)) |
(-.f64 (+.f64 1 (fma.f64 -1 x (*.f64 x x))) (/.f64 1 x)) |
(+.f64 (-.f64 (*.f64 x x) x) (-.f64 1 (/.f64 1 x))) |
(+.f64 1 (fma.f64 x (+.f64 -1 x) (/.f64 -1 x))) |
(+.f64 (-.f64 (fma.f64 x x 1) x) (/.f64 -1 x)) |
(+.f64 (-.f64 1 x) (fma.f64 x x (/.f64 -1 x))) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (*.f64 x x)))) |
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 5))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 4))))) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (*.f64 x x)))) |
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 5))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 4))))) |
-1 |
(-.f64 x 1) |
(+.f64 x -1) |
(+.f64 -1 x) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) x) 1) |
(+.f64 (fma.f64 -1 (*.f64 x x) x) -1) |
(+.f64 -1 (-.f64 x (*.f64 x x))) |
(-.f64 x (fma.f64 x x 1)) |
(fma.f64 x (-.f64 1 x) -1) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x)) 1) |
(+.f64 (fma.f64 -1 (*.f64 x x) (+.f64 x (pow.f64 x 3))) -1) |
(+.f64 -1 (+.f64 x (*.f64 (*.f64 x x) (+.f64 -1 x)))) |
(*.f64 (fma.f64 x x 1) (+.f64 -1 x)) |
(*.f64 (+.f64 -1 x) (fma.f64 x x 1)) |
(/.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 (*.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 (/.f64 1 (*.f64 x x)) (/.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 (/.f64 1 (pow.f64 x 4)) (/.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 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))) |
(/.f64 -1 x) |
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) |
(-.f64 (/.f64 1 (*.f64 x x)) (/.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 (/.f64 1 (*.f64 x x)) (/.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 (/.f64 1 (pow.f64 x 4)) (/.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 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 -1 (*.f64 x x)) |
Compiled 11 to 5 computations (54.5% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 -1 (*.f64 x x)) |
| 0.0ms | x | @ | inf | (/.f64 -1 (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (/.f64 -1 (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 458× | pow1_binary64 |
| 443× | add-sqr-sqrt_binary64 |
| 435× | *-un-lft-identity_binary64 |
| 424× | add-log-exp_binary64 |
| 424× | log1p-expm1-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 102 | 6 |
| 2 | 1216 | 6 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (neg.f64 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (cbrt.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -1) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (neg.f64 (pow.f64 x -2)))))))) |
| 1× | egg-herbie |
| 1140× | associate-/r*_binary64 |
| 1082× | sqr-pow_binary64 |
| 560× | cube-prod_binary64 |
| 554× | fabs-mul_binary64 |
| 523× | pow-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 84 |
| 1 | 11 | 84 |
| 2 | 20 | 84 |
| 3 | 35 | 84 |
| 4 | 75 | 84 |
| 5 | 224 | 84 |
| 6 | 834 | 84 |
| 7 | 2043 | 84 |
| 8 | 2209 | 84 |
| 9 | 2393 | 84 |
| 10 | 2601 | 84 |
| 11 | 2898 | 84 |
| 12 | 3291 | 84 |
| 13 | 3772 | 84 |
| 14 | 4340 | 84 |
| 15 | 5028 | 84 |
| 16 | 5863 | 84 |
| 17 | 6255 | 84 |
| 18 | 6543 | 84 |
| 19 | 6819 | 84 |
| 20 | 6891 | 84 |
| 21 | 6927 | 84 |
| 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)) |
| 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)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 x x) x) |
| ✓ | 0.2b | (/.f64 -1 (+.f64 (*.f64 x x) x)) |
Compiled 18 to 6 computations (66.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 -1 (+.f64 (*.f64 x x) x)) |
| 0.0ms | x | @ | inf | (/.f64 -1 (+.f64 (*.f64 x x) x)) |
| 0.0ms | x | @ | -inf | (/.f64 -1 (+.f64 (*.f64 x x) x)) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 x x) x) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 x x) x) |
| 1× | batch-egg-rewrite |
| 695× | pow1_binary64 |
| 650× | add-log-exp_binary64 |
| 649× | log1p-expm1-u_binary64 |
| 649× | expm1-log1p-u_binary64 |
| 636× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 1 | 133 | 13 |
| 2 | 1860 | 13 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 (+.f64 (*.f64 x x) x)) |
(+.f64 (*.f64 x x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1 (fma.f64 x x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (fma.f64 x x x))) (pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 x x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 x x x))) 2) (/.f64 -1 (cbrt.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (fma.f64 x x x))) (sqrt.f64 (/.f64 -1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 (pow.f64 x 3) (pow.f64 x 6))) (-.f64 (+.f64 (pow.f64 x 4) (*.f64 x x)) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 (pow.f64 x 4) (*.f64 x x))) (-.f64 (*.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (fma.f64 x x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 x x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1 (fma.f64 x x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (fma.f64 x x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x x x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 x x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (fma.f64 x x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1 (fma.f64 x x x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 4) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x x)) (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2) (cbrt.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x (sqrt.f64 x)) (hypot.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 x 4) (*.f64 x x)) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 1) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 1) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 x 4) (*.f64 x x)) (pow.f64 x 3)) (+.f64 (pow.f64 x 3) (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 x x) x) (-.f64 (pow.f64 x 4) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (-.f64 (+.f64 (pow.f64 x 4) (*.f64 x x)) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 x 4) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (*.f64 x x)) (-.f64 (*.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6))) (neg.f64 (-.f64 (+.f64 (pow.f64 x 4) (*.f64 x x)) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 4) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (-.f64 x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x x)))))) |
| 1× | egg-herbie |
| 490× | distribute-neg-frac_binary64 |
| 462× | associate-*l*_binary64 |
| 417× | associate-/r*_binary64 |
| 363× | associate-*r*_binary64 |
| 360× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 276 |
| 1 | 79 | 255 |
| 2 | 174 | 253 |
| 3 | 468 | 253 |
| 4 | 1509 | 253 |
| 5 | 6146 | 253 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 x) |
(-.f64 1 (/.f64 1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x)) |
(/.f64 -1 (pow.f64 x 2)) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(/.f64 -1 (pow.f64 x 2)) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
x |
(+.f64 (pow.f64 x 2) x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 (pow.f64 x 2) x) |
(pow.f64 x 2) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 (pow.f64 x 2) x) |
(pow.f64 x 2) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 (pow.f64 x 2) x) |
| Outputs |
|---|
(/.f64 -1 x) |
(-.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 -1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x)) |
(-.f64 (+.f64 1 (neg.f64 x)) (/.f64 1 x)) |
(+.f64 (-.f64 1 x) (/.f64 -1 x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x)) |
(+.f64 1 (-.f64 (fma.f64 -1 x (*.f64 x x)) (/.f64 1 x))) |
(+.f64 (-.f64 (*.f64 x x) x) (-.f64 1 (/.f64 1 x))) |
(+.f64 1 (fma.f64 x (+.f64 -1 x) (/.f64 -1 x))) |
(-.f64 (/.f64 -1 x) (-.f64 x (fma.f64 x x 1))) |
(+.f64 1 (-.f64 (fma.f64 x x (/.f64 -1 x)) x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 5))))) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 5))))) |
x |
(+.f64 (pow.f64 x 2) x) |
(+.f64 x (*.f64 x x)) |
(fma.f64 x x x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 x (*.f64 x x)) |
(fma.f64 x x x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 x (*.f64 x x)) |
(fma.f64 x x x) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 x (*.f64 x x)) |
(fma.f64 x x x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 x (*.f64 x x)) |
(fma.f64 x x x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 x (*.f64 x x)) |
(fma.f64 x x x) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 x (*.f64 x x)) |
(fma.f64 x x x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 x (*.f64 x x)) |
(fma.f64 x x x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 x (*.f64 x x)) |
(fma.f64 x x x) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (*.f64 x x)) |
| ✓ | 0.2b | (/.f64 -1 (/.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (-.f64 x (*.f64 x x)))) |
| ✓ | 14.0b | (-.f64 (*.f64 x x) (pow.f64 x 4)) |
| ✓ | 33.7b | (/.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (-.f64 x (*.f64 x x))) |
Compiled 50 to 20 computations (60% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (-.f64 x (*.f64 x x))) |
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (-.f64 x (*.f64 x x))) |
| 1.0ms | x | @ | inf | (/.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (-.f64 x (*.f64 x x))) |
| 0.0ms | x | @ | inf | (-.f64 (*.f64 x x) (pow.f64 x 4)) |
| 0.0ms | x | @ | -inf | (-.f64 (*.f64 x x) (pow.f64 x 4)) |
| 1× | batch-egg-rewrite |
| 573× | log-prod_binary64 |
| 559× | fma-def_binary64 |
| 296× | pow2_binary64 |
| 276× | fma-neg_binary64 |
| 202× | pow1/3_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 58 |
| 1 | 245 | 34 |
| 2 | 3618 | 30 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (-.f64 x (*.f64 x x))) |
(-.f64 (*.f64 x x) (pow.f64 x 4)) |
(/.f64 -1 (/.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (-.f64 x (*.f64 x x)))) |
(-.f64 x (*.f64 x x)) |
| Outputs |
|---|
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x) x)) 2) (fma.f64 (*.f64 x (neg.f64 x)) 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) x)) (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) x)) 2) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) x)) 2) (cbrt.f64 (fma.f64 x (neg.f64 x) x)) (fma.f64 (neg.f64 x) x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) x)) 2) (cbrt.f64 (fma.f64 x (neg.f64 x) x)) (fma.f64 (*.f64 x (neg.f64 x)) 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) x)) 2) (cbrt.f64 (fma.f64 x (neg.f64 x) x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) x)) (sqrt.f64 (fma.f64 x (neg.f64 x) x)) (fma.f64 (neg.f64 x) x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) x)) (sqrt.f64 (fma.f64 x (neg.f64 x) x)) (fma.f64 (*.f64 x (neg.f64 x)) 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) x)) (sqrt.f64 (fma.f64 x (neg.f64 x) x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 6)) (/.f64 1 (+.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3))) (fma.f64 (neg.f64 x) x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 6)) (/.f64 1 (+.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3))) (fma.f64 (*.f64 x (neg.f64 x)) 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 6)) (/.f64 1 (+.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) 2) (cbrt.f64 (*.f64 x (neg.f64 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (sqrt.f64 (*.f64 x (neg.f64 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (*.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) x) (-.f64 (sqrt.f64 x) x) (fma.f64 (neg.f64 x) x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) x) (-.f64 (sqrt.f64 x) x) (fma.f64 (*.f64 x (neg.f64 x)) 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) x) (-.f64 (sqrt.f64 x) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1 x 1) x (fma.f64 (neg.f64 x) x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1 x 1) x (fma.f64 (*.f64 x (neg.f64 x)) 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1 x 1) x (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) 1) x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 x)) (sqrt.f64 x) x))))) |
| 1× | egg-herbie |
| 532× | fma-def_binary64 |
| 444× | difference-of-squares_binary64 |
| 418× | associate-/r*_binary64 |
| 370× | fma-neg_binary64 |
| 342× | cancel-sign-sub-inv_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 476 |
| 1 | 91 | 437 |
| 2 | 198 | 435 |
| 3 | 538 | 435 |
| 4 | 1978 | 435 |
| 5 | 6777 | 435 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (pow.f64 x 2) x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 (pow.f64 x 2) x) |
(pow.f64 x 2) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 (pow.f64 x 2) x) |
(pow.f64 x 2) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 (pow.f64 x 2) x) |
(pow.f64 x 2) |
(+.f64 (*.f64 -1 (pow.f64 x 4)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 x 4)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 x 4)) (pow.f64 x 2)) |
(*.f64 -1 (pow.f64 x 4)) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 x 4))) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 x 4))) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 x 4))) |
(*.f64 -1 (pow.f64 x 4)) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 x 4))) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 x 4))) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 x 4))) |
(/.f64 -1 x) |
(-.f64 1 (/.f64 1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x)) |
(/.f64 -1 (pow.f64 x 2)) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(/.f64 -1 (pow.f64 x 2)) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
x |
(+.f64 (*.f64 -1 (pow.f64 x 2)) x) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) x) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) x) |
(*.f64 -1 (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) x) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) x) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) x) |
(*.f64 -1 (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) x) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) x) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) x) |
| Outputs |
|---|
x |
(+.f64 (pow.f64 x 2) x) |
(+.f64 x (*.f64 x x)) |
(fma.f64 x x x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 x (*.f64 x x)) |
(fma.f64 x x x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 x (*.f64 x x)) |
(fma.f64 x x x) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 x (*.f64 x x)) |
(fma.f64 x x x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 x (*.f64 x x)) |
(fma.f64 x x x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 x (*.f64 x x)) |
(fma.f64 x x x) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 x (*.f64 x x)) |
(fma.f64 x x x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 x (*.f64 x x)) |
(fma.f64 x x x) |
(+.f64 (pow.f64 x 2) x) |
(+.f64 x (*.f64 x x)) |
(fma.f64 x x x) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 -1 (pow.f64 x 4)) (pow.f64 x 2)) |
(fma.f64 -1 (pow.f64 x 4) (*.f64 x x)) |
(-.f64 (*.f64 x x) (pow.f64 x 4)) |
(+.f64 (*.f64 -1 (pow.f64 x 4)) (pow.f64 x 2)) |
(fma.f64 -1 (pow.f64 x 4) (*.f64 x x)) |
(-.f64 (*.f64 x x) (pow.f64 x 4)) |
(+.f64 (*.f64 -1 (pow.f64 x 4)) (pow.f64 x 2)) |
(fma.f64 -1 (pow.f64 x 4) (*.f64 x x)) |
(-.f64 (*.f64 x x) (pow.f64 x 4)) |
(*.f64 -1 (pow.f64 x 4)) |
(neg.f64 (pow.f64 x 4)) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 x 4))) |
(fma.f64 -1 (pow.f64 x 4) (*.f64 x x)) |
(-.f64 (*.f64 x x) (pow.f64 x 4)) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 x 4))) |
(fma.f64 -1 (pow.f64 x 4) (*.f64 x x)) |
(-.f64 (*.f64 x x) (pow.f64 x 4)) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 x 4))) |
(fma.f64 -1 (pow.f64 x 4) (*.f64 x x)) |
(-.f64 (*.f64 x x) (pow.f64 x 4)) |
(*.f64 -1 (pow.f64 x 4)) |
(neg.f64 (pow.f64 x 4)) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 x 4))) |
(fma.f64 -1 (pow.f64 x 4) (*.f64 x x)) |
(-.f64 (*.f64 x x) (pow.f64 x 4)) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 x 4))) |
(fma.f64 -1 (pow.f64 x 4) (*.f64 x x)) |
(-.f64 (*.f64 x x) (pow.f64 x 4)) |
(+.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 x 4))) |
(fma.f64 -1 (pow.f64 x 4) (*.f64 x x)) |
(-.f64 (*.f64 x x) (pow.f64 x 4)) |
(/.f64 -1 x) |
(-.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 -1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x)) |
(+.f64 1 (-.f64 (neg.f64 x) (/.f64 1 x))) |
(+.f64 (-.f64 1 x) (/.f64 -1 x)) |
(+.f64 1 (-.f64 (/.f64 -1 x) x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x)) |
(-.f64 (+.f64 1 (fma.f64 -1 x (*.f64 x x))) (/.f64 1 x)) |
(+.f64 (+.f64 1 (-.f64 (*.f64 x x) x)) (/.f64 -1 x)) |
(+.f64 (-.f64 1 x) (fma.f64 x x (/.f64 -1 x))) |
(+.f64 1 (-.f64 (fma.f64 x x (/.f64 -1 x)) x)) |
(+.f64 1 (fma.f64 x (+.f64 x -1) (/.f64 -1 x))) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 -1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 5))))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 5))))) |
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 4)))) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 -1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 5))))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 5))))) |
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 4)))) |
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)) x) |
(fma.f64 -1 (*.f64 x x) x) |
(-.f64 x (*.f64 x x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) x) |
(fma.f64 -1 (*.f64 x x) x) |
(-.f64 x (*.f64 x x)) |
(*.f64 -1 (pow.f64 x 2)) |
(neg.f64 (*.f64 x x)) |
(*.f64 x (neg.f64 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)) x) |
(fma.f64 -1 (*.f64 x x) x) |
(-.f64 x (*.f64 x x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) x) |
(fma.f64 -1 (*.f64 x x) x) |
(-.f64 x (*.f64 x x)) |
(*.f64 -1 (pow.f64 x 2)) |
(neg.f64 (*.f64 x x)) |
(*.f64 x (neg.f64 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)) x) |
(fma.f64 -1 (*.f64 x x) x) |
(-.f64 x (*.f64 x x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) x) |
(fma.f64 -1 (*.f64 x x) x) |
(-.f64 x (*.f64 x x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 (/.f64 (/.f64 -1 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)) |
| ✓ | 0.2b | (/.f64 (/.f64 -1 x) (cbrt.f64 (*.f64 x x))) |
| 0.6b | (cbrt.f64 x) | |
| ✓ | 29.0b | (cbrt.f64 (*.f64 x x)) |
Compiled 34 to 14 computations (58.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | x | @ | inf | (/.f64 (/.f64 -1 x) (cbrt.f64 (*.f64 x x))) |
| 2.0ms | x | @ | -inf | (/.f64 (/.f64 (/.f64 -1 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)) |
| 1.0ms | x | @ | 0 | (/.f64 (/.f64 -1 x) (cbrt.f64 (*.f64 x x))) |
| 0.0ms | x | @ | -inf | (/.f64 (/.f64 -1 x) (cbrt.f64 (*.f64 x x))) |
| 0.0ms | x | @ | 0 | (cbrt.f64 (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 981× | pow1_binary64 |
| 915× | add-log-exp_binary64 |
| 915× | log1p-expm1-u_binary64 |
| 915× | expm1-log1p-u_binary64 |
| 93× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 35 |
| 1 | 192 | 25 |
| 2 | 2652 | 25 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) (cbrt.f64 (*.f64 x x))) |
(/.f64 (/.f64 (/.f64 -1 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1 (*.f64 x (pow.f64 (cbrt.f64 x) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 x (pow.f64 (cbrt.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (*.f64 x (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 x)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (*.f64 (/.f64 -1 (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)))) (cbrt.f64 (/.f64 (/.f64 1 (*.f64 x x)) (*.f64 x (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 x x)) (*.f64 x (cbrt.f64 x)))) (/.f64 -1 (cbrt.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 x)) (*.f64 (sqrt.f64 (/.f64 -1 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (/.f64 -1 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (/.f64 -1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (cbrt.f64 x)) (cbrt.f64 (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) 1) (/.f64 (/.f64 -1 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) 1) (/.f64 (sqrt.f64 (/.f64 -1 x)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (/.f64 (/.f64 -1 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (/.f64 -1 (cbrt.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (/.f64 (sqrt.f64 (/.f64 -1 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (*.f64 x (pow.f64 (cbrt.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (*.f64 x (pow.f64 (cbrt.f64 x) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) (cbrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (/.f64 1 (*.f64 x x)) (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (*.f64 x (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (*.f64 x (pow.f64 (cbrt.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (*.f64 x (pow.f64 (cbrt.f64 x) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 -1 x) 3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (*.f64 x (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (*.f64 x (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1 (*.f64 x (pow.f64 (cbrt.f64 x) 2))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1 (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 -1 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (*.f64 x x))) 2) (cbrt.f64 (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 x)) (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 x x)) (*.f64 x (cbrt.f64 x)))) (*.f64 (/.f64 -1 (cbrt.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)))) (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (*.f64 x x))) (sqrt.f64 (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (/.f64 -1 x)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) (cbrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) (cbrt.f64 x)) (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (neg.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 -1 (*.f64 x (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (cbrt.f64 x)) (/.f64 (/.f64 -1 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1 x) 1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 x x)) (*.f64 x (cbrt.f64 x)))) 1) (/.f64 (/.f64 -1 (cbrt.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) (cbrt.f64 x)) 1) (/.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (/.f64 (/.f64 -1 (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 x x)) (*.f64 x (cbrt.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (/.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1 x) (pow.f64 x 1/6)) (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 x 1/6)) (/.f64 (/.f64 -1 (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 (*.f64 x x)) (*.f64 x (cbrt.f64 x)))) (pow.f64 x 1/6)) (/.f64 (/.f64 -1 (cbrt.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)))) (pow.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1 (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (/.f64 -1 (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -1 (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (neg.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -1 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 -1 (*.f64 x (pow.f64 (cbrt.f64 x) 2))) 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1 (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 759× | sqr-pow_binary64 |
| 560× | cube-prod_binary64 |
| 556× | fabs-mul_binary64 |
| 523× | pow-sqr_binary64 |
| 453× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 104 |
| 1 | 19 | 104 |
| 2 | 34 | 104 |
| 3 | 70 | 104 |
| 4 | 179 | 104 |
| 5 | 584 | 104 |
| 6 | 2209 | 104 |
| 7 | 3085 | 104 |
| 8 | 3249 | 104 |
| 9 | 3433 | 104 |
| 10 | 3641 | 104 |
| 11 | 3944 | 104 |
| 12 | 4337 | 104 |
| 13 | 4820 | 104 |
| 14 | 5386 | 104 |
| 15 | 6076 | 104 |
| 16 | 6913 | 104 |
| 17 | 7303 | 104 |
| 18 | 7591 | 104 |
| 19 | 7869 | 104 |
| 20 | 7943 | 104 |
| 21 | 7977 | 104 |
| 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 (*.f64 (cbrt.f64 -1) (pow.f64 x 2))) |
(/.f64 1 (*.f64 (cbrt.f64 -1) (pow.f64 x 2))) |
(/.f64 1 (*.f64 (cbrt.f64 -1) (pow.f64 x 2))) |
(/.f64 1 (*.f64 (cbrt.f64 -1) (pow.f64 x 2))) |
| 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 (*.f64 (cbrt.f64 -1) (pow.f64 x 2))) |
(/.f64 1 (*.f64 (*.f64 x x) (cbrt.f64 -1))) |
(/.f64 (/.f64 1 (*.f64 x x)) (cbrt.f64 -1)) |
(/.f64 1 (*.f64 (cbrt.f64 -1) (pow.f64 x 2))) |
(/.f64 1 (*.f64 (*.f64 x x) (cbrt.f64 -1))) |
(/.f64 (/.f64 1 (*.f64 x x)) (cbrt.f64 -1)) |
(/.f64 1 (*.f64 (cbrt.f64 -1) (pow.f64 x 2))) |
(/.f64 1 (*.f64 (*.f64 x x) (cbrt.f64 -1))) |
(/.f64 (/.f64 1 (*.f64 x x)) (cbrt.f64 -1)) |
(/.f64 1 (*.f64 (cbrt.f64 -1) (pow.f64 x 2))) |
(/.f64 1 (*.f64 (*.f64 x x) (cbrt.f64 -1))) |
(/.f64 (/.f64 1 (*.f64 x x)) (cbrt.f64 -1)) |
Compiled 11360 to 6134 computations (46% saved)
11 alts after pruning (3 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 681 | 2 | 683 |
| Fresh | 5 | 1 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 8 | 9 |
| Total | 688 | 11 | 699 |
| Status | Error | Program |
|---|---|---|
| 33.3b | (neg.f64 (pow.f64 x -2)) | |
| 5.3b | (*.f64 (/.f64 (/.f64 -1 x) (-.f64 1 (*.f64 x x))) (-.f64 1 x)) | |
| ✓ | 33.3b | (/.f64 (/.f64 -1 x) x) |
| ✓ | 0.2b | (/.f64 -1 (*.f64 x (+.f64 1 x))) |
| ✓ | 61.8b | (neg.f64 x) |
| ✓ | 30.4b | (/.f64 -1 x) |
| ✓ | 30.7b | (-.f64 1 (/.f64 1 x)) |
| ✓ | 0.2b | (/.f64 -1 (+.f64 (*.f64 x x) x)) |
| ✓ | 33.4b | (/.f64 -1 (*.f64 x x)) |
| ✓ | 0.1b | (/.f64 (/.f64 -1 (+.f64 1 x)) x) |
| 30.7b | (/.f64 (-.f64 x 1) x) |
Compiled 74 to 53 computations (28.4% saved)
| Inputs |
|---|
(neg.f64 x) |
(/.f64 -1 x) |
(/.f64 (-.f64 x 1) x) |
(/.f64 (-.f64 x 1) x) |
(/.f64 -1 (*.f64 x x)) |
(-.f64 1 (/.f64 1 x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (+.f64 (*.f64 x x) x)) |
(/.f64 (/.f64 -1 (+.f64 1 x)) x) |
(/.f64 -1 (*.f64 x (+.f64 1 x))) |
(-.f64 (-.f64 1 x) (/.f64 1 x)) |
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) |
(/.f64 (-.f64 x (+.f64 1 x)) (*.f64 x (+.f64 1 x))) |
(/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x) |
(*.f64 (/.f64 (/.f64 -1 x) (-.f64 1 (*.f64 x x))) (-.f64 1 x)) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (/.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (-.f64 x (*.f64 x x)))) |
(/.f64 (/.f64 (/.f64 -1 x) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (/.f64 -1 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 -1 x) (sqrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) 1) (/.f64 (sqrt.f64 (/.f64 -1 x)) x)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) 1) (/.f64 (/.f64 1 (sqrt.f64 (neg.f64 x))) x)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1 x)) 2) (*.f64 (cbrt.f64 (/.f64 -1 x)) (/.f64 1 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1 (cbrt.f64 (*.f64 x x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (cbrt.f64 x))) 3) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1 (pow.f64 (cbrt.f64 x) 2))) |
| Outputs |
|---|
(/.f64 (/.f64 -1 (+.f64 1 x)) x) |
2 calls:
| 44.0ms | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) |
| 14.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) |
Compiled 269 to 178 computations (33.8% saved)
| Inputs |
|---|
(neg.f64 x) |
(/.f64 -1 x) |
(/.f64 (-.f64 x 1) x) |
(/.f64 (-.f64 x 1) x) |
(/.f64 -1 (*.f64 x x)) |
(-.f64 1 (/.f64 1 x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (+.f64 (*.f64 x x) x)) |
| Outputs |
|---|
(/.f64 -1 (+.f64 (*.f64 x x) x)) |
1 calls:
| 6.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 1 | x |
Compiled 40 to 24 computations (40% saved)
| Inputs |
|---|
(neg.f64 x) |
(/.f64 -1 x) |
(/.f64 (-.f64 x 1) x) |
(/.f64 (-.f64 x 1) x) |
(/.f64 -1 (*.f64 x x)) |
(-.f64 1 (/.f64 1 x)) |
(/.f64 (/.f64 -1 x) x) |
| Outputs |
|---|
(/.f64 (/.f64 -1 x) x) |
(-.f64 1 (/.f64 1 x)) |
(/.f64 (/.f64 -1 x) x) |
1 calls:
| 42.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.6b | 3 | x |
Compiled 33 to 21 computations (36.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 0.005767931019882457 | 3.3431062698664924 |
| 17.0ms | -19066116700.543564 | -0.027510634467837854 |
Compiled 14 to 11 computations (21.4% saved)
| Inputs |
|---|
(neg.f64 x) |
(/.f64 -1 x) |
(/.f64 (-.f64 x 1) x) |
(/.f64 (-.f64 x 1) x) |
(/.f64 -1 (*.f64 x x)) |
(-.f64 1 (/.f64 1 x)) |
| Outputs |
|---|
(/.f64 -1 (*.f64 x x)) |
(-.f64 1 (/.f64 1 x)) |
(/.f64 -1 (*.f64 x x)) |
1 calls:
| 23.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.7b | 3 | x |
Compiled 28 to 18 computations (35.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 0.005767931019882457 | 3.3431062698664924 |
| 18.0ms | -19066116700.543564 | -0.027510634467837854 |
Compiled 14 to 11 computations (21.4% saved)
| Inputs |
|---|
(neg.f64 x) |
(/.f64 -1 x) |
(/.f64 (-.f64 x 1) x) |
(/.f64 (-.f64 x 1) x) |
(/.f64 -1 (*.f64 x x)) |
| Outputs |
|---|
(/.f64 -1 (*.f64 x x)) |
(/.f64 (-.f64 x 1) x) |
(/.f64 -1 (*.f64 x x)) |
1 calls:
| 43.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.7b | 3 | x |
Compiled 23 to 14 computations (39.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 0.005767931019882457 | 3.3431062698664924 |
| 17.0ms | -19066116700.543564 | -0.027510634467837854 |
Compiled 14 to 11 computations (21.4% saved)
Total -31.6b remaining (-104.1%)
Threshold costs -31.6b (-104.1%)
| Inputs |
|---|
(neg.f64 x) |
(/.f64 -1 x) |
(/.f64 (-.f64 x 1) x) |
(/.f64 (-.f64 x 1) x) |
| Outputs |
|---|
(/.f64 -1 x) |
1 calls:
| 4.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 30.4b | 1 | x |
Compiled 18 to 11 computations (38.9% saved)
| 1× | egg-herbie |
| 7× | +-commutative_binary64 |
| 5× | sub-neg_binary64 |
| 3× | *-commutative_binary64 |
| 3× | neg-sub0_binary64 |
| 3× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 126 |
| 1 | 39 | 126 |
| 2 | 46 | 126 |
| 3 | 51 | 126 |
| 4 | 54 | 126 |
| 5 | 56 | 126 |
| 6 | 57 | 126 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (/.f64 -1 (+.f64 1 x)) x) |
(/.f64 -1 (+.f64 (*.f64 x x) x)) |
(if (<=.f64 x -1249517024086823/65536) (/.f64 (/.f64 -1 x) x) (if (<=.f64 x 106399547358582208/18446744073709551616) (-.f64 1 (/.f64 1 x)) (/.f64 (/.f64 -1 x) x))) |
(if (<=.f64 x -1249517024086823/65536) (/.f64 -1 (*.f64 x x)) (if (<=.f64 x 106399547358582208/18446744073709551616) (-.f64 1 (/.f64 1 x)) (/.f64 -1 (*.f64 x x)))) |
(if (<=.f64 x -1249517024086823/65536) (/.f64 -1 (*.f64 x x)) (if (<=.f64 x 106399547358582208/18446744073709551616) (/.f64 (-.f64 x 1) x) (/.f64 -1 (*.f64 x x)))) |
(/.f64 -1 x) |
(neg.f64 x) |
| Outputs |
|---|
(/.f64 (/.f64 -1 (+.f64 1 x)) x) |
(/.f64 -1 (+.f64 (*.f64 x x) x)) |
(/.f64 -1 (+.f64 x (*.f64 x x))) |
(if (<=.f64 x -1249517024086823/65536) (/.f64 (/.f64 -1 x) x) (if (<=.f64 x 106399547358582208/18446744073709551616) (-.f64 1 (/.f64 1 x)) (/.f64 (/.f64 -1 x) x))) |
(if (<=.f64 x -1249517024086823/65536) (/.f64 (/.f64 -1 x) x) (if (<=.f64 x 1662492927477847/288230376151711744) (-.f64 1 (/.f64 1 x)) (/.f64 (/.f64 -1 x) x))) |
(if (<=.f64 x -1249517024086823/65536) (/.f64 (/.f64 -1 x) x) (if (<=.f64 x 1662492927477847/288230376151711744) (+.f64 1 (/.f64 -1 x)) (/.f64 (/.f64 -1 x) x))) |
(if (<=.f64 x -1249517024086823/65536) (/.f64 -1 (*.f64 x x)) (if (<=.f64 x 106399547358582208/18446744073709551616) (-.f64 1 (/.f64 1 x)) (/.f64 -1 (*.f64 x x)))) |
(if (<=.f64 x -1249517024086823/65536) (/.f64 -1 (*.f64 x x)) (if (<=.f64 x 1662492927477847/288230376151711744) (-.f64 1 (/.f64 1 x)) (/.f64 -1 (*.f64 x x)))) |
(if (<=.f64 x -1249517024086823/65536) (/.f64 -1 (*.f64 x x)) (if (<=.f64 x 1662492927477847/288230376151711744) (+.f64 1 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x)))) |
(if (<=.f64 x -1249517024086823/65536) (/.f64 -1 (*.f64 x x)) (if (<=.f64 x 106399547358582208/18446744073709551616) (/.f64 (-.f64 x 1) x) (/.f64 -1 (*.f64 x x)))) |
(if (<=.f64 x -1249517024086823/65536) (/.f64 -1 (*.f64 x x)) (if (<=.f64 x 1662492927477847/288230376151711744) (/.f64 (+.f64 x -1) x) (/.f64 -1 (*.f64 x x)))) |
(if (<=.f64 x -1249517024086823/65536) (/.f64 -1 (*.f64 x x)) (if (<=.f64 x 1662492927477847/288230376151711744) (/.f64 (+.f64 -1 x) x) (/.f64 -1 (*.f64 x x)))) |
(/.f64 -1 x) |
(neg.f64 x) |
Compiled 95 to 64 computations (32.6% saved)
Compiled 89 to 56 computations (37.1% saved)
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