Time bar (total: 1.3s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 50% | 50% | 2 |
| 0% | 50% | 50% | 3 |
| 12.5% | 25% | 62.5% | 4 |
| 18.7% | 12.5% | 68.8% | 5 |
| 21.9% | 6.2% | 71.9% | 6 |
| 23.4% | 3.1% | 73.5% | 7 |
| 24.2% | 1.6% | 74.2% | 8 |
| 24.6% | 0.8% | 74.6% | 9 |
| 24.8% | 0.4% | 74.8% | 10 |
| 24.9% | 0.2% | 74.9% | 11 |
| 24.9% | 0.1% | 75% | 12 |
| 25% | 0% | 75% | 13 |
| 25% | 0% | 75% | 14 |
Compiled 9 to 7 computations (22.2% saved)
| 874.0ms | 8256× | body | 128 | valid |
| 0.0ms | 3× | body | 128 | invalid |
Compiled 18 to 14 computations (22.2% saved)
| 2× | egg-herbie |
| 1× | 1-exp_binary64 |
| 1× | rules-20_binary64 |
| 1× | rules-21_binary64 |
| 1× | rules-52_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 11 |
| 1 | 12 | 11 |
| 2 | 13 | 11 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) |
Compiled 8 to 6 computations (25% saved)
| 1× | egg-herbie |
| 1× | 1-exp_binary64 |
| 1× | rules-20_binary64 |
| 1× | rules-21_binary64 |
| 1× | rules-52_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 11 |
| 1 | 12 | 11 |
| 2 | 13 | 11 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x)) |
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 |
|---|---|---|
| ▶ | 0.5b | (*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x)) |
Compiled 31 to 22 computations (29% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.5b | (*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | (*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x)) |
| 2.0ms | x | @ | 0 | (*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x)) |
| 1.0ms | x | @ | inf | (*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x)) |
| 1× | batch-egg-rewrite |
| 659× | rules-40_binary64 |
| 659× | rules-41_binary64 |
| 659× | rules-42_binary64 |
| 659× | rules-43_binary64 |
| 614× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 9 |
| 1 | 162 | 9 |
| 2 | 1994 | 9 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) (*.f64 (sqrt.f64 x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) (*.f64 (sqrt.f64 (+.f64 x -1)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 x (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) (*.f64 (sqrt.f64 x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) (*.f64 (sqrt.f64 (+.f64 x -1)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 0 (sqrt.f64 (*.f64 x (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 1 (sqrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 3) (+.f64 (*.f64 x (+.f64 x -1)) (+.f64 0 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 3) (+.f64 (*.f64 x (+.f64 x -1)) (-.f64 0 (*.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 x -1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1) 3/2) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x -1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) (cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))) (sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))))))))) |
| 1× | egg-herbie |
| 234× | rules-4_binary64 |
| 218× | rules-21_binary64 |
| 217× | rules-6-rev_binary64 |
| 204× | rules-12-rev_binary64 |
| 186× | rules-5-rev_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 34 |
| 1 | 50 | 34 |
| 2 | 164 | 34 |
| 3 | 690 | 32 |
| 4 | 4724 | 31 |
| 1× | node limit |
| Inputs |
|---|
x |
(-.f64 x 1/2) |
(-.f64 x (+.f64 1/2 (*.f64 1/8 (/.f64 1 x)))) |
(-.f64 x (+.f64 1/2 (+.f64 (*.f64 1/8 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))))) |
| Outputs |
|---|
x |
(-.f64 x 1/2) |
(+.f64 x -1/2) |
(-.f64 x (+.f64 1/2 (*.f64 1/8 (/.f64 1 x)))) |
(-.f64 x (+.f64 1/2 (/.f64 1/8 x))) |
(-.f64 (+.f64 x -1/2) (/.f64 1/8 x)) |
(-.f64 x (+.f64 1/2 (+.f64 (*.f64 1/8 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))))) |
(-.f64 x (+.f64 1/2 (+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x))))) |
(-.f64 (-.f64 x 1/2) (+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))) |
(-.f64 x (/.f64 (+.f64 (fma.f64 x 1/2 1/8) (/.f64 1/16 x)) x)) |
(-.f64 x (+.f64 1/2 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x))) |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 39 | 2 | 41 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 40 | 2 | 42 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.2b | (-.f64 x (+.f64 1/2 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x))) |
| 30.8b | (sqrt.f64 (*.f64 x (+.f64 x -1))) |
Compiled 441 to 329 computations (25.4% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x) |
| 1.0ms | x | @ | -inf | (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x) |
| 1.0ms | x | @ | inf | (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x) |
| 1× | batch-egg-rewrite |
| 770× | rules-40_binary64 |
| 770× | rules-41_binary64 |
| 770× | rules-42_binary64 |
| 770× | rules-43_binary64 |
| 74× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 173 | 10 |
| 2 | 2177 | 10 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 1/8 (/.f64 1/16 x)) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 0 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/8 (/.f64 1/16 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1/8 (/.f64 1/16 x))) 2) (/.f64 (cbrt.f64 (+.f64 1/8 (/.f64 1/16 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)) 2) (cbrt.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/16 x))) (/.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/16 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)) (sqrt.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1/8 (/.f64 1/16 x)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)) 2) (cbrt.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)) (sqrt.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x))))))) |
| 1× | egg-herbie |
| 466× | rules-20_binary64 |
| 452× | rules-23-rev_binary64 |
| 362× | fma-def_binary64 |
| 304× | rules-14-rev_binary64 |
| 271× | rules-13_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 132 |
| 1 | 33 | 132 |
| 2 | 90 | 132 |
| 3 | 286 | 132 |
| 4 | 1701 | 105 |
| 5 | 4284 | 105 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1/16 (pow.f64 x 2)) |
(+.f64 (*.f64 1/8 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 1/8 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 1/8 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))) |
(/.f64 1/8 x) |
(+.f64 (*.f64 1/8 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 1/8 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 1/8 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))) |
(/.f64 1/8 x) |
(+.f64 (*.f64 1/8 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 1/8 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (*.f64 1/8 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))) |
| Outputs |
|---|
(/.f64 1/16 (pow.f64 x 2)) |
(/.f64 1/16 (*.f64 x x)) |
(+.f64 (*.f64 1/8 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x))) |
(/.f64 (-.f64 (/.f64 1/16 x) -1/8) x) |
(+.f64 (*.f64 1/8 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x))) |
(/.f64 (-.f64 (/.f64 1/16 x) -1/8) x) |
(+.f64 (*.f64 1/8 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x))) |
(/.f64 (-.f64 (/.f64 1/16 x) -1/8) x) |
(/.f64 1/8 x) |
(+.f64 (*.f64 1/8 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x))) |
(/.f64 (-.f64 (/.f64 1/16 x) -1/8) x) |
(+.f64 (*.f64 1/8 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x))) |
(/.f64 (-.f64 (/.f64 1/16 x) -1/8) x) |
(+.f64 (*.f64 1/8 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x))) |
(/.f64 (-.f64 (/.f64 1/16 x) -1/8) x) |
(/.f64 1/8 x) |
(+.f64 (*.f64 1/8 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x))) |
(/.f64 (-.f64 (/.f64 1/16 x) -1/8) x) |
(+.f64 (*.f64 1/8 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x))) |
(/.f64 (-.f64 (/.f64 1/16 x) -1/8) x) |
(+.f64 (*.f64 1/8 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x))) |
(/.f64 (-.f64 (/.f64 1/16 x) -1/8) x) |
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 34 | 0 | 34 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 34 | 2 | 36 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.2b | (-.f64 x (+.f64 1/2 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x))) |
| ▶ | 30.8b | (sqrt.f64 (*.f64 x (+.f64 x -1))) |
Compiled 534 to 415 computations (22.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 28.7b | (sqrt.f64 (*.f64 x (+.f64 x -1))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (sqrt.f64 (*.f64 x (+.f64 x -1))) |
| 1.0ms | x | @ | -inf | (sqrt.f64 (*.f64 x (+.f64 x -1))) |
| 1.0ms | x | @ | inf | (sqrt.f64 (*.f64 x (+.f64 x -1))) |
| 1× | batch-egg-rewrite |
| 632× | rules-40_binary64 |
| 632× | rules-41_binary64 |
| 632× | rules-42_binary64 |
| 632× | rules-43_binary64 |
| 590× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 145 | 9 |
| 2 | 1827 | 9 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 x (+.f64 x -1))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 0 (sqrt.f64 (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))) (cbrt.f64 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 x x) x) 1/4) (pow.f64 (-.f64 (*.f64 x x) x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 (*.f64 x x) x) 3/2) (+.f64 (-.f64 (*.f64 x x) x) (+.f64 0 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 (*.f64 x x) x) 3/2) (+.f64 (-.f64 (*.f64 x x) x) (-.f64 0 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 x x) x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 x x) x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 x x) x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (*.f64 x x) x)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (*.f64 x x) x)) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (-.f64 (*.f64 x x) x) 1/4) (pow.f64 (-.f64 (*.f64 x x) x) 1/4) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x x) x)) 1/2)))))) |
| 1× | egg-herbie |
| 275× | rules-4_binary64 |
| 267× | rules-6-rev_binary64 |
| 237× | rules-12-rev_binary64 |
| 206× | rules-6_binary64 |
| 202× | rules-11_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 71 |
| 1 | 58 | 70 |
| 2 | 192 | 70 |
| 3 | 846 | 66 |
| 1× | node limit |
| Inputs |
|---|
x |
(-.f64 x 1/2) |
(-.f64 x (+.f64 1/2 (*.f64 1/8 (/.f64 1 x)))) |
(-.f64 x (+.f64 1/2 (+.f64 (*.f64 1/8 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))))) |
(*.f64 -1 x) |
(-.f64 1/2 x) |
(-.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))) x) |
(-.f64 (+.f64 1/2 (+.f64 (*.f64 1/8 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 2))))) x) |
| Outputs |
|---|
x |
(-.f64 x 1/2) |
(-.f64 x (+.f64 1/2 (*.f64 1/8 (/.f64 1 x)))) |
(-.f64 x (+.f64 1/2 (/.f64 1/8 x))) |
(-.f64 (-.f64 x 1/2) (/.f64 1/8 x)) |
(-.f64 x (+.f64 1/2 (+.f64 (*.f64 1/8 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))))) |
(-.f64 x (+.f64 1/2 (+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x))))) |
(/.f64 (-.f64 (fma.f64 (-.f64 x 1/2) x -1/8) (/.f64 1/16 x)) x) |
(*.f64 -1 x) |
(*.f64 x -1) |
(neg.f64 x) |
(-.f64 1/2 x) |
(-.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))) x) |
(-.f64 (/.f64 1/8 x) (-.f64 x 1/2)) |
(-.f64 1/2 (-.f64 x (/.f64 1/8 x))) |
(+.f64 1/2 (-.f64 (/.f64 1/8 x) x)) |
(-.f64 (+.f64 1/2 (+.f64 (*.f64 1/8 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 2))))) x) |
(-.f64 (+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x))) (-.f64 x 1/2)) |
(-.f64 (/.f64 1/8 x) (-.f64 (-.f64 x 1/2) (/.f64 1/16 (*.f64 x x)))) |
(+.f64 (/.f64 1/8 x) (-.f64 (/.f64 1/16 (*.f64 x x)) (-.f64 x 1/2))) |
(/.f64 (-.f64 (/.f64 1/16 x) (fma.f64 (-.f64 x 1/2) x -1/8)) x) |
2 alts after pruning (0 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 48 | 0 | 48 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 48 | 2 | 50 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.2b | (-.f64 x (+.f64 1/2 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x))) |
| ✓ | 30.8b | (sqrt.f64 (*.f64 x (+.f64 x -1))) |
Compiled 497 to 211 computations (57.5% saved)
Total 0.3b remaining (99.5%)
Threshold costs 0.3b (99.5%)
Compiled 652 to 476 computations (27% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 16 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 x (+.f64 1/2 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x))) |
| Outputs |
|---|
(-.f64 x (+.f64 1/2 (/.f64 (+.f64 1/8 (/.f64 1/16 x)) x))) |
| 1× | done |
Compiled 43 to 32 computations (25.6% saved)
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