Time bar (total: 1.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 53.3% | 50% | 43.7% | 0.1% | 6.2% | 0% | 0% | 7 |
| 63.3% | 59.3% | 34.3% | 0.1% | 6.2% | 0% | 0% | 8 |
| 74.1% | 67.1% | 23.4% | 0.1% | 9.4% | 0% | 0% | 9 |
| 80.2% | 72.6% | 18% | 0.1% | 9.4% | 0% | 0% | 10 |
| 86.4% | 76.9% | 12.1% | 0.1% | 10.9% | 0% | 0% | 11 |
| 89.7% | 79.8% | 9.2% | 0.1% | 10.9% | 0% | 0% | 12 |
Compiled 8 to 6 computations (25% saved)
| 642.0ms | 8256× | body | 256 | valid |
| 12.0ms | 162× | body | 256 | infinite |
| 2× | egg-herbie |
| 32× | fma-def |
| 14× | *-commutative |
| 12× | +-commutative |
| 10× | associate-*r* |
| 10× | associate-*l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 26 |
| 1 | 26 | 18 |
| 2 | 41 | 18 |
| 3 | 64 | 18 |
| 4 | 68 | 18 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(*.f64 x (+.f64 y 1)) |
(*.f64 y (+.f64 x 1)) |
| Outputs |
|---|
(*.f64 x (+.f64 y 1)) |
(fma.f64 x y x) |
(*.f64 y (+.f64 x 1)) |
(fma.f64 x y y) |
Compiled 9 to 7 computations (22.2% saved)
| 1× | egg-herbie |
| 16× | *-commutative |
| 16× | associate-*r* |
| 16× | fma-def |
| 16× | associate-*l* |
| 6× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 18 | 9 |
| 2 | 25 | 9 |
| 3 | 40 | 9 |
| 4 | 59 | 9 |
| 5 | 61 | 9 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 x (+.f64 y 1)) |
| Outputs |
|---|
(*.f64 x (+.f64 y 1)) |
(fma.f64 x y x) |
Compiled 11 to 6 computations (45.5% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0b | (fma.f64 x y x) |
| ▶ | 0.0b | (*.f64 x (+.f64 y 1)) |
Compiled 13 to 8 computations (38.5% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 x (+.f64 y 1)) |
Compiled 13 to 8 computations (38.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (*.f64 x (+.f64 y 1)) |
| 0.0ms | x | @ | 0 | (*.f64 x (+.f64 y 1)) |
| 0.0ms | x | @ | inf | (*.f64 x (+.f64 y 1)) |
| 0.0ms | y | @ | inf | (*.f64 x (+.f64 y 1)) |
| 0.0ms | y | @ | 0 | (*.f64 x (+.f64 y 1)) |
| 1× | batch-egg-rewrite |
| 1482× | add-sqr-sqrt |
| 1466× | *-un-lft-identity |
| 1368× | add-cube-cbrt |
| 1348× | add-cbrt-cube |
| 1336× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 147 | 9 |
| 2 | 1871 | 9 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (+.f64 y 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 y y -1)) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (pow.f64 y 3))) (fma.f64 y y (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 y y -1) x) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 y 3)) x) (fma.f64 y y (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 x x)) (-.f64 (*.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (-.f64 (*.f64 x x) (*.f64 (*.f64 x y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x y x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x y x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x y x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x y x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x y x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x x))))) |
| 1× | egg-herbie |
| 998× | times-frac |
| 846× | associate-*r* |
| 740× | associate-*l* |
| 728× | associate-+r+ |
| 714× | associate-+r- |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 531 |
| 1 | 177 | 529 |
| 2 | 614 | 517 |
| 3 | 2947 | 507 |
| 4 | 7948 | 507 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 1 y) x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 (+.f64 1 y) x) |
(*.f64 (+.f64 1 y) x) |
x |
(+.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y x) x) |
(*.f64 y x) |
(+.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y x) x) |
(*.f64 y x) |
(+.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y x) x) |
(+.f64 (*.f64 y x) x) |
(+.f64 x (*.f64 x y)) |
(+.f64 (*.f64 x y) x) |
(+.f64 (*.f64 (*.f64 x y) 1) x) |
(-.f64 (+.f64 1 (fma.f64 x y x)) 1) |
(/.f64 (*.f64 x (fma.f64 y y -1)) (+.f64 y -1)) |
(/.f64 (*.f64 x (+.f64 1 (pow.f64 y 3))) (fma.f64 y y (-.f64 1 y))) |
(/.f64 (*.f64 (fma.f64 y y -1) x) (+.f64 y -1)) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 y 3)) x) (fma.f64 y y (-.f64 1 y))) |
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 x x)) (-.f64 (*.f64 x y) x)) |
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (-.f64 (*.f64 x x) (*.f64 (*.f64 x y) x)))) |
(pow.f64 (fma.f64 x y x) 1) |
(pow.f64 (sqrt.f64 (fma.f64 x y x)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 x y x)) 3) |
(pow.f64 (pow.f64 (fma.f64 x y x) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 x y x) 2)) |
(log.f64 (exp.f64 (fma.f64 x y x))) |
(cbrt.f64 (pow.f64 (fma.f64 x y x) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 x y x))) |
(exp.f64 (log.f64 (fma.f64 x y x))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x y x)) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 x y x))) |
(fma.f64 x y x) |
(fma.f64 y x x) |
| Outputs |
|---|
(*.f64 (+.f64 1 y) x) |
(fma.f64 y x x) |
(*.f64 (+.f64 1 y) x) |
(fma.f64 y x x) |
(*.f64 (+.f64 1 y) x) |
(fma.f64 y x x) |
(*.f64 (+.f64 1 y) x) |
(fma.f64 y x x) |
(*.f64 (+.f64 1 y) x) |
(fma.f64 y x x) |
(*.f64 (+.f64 1 y) x) |
(fma.f64 y x x) |
(*.f64 (+.f64 1 y) x) |
(fma.f64 y x x) |
(*.f64 (+.f64 1 y) x) |
(fma.f64 y x x) |
(*.f64 (+.f64 1 y) x) |
(fma.f64 y x x) |
(*.f64 (+.f64 1 y) x) |
(fma.f64 y x x) |
(*.f64 (+.f64 1 y) x) |
(fma.f64 y x x) |
(*.f64 (+.f64 1 y) x) |
(fma.f64 y x x) |
x |
(+.f64 (*.f64 y x) x) |
(fma.f64 y x x) |
(+.f64 (*.f64 y x) x) |
(fma.f64 y x x) |
(+.f64 (*.f64 y x) x) |
(fma.f64 y x x) |
(*.f64 y x) |
(+.f64 (*.f64 y x) x) |
(fma.f64 y x x) |
(+.f64 (*.f64 y x) x) |
(fma.f64 y x x) |
(+.f64 (*.f64 y x) x) |
(fma.f64 y x x) |
(*.f64 y x) |
(+.f64 (*.f64 y x) x) |
(fma.f64 y x x) |
(+.f64 (*.f64 y x) x) |
(fma.f64 y x x) |
(+.f64 (*.f64 y x) x) |
(fma.f64 y x x) |
(+.f64 x (*.f64 x y)) |
(fma.f64 y x x) |
(+.f64 (*.f64 x y) x) |
(fma.f64 y x x) |
(+.f64 (*.f64 (*.f64 x y) 1) x) |
(fma.f64 y x x) |
(-.f64 (+.f64 1 (fma.f64 x y x)) 1) |
(fma.f64 y x x) |
(/.f64 (*.f64 x (fma.f64 y y -1)) (+.f64 y -1)) |
(fma.f64 y x x) |
(/.f64 (*.f64 x (+.f64 1 (pow.f64 y 3))) (fma.f64 y y (-.f64 1 y))) |
(/.f64 x (/.f64 (fma.f64 y y (-.f64 1 y)) (+.f64 1 (pow.f64 y 3)))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 y 3)) (fma.f64 y y (-.f64 1 y))) x) |
(/.f64 (fma.f64 x (pow.f64 y 3) x) (-.f64 (fma.f64 y y 1) y)) |
(/.f64 (*.f64 (fma.f64 y y -1) x) (+.f64 y -1)) |
(fma.f64 y x x) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 y 3)) x) (fma.f64 y y (-.f64 1 y))) |
(/.f64 x (/.f64 (fma.f64 y y (-.f64 1 y)) (+.f64 1 (pow.f64 y 3)))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 y 3)) (fma.f64 y y (-.f64 1 y))) x) |
(/.f64 (fma.f64 x (pow.f64 y 3) x) (-.f64 (fma.f64 y y 1) y)) |
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 x x)) (-.f64 (*.f64 x y) x)) |
(fma.f64 y x x) |
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (-.f64 (*.f64 x x) (*.f64 (*.f64 x y) x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3)) (fma.f64 (*.f64 y x) (*.f64 y x) (*.f64 x (-.f64 x (*.f64 y x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3)) (*.f64 x (+.f64 (*.f64 (*.f64 y y) x) (-.f64 x (*.f64 y x))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3)) x) (-.f64 (*.f64 x (fma.f64 y y 1)) (*.f64 y x))) |
(*.f64 1 (/.f64 (*.f64 x (fma.f64 x (pow.f64 y 3) x)) (*.f64 x (-.f64 (fma.f64 y y 1) y)))) |
(pow.f64 (fma.f64 x y x) 1) |
(fma.f64 y x x) |
(pow.f64 (sqrt.f64 (fma.f64 x y x)) 2) |
(fma.f64 y x x) |
(pow.f64 (cbrt.f64 (fma.f64 x y x)) 3) |
(fma.f64 y x x) |
(pow.f64 (pow.f64 (fma.f64 x y x) 3) 1/3) |
(fma.f64 y x x) |
(sqrt.f64 (pow.f64 (fma.f64 x y x) 2)) |
(fma.f64 y x x) |
(log.f64 (exp.f64 (fma.f64 x y x))) |
(fma.f64 y x x) |
(cbrt.f64 (pow.f64 (fma.f64 x y x) 3)) |
(fma.f64 y x x) |
(expm1.f64 (log1p.f64 (fma.f64 x y x))) |
(fma.f64 y x x) |
(exp.f64 (log.f64 (fma.f64 x y x))) |
(fma.f64 y x x) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x y x)) 1)) |
(fma.f64 y x x) |
(log1p.f64 (expm1.f64 (fma.f64 x y x))) |
(fma.f64 y x x) |
(fma.f64 x y x) |
(fma.f64 y x x) |
(fma.f64 y x x) |
Compiled 8 to 3 computations (62.5% saved)
Compiled 344 to 158 computations (54.1% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 31 | 3 | 34 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 33 | 3 | 36 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0b | (+.f64 (*.f64 y x) x) |
| ▶ | 38.2b | (*.f64 y x) |
| 24.6b | x |
Compiled 15 to 9 computations (40% saved)
Compiled 7 to 3 computations (57.1% saved)
Compiled 12 to 4 computations (66.7% saved)
Compiled 2 to 2 computations (0% saved)
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0b | (+.f64 (*.f64 y x) x) |
| ✓ | 38.2b | (*.f64 y x) |
| 24.6b | x |
Compiled 15 to 9 computations (40% saved)
Compiled 2 to 2 computations (0% saved)
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 2 | 2 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0b | (+.f64 (*.f64 y x) x) |
| ✓ | 38.2b | (*.f64 y x) |
| 24.6b | x |
Compiled 15 to 9 computations (40% saved)
Compiled 2 to 2 computations (0% saved)
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 2 | 2 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0b | (+.f64 (*.f64 y x) x) |
| ✓ | 38.2b | (*.f64 y x) |
| 24.6b | x |
Compiled 15 to 9 computations (40% saved)
| Inputs |
|---|
x |
(*.f64 y x) |
(*.f64 x (+.f64 y 1)) |
(+.f64 (*.f64 y x) x) |
(fma.f64 x y x) |
| Outputs |
|---|
(+.f64 (*.f64 y x) x) |
4 calls:
| 5.0ms | x |
| 4.0ms | (*.f64 x (+.f64 y 1)) |
| 4.0ms | y |
| 3.0ms | (+.f64 y 1) |
| Error | Segments | Branch |
|---|---|---|
| 0b | 1 | x |
| 0b | 1 | y |
| 0b | 1 | (*.f64 x (+.f64 y 1)) |
| 0b | 1 | (+.f64 y 1) |
Compiled 38 to 21 computations (44.7% saved)
| Inputs |
|---|
x |
(*.f64 y x) |
(*.f64 x (+.f64 y 1)) |
| Outputs |
|---|
(*.f64 x (+.f64 y 1)) |
4 calls:
| 5.0ms | y |
| 3.0ms | (*.f64 x (+.f64 y 1)) |
| 3.0ms | x |
| 2.0ms | (+.f64 y 1) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | (*.f64 x (+.f64 y 1)) |
| 0.0b | 1 | (+.f64 y 1) |
Compiled 29 to 19 computations (34.5% saved)
Total -59.6b remaining (-3673.8%)
Threshold costs -59.6b (-3673.8%)
| Inputs |
|---|
x |
(*.f64 y x) |
| Outputs |
|---|
(*.f64 y x) |
x |
(*.f64 y x) |
2 calls:
| 24.0ms | x |
| 9.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 19.0b | 9 | x |
| 1.6b | 3 | y |
Compiled 12 to 7 computations (41.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 0.0138653253739914 | 376.2126838188567 |
| 11.0ms | -22957.21123752864 | -0.5790488544908372 |
| 24.0ms | 256× | body | 256 | valid |
Compiled 172 to 121 computations (29.7% saved)
| 1× | egg-herbie |
| 4× | +-commutative |
| 4× | *-commutative |
| 2× | 1-exp |
| 2× | if-if-or-not |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 60 |
| 1 | 29 | 60 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 y x) x) |
(*.f64 x (+.f64 y 1)) |
(if (<=.f64 y -1) (*.f64 y x) (if (<=.f64 y 1) x (*.f64 y x))) |
x |
| Outputs |
|---|
(+.f64 (*.f64 y x) x) |
(+.f64 x (*.f64 y x)) |
(*.f64 x (+.f64 y 1)) |
(if (<=.f64 y -1) (*.f64 y x) (if (<=.f64 y 1) x (*.f64 y x))) |
x |
Compiled 34 to 20 computations (41.2% saved)
Compiled 28 to 13 computations (53.6% saved)
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