Time bar (total: 3.3s)
| 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 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 5 |
| 18.8% | 18.7% | 81.2% | 0.1% | 0% | 0% | 0% | 6 |
| 46.9% | 46.8% | 53.1% | 0.1% | 0% | 0% | 0% | 7 |
| 54.7% | 54.6% | 45.3% | 0.1% | 0% | 0% | 0% | 8 |
| 71.1% | 71% | 28.9% | 0.1% | 0% | 0% | 0% | 9 |
| 76.2% | 76.1% | 23.8% | 0.1% | 0% | 0% | 0% | 10 |
| 85% | 84.9% | 15% | 0.1% | 0% | 0% | 0% | 11 |
| 87.8% | 87.7% | 12.2% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 10 to 7 computations (30% saved)
| 866.0ms | 8255× | body | 256 | valid |
| 0.0ms | 1× | body | 1024 | valid |
| 2× | egg-herbie |
| 3× | +-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 20 |
| 1 | 15 | 20 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y 1)) |
(/.f64 (+.f64 y x) (+.f64 x 1)) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y 1)) |
(/.f64 (+.f64 y x) (+.f64 x 1)) |
(/.f64 (+.f64 x y) (+.f64 x 1)) |
Compiled 11 to 8 computations (27.3% saved)
| 1× | egg-herbie |
| 2× | +-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 11 | 10 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y 1)) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y 1)) |
Compiled 9 to 6 computations (33.3% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (/.f64 (+.f64 x y) (+.f64 y 1)) |
Compiled 9 to 6 computations (33.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 x y) (+.f64 y 1)) |
Compiled 18 to 9 computations (50% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 (+.f64 x y) (+.f64 y 1)) |
| 1.0ms | x | @ | 0 | (/.f64 (+.f64 x y) (+.f64 y 1)) |
| 1.0ms | x | @ | -inf | (/.f64 (+.f64 x y) (+.f64 y 1)) |
| 1.0ms | y | @ | -inf | (/.f64 (+.f64 x y) (+.f64 y 1)) |
| 1.0ms | y | @ | inf | (/.f64 (+.f64 x y) (+.f64 y 1)) |
| 1× | batch-egg-rewrite |
| 936× | pow1_binary64 |
| 874× | log1p-expm1-u_binary64 |
| 874× | expm1-log1p-u_binary64 |
| 873× | add-log-exp_binary64 |
| 856× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 157 | 10 |
| 2 | 2318 | 10 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (+.f64 x y) (+.f64 y 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x y) (/.f64 1 (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x y) (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) (+.f64 y 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))) 2) (cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (*.f64 (cbrt.f64 (+.f64 x y)) (/.f64 1 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))) (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 x y)) (/.f64 1 (+.f64 (neg.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y 1)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x y)) (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) (/.f64 (sqrt.f64 (+.f64 x y)) (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 (+.f64 x y) (cbrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 y))) (/.f64 (+.f64 x y) (hypot.f64 1 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (hypot.f64 1 (sqrt.f64 y))) (/.f64 (cbrt.f64 (+.f64 x y)) (hypot.f64 1 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) (+.f64 1 (pow.f64 y 3))) (fma.f64 y y (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) (fma.f64 y y -1)) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x y) (+.f64 y 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x y) (+.f64 y 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (+.f64 y 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y 1) (+.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x y) (+.f64 (neg.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) (+.f64 y 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x y) (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (+.f64 y 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (+.f64 y 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (+.f64 x y)) (log1p.f64 y))))))) |
| 1× | egg-herbie |
| 670× | unsub-neg_binary64 |
| 628× | associate-+l-_binary64 |
| 583× | associate--l+_binary64 |
| 367× | +-commutative_binary64 |
| 295× | div-sub_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 408 |
| 1 | 155 | 406 |
| 2 | 498 | 362 |
| 3 | 2093 | 350 |
| 4 | 7242 | 346 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (+.f64 1 y)) |
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y))) |
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y))) |
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y))) |
(/.f64 x (+.f64 1 y)) |
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y))) |
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y))) |
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y))) |
(/.f64 x (+.f64 1 y)) |
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y))) |
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y))) |
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y))) |
x |
(+.f64 (*.f64 y (-.f64 1 x)) x) |
(+.f64 (*.f64 y (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 x 1)) x)) |
(+.f64 (*.f64 y (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 3) (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 x 1)) x))) |
1 |
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 x y)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y))) |
(+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y))))) |
(+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 y 3))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y)))))) |
| Outputs |
|---|
(/.f64 y (+.f64 1 y)) |
(/.f64 y (+.f64 y 1)) |
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y))) |
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1))) |
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y))) |
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1))) |
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y))) |
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1))) |
(/.f64 x (+.f64 1 y)) |
(/.f64 x (+.f64 y 1)) |
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y))) |
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1))) |
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y))) |
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1))) |
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y))) |
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1))) |
(/.f64 x (+.f64 1 y)) |
(/.f64 x (+.f64 y 1)) |
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y))) |
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1))) |
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y))) |
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1))) |
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y))) |
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1))) |
x |
(+.f64 (*.f64 y (-.f64 1 x)) x) |
(fma.f64 y (-.f64 1 x) x) |
(+.f64 (*.f64 y (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 x 1)) x)) |
(fma.f64 y (-.f64 1 x) (fma.f64 (*.f64 y y) (+.f64 x -1) x)) |
(fma.f64 y (-.f64 1 x) (fma.f64 y (*.f64 y (-.f64 x 1)) x)) |
(fma.f64 y (-.f64 1 x) (fma.f64 y (*.f64 y (+.f64 x -1)) x)) |
(+.f64 (*.f64 y (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 3) (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 x 1)) x))) |
(fma.f64 y (-.f64 1 x) (fma.f64 (pow.f64 y 3) (-.f64 1 x) (fma.f64 (*.f64 y y) (+.f64 x -1) x))) |
(+.f64 (fma.f64 (*.f64 y y) (+.f64 x -1) x) (*.f64 (-.f64 1 x) (+.f64 y (pow.f64 y 3)))) |
(fma.f64 (-.f64 1 x) (+.f64 y (pow.f64 y 3)) (fma.f64 y (*.f64 y (-.f64 x 1)) x)) |
(fma.f64 (-.f64 1 x) (+.f64 y (pow.f64 y 3)) (fma.f64 y (*.f64 y (+.f64 x -1)) x)) |
1 |
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y)) |
(+.f64 1 (-.f64 (/.f64 x y) (/.f64 1 y))) |
(+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y))) |
(-.f64 1 (/.f64 (-.f64 1 x) y)) |
(+.f64 1 (/.f64 (+.f64 x -1) y)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))) |
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (+.f64 1 (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))))) |
(+.f64 (+.f64 1 (/.f64 x y)) (-.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))))) |
(+.f64 (+.f64 (+.f64 1 (/.f64 x y)) (/.f64 (-.f64 1 x) (*.f64 y y))) (/.f64 -1 y)) |
(+.f64 (/.f64 (+.f64 x -1) y) (+.f64 1 (/.f64 (-.f64 1 x) (*.f64 y y)))) |
(+.f64 (/.f64 (+.f64 x -1) y) (-.f64 1 (/.f64 (+.f64 x -1) (*.f64 y y)))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 x y)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3))))) |
(-.f64 (+.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 1 (*.f64 y y))) (+.f64 1 (/.f64 x y))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 1 (pow.f64 y 3))))) |
(+.f64 (+.f64 1 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 y y)))) (-.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 y))))) |
(-.f64 (+.f64 (+.f64 (+.f64 1 (/.f64 x y)) (/.f64 (-.f64 1 x) (*.f64 y y))) (/.f64 -1 y)) (/.f64 (-.f64 1 x) (pow.f64 y 3))) |
(-.f64 (+.f64 (+.f64 1 (/.f64 (+.f64 x -1) y)) (/.f64 (+.f64 x -1) (pow.f64 y 3))) (/.f64 (+.f64 x -1) (*.f64 y y))) |
(fma.f64 (/.f64 (-.f64 1 x) y) (+.f64 -1 (/.f64 -1 (*.f64 y y))) (-.f64 1 (/.f64 (+.f64 x -1) (*.f64 y y)))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y))) |
(+.f64 1 (-.f64 (/.f64 x y) (/.f64 1 y))) |
(+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y))) |
(-.f64 1 (/.f64 (-.f64 1 x) y)) |
(+.f64 1 (/.f64 (+.f64 x -1) y)) |
(+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y))))) |
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (+.f64 1 (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))))) |
(+.f64 (+.f64 1 (/.f64 x y)) (-.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))))) |
(+.f64 (+.f64 (+.f64 1 (/.f64 x y)) (/.f64 (-.f64 1 x) (*.f64 y y))) (/.f64 -1 y)) |
(+.f64 (/.f64 (+.f64 x -1) y) (+.f64 1 (/.f64 (-.f64 1 x) (*.f64 y y)))) |
(+.f64 (/.f64 (+.f64 x -1) y) (-.f64 1 (/.f64 (+.f64 x -1) (*.f64 y y)))) |
(+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 y 3))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y)))))) |
(-.f64 (+.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 1 (*.f64 y y))) (+.f64 1 (/.f64 x y))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 1 (pow.f64 y 3))))) |
(+.f64 (+.f64 1 (+.f64 (/.f64 x y) (/.f64 1 (*.f64 y y)))) (-.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 y))))) |
(-.f64 (+.f64 (+.f64 (+.f64 1 (/.f64 x y)) (/.f64 (-.f64 1 x) (*.f64 y y))) (/.f64 -1 y)) (/.f64 (-.f64 1 x) (pow.f64 y 3))) |
(-.f64 (+.f64 (+.f64 1 (/.f64 (+.f64 x -1) y)) (/.f64 (+.f64 x -1) (pow.f64 y 3))) (/.f64 (+.f64 x -1) (*.f64 y y))) |
(fma.f64 (/.f64 (-.f64 1 x) y) (+.f64 -1 (/.f64 -1 (*.f64 y y))) (-.f64 1 (/.f64 (+.f64 x -1) (*.f64 y y)))) |
Compiled 733 to 446 computations (39.2% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 50 | 6 | 56 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 50 | 7 | 57 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.1b | (*.f64 (/.f64 1 (+.f64 y 1)) (+.f64 x y)) |
| ▶ | 30.4b | (/.f64 y (+.f64 y 1)) |
| ✓ | 0.0b | (/.f64 (+.f64 x y) (+.f64 y 1)) |
| 40.4b | x | |
| ▶ | 32.9b | (/.f64 x (+.f64 y 1)) |
| ▶ | 30.6b | (+.f64 1 (/.f64 (+.f64 x -1) y)) |
| 38.0b | 1 |
Compiled 49 to 36 computations (26.5% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1 (+.f64 y 1)) |
| ✓ | 0.1b | (*.f64 (/.f64 1 (+.f64 y 1)) (+.f64 x y)) |
Compiled 25 to 15 computations (40% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (/.f64 1 (+.f64 y 1)) |
| 1.0ms | y | @ | 0 | (/.f64 1 (+.f64 y 1)) |
| 0.0ms | y | @ | 0 | (*.f64 (/.f64 1 (+.f64 y 1)) (+.f64 x y)) |
| 0.0ms | y | @ | -inf | (/.f64 1 (+.f64 y 1)) |
| 0.0ms | y | @ | inf | (*.f64 (/.f64 1 (+.f64 y 1)) (+.f64 x y)) |
| 1× | batch-egg-rewrite |
| 783× | prod-diff_binary64 |
| 439× | log-prod_binary64 |
| 343× | pow-prod-down_binary64 |
| 301× | fma-def_binary64 |
| 238× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 184 | 17 |
| 2 | 2748 | 17 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (+.f64 y 1)) (+.f64 x y)) |
(/.f64 1 (+.f64 y 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 y x) (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 1 y)) (/.f64 y (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (+.f64 1 y)) 1) (*.f64 (/.f64 y (+.f64 1 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 y x) (+.f64 1 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 y x) (+.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 y x) (+.f64 1 y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 y x) (+.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 y x) (+.f64 1 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 y) (+.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y x) (+.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (/.f64 (+.f64 1 y) (cbrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 y x)) (/.f64 (+.f64 1 y) (sqrt.f64 (+.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (+.f64 1 y) (fma.f64 y (-.f64 y x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (+.f64 1 y) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 y x)) (+.f64 -1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (+.f64 -1 (neg.f64 y)) (fma.f64 y (-.f64 y x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 (+.f64 y x) (-.f64 x y))) (*.f64 (+.f64 -1 (neg.f64 y)) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) 1) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) 1) (*.f64 (-.f64 x y) (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) -1) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (+.f64 -1 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) -1) (*.f64 (-.f64 x y) (+.f64 -1 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 y x) (sqrt.f64 (+.f64 1 y))) (sqrt.f64 (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 1 y)) 3) (pow.f64 (/.f64 y (+.f64 1 y)) 3)) (+.f64 (pow.f64 (/.f64 x (+.f64 1 y)) 2) (-.f64 (pow.f64 (/.f64 y (+.f64 1 y)) 2) (*.f64 (/.f64 x (+.f64 1 y)) (/.f64 y (+.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 1 y)) 2) (pow.f64 (/.f64 y (+.f64 1 y)) 2)) (-.f64 (/.f64 x (+.f64 1 y)) (/.f64 y (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 y x) 1) (+.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 y x) (pow.f64 (cbrt.f64 (+.f64 1 y)) 2)) (cbrt.f64 (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 y x)) (+.f64 -1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 1 (+.f64 1 y))) (fma.f64 y (-.f64 y x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 1 (+.f64 1 y))) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (+.f64 1 y)) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (-.f64 y x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (+.f64 1 y)) (*.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 y x) -1) (+.f64 -1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y x) (+.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 y x) (+.f64 1 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 y x) (+.f64 1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 y x) (+.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 y x) (+.f64 1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (+.f64 1 y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 y) (+.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 y x) (+.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 y x) (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 y x) (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 y (+.f64 1 y))) (exp.f64 (/.f64 x (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 y x) (+.f64 1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 y x) 3) (pow.f64 (+.f64 1 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 y x) (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 y x) (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (+.f64 y x)) (log1p.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 y x)) (log1p.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x (+.f64 1 y)) (/.f64 y (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (/.f64 1 (+.f64 1 y)) (/.f64 x (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 y)) y (/.f64 x (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 y)) x (/.f64 y (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 (+.f64 1 y)) (/.f64 y (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 y) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 y))) x) (/.f64 y (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 y) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 y))) y) (/.f64 x (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 y))) (/.f64 y (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (+.f64 1 y))) (/.f64 x (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 y) -1/2) (*.f64 (pow.f64 (+.f64 1 y) -1/2) x) (/.f64 y (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 y) -1/2) (*.f64 (pow.f64 (+.f64 1 y) -1/2) y) (/.f64 x (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 y))) (/.f64 y (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (+.f64 1 y))) (/.f64 x (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (+.f64 1 y)) 1 (*.f64 (/.f64 y (+.f64 1 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 y))) 2) (cbrt.f64 (/.f64 x (+.f64 1 y))) (/.f64 y (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 y (+.f64 1 y))) 2) (cbrt.f64 (/.f64 y (+.f64 1 y))) (/.f64 x (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x (+.f64 1 y))) (sqrt.f64 (/.f64 x (+.f64 1 y))) (/.f64 y (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 y (+.f64 1 y))) (sqrt.f64 (/.f64 y (+.f64 1 y))) (/.f64 x (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (+.f64 1 y)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 y (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (+.f64 1 y)) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 y (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (pow.f64 (+.f64 1 y) -2))) (/.f64 1 (cbrt.f64 (+.f64 1 y))) (/.f64 y (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (+.f64 1 y) -1/2)) (pow.f64 (+.f64 1 y) -1/2) (/.f64 y (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (+.f64 1 y)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (/.f64 x (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (+.f64 1 y)) (sqrt.f64 y)) (sqrt.f64 y) (/.f64 x (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (cbrt.f64 (pow.f64 (+.f64 1 y) -2))) (/.f64 1 (cbrt.f64 (+.f64 1 y))) (/.f64 x (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (+.f64 1 y) -1/2)) (pow.f64 (+.f64 1 y) -1/2) (/.f64 x (+.f64 1 y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 1 y))) (cbrt.f64 (pow.f64 (+.f64 1 y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 y) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 y) -1/2) (pow.f64 (+.f64 1 y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 y)) -2) (/.f64 1 (cbrt.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 y 3))) (-.f64 (fma.f64 y y 1) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 y y -1)) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 y) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 y) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 y) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 y) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 y) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 y)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (+.f64 -1 (neg.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 y) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 y)) 1)))))) |
| 1× | egg-herbie |
| 613× | associate--l+_binary64 |
| 433× | +-commutative_binary64 |
| 410× | fma-neg_binary64 |
| 343× | sub-neg_binary64 |
| 291× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 586 |
| 1 | 200 | 577 |
| 2 | 632 | 529 |
| 3 | 2538 | 517 |
| 4 | 7908 | 517 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 y (-.f64 1 x)) x) |
(+.f64 (*.f64 y (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 x 1)) x)) |
(+.f64 (*.f64 y (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 3) (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 x 1)) x))) |
1 |
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 x y)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y))) |
(+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y))))) |
(+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 y 3))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y)))))) |
(/.f64 y (+.f64 1 y)) |
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y))) |
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y))) |
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y))) |
(/.f64 x (+.f64 1 y)) |
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y))) |
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y))) |
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y))) |
(/.f64 x (+.f64 1 y)) |
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y))) |
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y))) |
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y))) |
1 |
(+.f64 1 (*.f64 -1 y)) |
(+.f64 1 (+.f64 (pow.f64 y 2) (*.f64 -1 y))) |
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 y 3)) (+.f64 (pow.f64 y 2) (*.f64 -1 y)))) |
(/.f64 1 y) |
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 4)))) |
(/.f64 1 y) |
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 4)))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 y (-.f64 1 x)) x) |
(fma.f64 y (-.f64 1 x) x) |
(+.f64 (*.f64 y (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 x 1)) x)) |
(fma.f64 y (-.f64 1 x) (fma.f64 (*.f64 y y) (+.f64 x -1) x)) |
(fma.f64 y (-.f64 1 x) (fma.f64 y (*.f64 y (+.f64 x -1)) x)) |
(fma.f64 y (-.f64 1 x) (fma.f64 y (-.f64 (*.f64 x y) y) x)) |
(+.f64 (*.f64 y (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 3) (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 x 1)) x))) |
(fma.f64 y (-.f64 1 x) (fma.f64 (pow.f64 y 3) (-.f64 1 x) (fma.f64 (*.f64 y y) (+.f64 x -1) x))) |
(+.f64 (fma.f64 (*.f64 y y) (+.f64 x -1) x) (*.f64 (-.f64 1 x) (+.f64 y (pow.f64 y 3)))) |
(fma.f64 (-.f64 1 x) (+.f64 y (pow.f64 y 3)) (fma.f64 y (*.f64 y (+.f64 x -1)) x)) |
(fma.f64 (-.f64 1 x) (+.f64 y (pow.f64 y 3)) (fma.f64 y (-.f64 (*.f64 x y) y) x)) |
1 |
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y)) |
(+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y))) |
(-.f64 1 (/.f64 (-.f64 1 x) y)) |
(+.f64 1 (/.f64 (+.f64 x -1) y)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 x y))) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))) |
(-.f64 (+.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 (*.f64 y y))) (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y)))) |
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (+.f64 1 (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))))) |
(+.f64 1 (+.f64 (/.f64 x y) (-.f64 (/.f64 (-.f64 1 x) (*.f64 y y)) (/.f64 1 y)))) |
(+.f64 (/.f64 (+.f64 x -1) y) (-.f64 1 (/.f64 (+.f64 x -1) (*.f64 y y)))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 x y)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3))))) |
(-.f64 (+.f64 (+.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 (*.f64 y y))) (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 1 (pow.f64 y 3))))) |
(+.f64 (/.f64 x (pow.f64 y 3)) (-.f64 (+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (+.f64 1 (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))))) (/.f64 1 (pow.f64 y 3)))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (-.f64 (/.f64 (-.f64 1 x) (*.f64 y y)) (/.f64 1 y)))) (/.f64 (-.f64 1 x) (pow.f64 y 3))) |
(+.f64 1 (+.f64 (/.f64 (+.f64 x -1) (pow.f64 y 3)) (+.f64 (/.f64 (+.f64 x -1) y) (/.f64 (-.f64 1 x) (*.f64 y y))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y))) |
(-.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 y)) |
(+.f64 1 (+.f64 (/.f64 x y) (/.f64 -1 y))) |
(-.f64 1 (/.f64 (-.f64 1 x) y)) |
(+.f64 1 (/.f64 (+.f64 x -1) y)) |
(+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y))))) |
(-.f64 (+.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 (*.f64 y y))) (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y)))) |
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (+.f64 1 (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))))) |
(+.f64 1 (+.f64 (/.f64 x y) (-.f64 (/.f64 (-.f64 1 x) (*.f64 y y)) (/.f64 1 y)))) |
(+.f64 (/.f64 (+.f64 x -1) y) (-.f64 1 (/.f64 (+.f64 x -1) (*.f64 y y)))) |
(+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 y 3))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) y)))))) |
(-.f64 (+.f64 (+.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 (*.f64 y y))) (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 1 (pow.f64 y 3))))) |
(+.f64 (/.f64 x (pow.f64 y 3)) (-.f64 (+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (+.f64 1 (/.f64 x y)) (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))))) (/.f64 1 (pow.f64 y 3)))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (-.f64 (/.f64 (-.f64 1 x) (*.f64 y y)) (/.f64 1 y)))) (/.f64 (-.f64 1 x) (pow.f64 y 3))) |
(+.f64 1 (+.f64 (/.f64 (+.f64 x -1) (pow.f64 y 3)) (+.f64 (/.f64 (+.f64 x -1) y) (/.f64 (-.f64 1 x) (*.f64 y y))))) |
(/.f64 y (+.f64 1 y)) |
(/.f64 y (+.f64 y 1)) |
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y))) |
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1))) |
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y))) |
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1))) |
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y))) |
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1))) |
(/.f64 x (+.f64 1 y)) |
(/.f64 x (+.f64 y 1)) |
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y))) |
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1))) |
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y))) |
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1))) |
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y))) |
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1))) |
(/.f64 x (+.f64 1 y)) |
(/.f64 x (+.f64 y 1)) |
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y))) |
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1))) |
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y))) |
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1))) |
(+.f64 (/.f64 y (+.f64 1 y)) (/.f64 x (+.f64 1 y))) |
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1))) |
1 |
(+.f64 1 (*.f64 -1 y)) |
(+.f64 1 (neg.f64 y)) |
(-.f64 1 y) |
(+.f64 1 (+.f64 (pow.f64 y 2) (*.f64 -1 y))) |
(+.f64 1 (+.f64 (*.f64 y y) (neg.f64 y))) |
(+.f64 1 (-.f64 (*.f64 y y) y)) |
(fma.f64 y (+.f64 y -1) 1) |
(-.f64 (fma.f64 y y 1) y) |
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 y 3)) (+.f64 (pow.f64 y 2) (*.f64 -1 y)))) |
(+.f64 1 (fma.f64 -1 (pow.f64 y 3) (+.f64 (*.f64 y y) (neg.f64 y)))) |
(+.f64 (-.f64 (*.f64 y y) y) (-.f64 1 (pow.f64 y 3))) |
(-.f64 (fma.f64 y (+.f64 y -1) 1) (pow.f64 y 3)) |
(-.f64 (fma.f64 y y 1) (+.f64 y (pow.f64 y 3))) |
(/.f64 1 y) |
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y))) |
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y))) |
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (/.f64 1 (*.f64 y y))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 -1 (*.f64 y y)))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))) |
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 4)))) |
(+.f64 (/.f64 1 y) (-.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 4))))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 -1 (*.f64 y y)) (/.f64 -1 (pow.f64 y 4))))) |
(/.f64 1 y) |
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y))) |
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y))) |
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (/.f64 1 (*.f64 y y))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 -1 (*.f64 y y)))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))) |
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 4)))) |
(+.f64 (/.f64 1 y) (-.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 4))))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 -1 (*.f64 y y)) (/.f64 -1 (pow.f64 y 4))))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 x -1) y) |
Compiled 21 to 14 computations (33.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (/.f64 (+.f64 x -1) y) |
| 1.0ms | x | @ | 0 | (/.f64 (+.f64 x -1) y) |
| 1.0ms | x | @ | -inf | (/.f64 (+.f64 x -1) y) |
| 0.0ms | y | @ | 0 | (/.f64 (+.f64 x -1) y) |
| 0.0ms | y | @ | -inf | (/.f64 (+.f64 x -1) y) |
| 1× | batch-egg-rewrite |
| 739× | pow1_binary64 |
| 687× | add-log-exp_binary64 |
| 687× | log1p-expm1-u_binary64 |
| 687× | expm1-log1p-u_binary64 |
| 674× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 130 | 7 |
| 2 | 1768 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 x -1) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (+.f64 x -1) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -1) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x -1) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x -1) y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) y)) 2) (cbrt.f64 (/.f64 (+.f64 x -1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (*.f64 (cbrt.f64 (+.f64 x -1)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x -1) y)) (sqrt.f64 (/.f64 (+.f64 x -1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (neg.f64 x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x -1)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) 1) (/.f64 (sqrt.f64 (+.f64 x -1)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 x -1) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (+.f64 x -1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (+.f64 x -1)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (+.f64 x -1) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 x -1)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x -1) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x -1) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x -1) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (+.f64 x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x -1) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x -1) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x -1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x -1) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x -1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x -1) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x -1) y))))))) |
| 1× | egg-herbie |
| 95× | fma-def_binary64 |
| 80× | fma-neg_binary64 |
| 32× | distribute-rgt-in_binary64 |
| 28× | cancel-sign-sub-inv_binary64 |
| 26× | distribute-lft-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 159 |
| 1 | 17 | 159 |
| 2 | 21 | 159 |
| 3 | 29 | 159 |
| 4 | 39 | 159 |
| 5 | 58 | 159 |
| 6 | 99 | 159 |
| 7 | 145 | 159 |
| 8 | 224 | 159 |
| 9 | 353 | 159 |
| 10 | 512 | 159 |
| 11 | 584 | 159 |
| 12 | 620 | 159 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 -1 y) |
(-.f64 (/.f64 x y) (/.f64 1 y)) |
(-.f64 (/.f64 x y) (/.f64 1 y)) |
(-.f64 (/.f64 x y) (/.f64 1 y)) |
(/.f64 x y) |
(-.f64 (/.f64 x y) (/.f64 1 y)) |
(-.f64 (/.f64 x y) (/.f64 1 y)) |
(-.f64 (/.f64 x y) (/.f64 1 y)) |
(/.f64 x y) |
(-.f64 (/.f64 x y) (/.f64 1 y)) |
(-.f64 (/.f64 x y) (/.f64 1 y)) |
(-.f64 (/.f64 x y) (/.f64 1 y)) |
(/.f64 (-.f64 x 1) y) |
(/.f64 (-.f64 x 1) y) |
(/.f64 (-.f64 x 1) y) |
(/.f64 (-.f64 x 1) y) |
(/.f64 (-.f64 x 1) y) |
(/.f64 (-.f64 x 1) y) |
(/.f64 (-.f64 x 1) y) |
(/.f64 (-.f64 x 1) y) |
(/.f64 (-.f64 x 1) y) |
(/.f64 (-.f64 x 1) y) |
(/.f64 (-.f64 x 1) y) |
(/.f64 (-.f64 x 1) y) |
| Outputs |
|---|
(/.f64 -1 y) |
(-.f64 (/.f64 x y) (/.f64 1 y)) |
(/.f64 (+.f64 x -1) y) |
(/.f64 (+.f64 -1 x) y) |
(-.f64 (/.f64 x y) (/.f64 1 y)) |
(/.f64 (+.f64 x -1) y) |
(/.f64 (+.f64 -1 x) y) |
(-.f64 (/.f64 x y) (/.f64 1 y)) |
(/.f64 (+.f64 x -1) y) |
(/.f64 (+.f64 -1 x) y) |
(/.f64 x y) |
(-.f64 (/.f64 x y) (/.f64 1 y)) |
(/.f64 (+.f64 x -1) y) |
(/.f64 (+.f64 -1 x) y) |
(-.f64 (/.f64 x y) (/.f64 1 y)) |
(/.f64 (+.f64 x -1) y) |
(/.f64 (+.f64 -1 x) y) |
(-.f64 (/.f64 x y) (/.f64 1 y)) |
(/.f64 (+.f64 x -1) y) |
(/.f64 (+.f64 -1 x) y) |
(/.f64 x y) |
(-.f64 (/.f64 x y) (/.f64 1 y)) |
(/.f64 (+.f64 x -1) y) |
(/.f64 (+.f64 -1 x) y) |
(-.f64 (/.f64 x y) (/.f64 1 y)) |
(/.f64 (+.f64 x -1) y) |
(/.f64 (+.f64 -1 x) y) |
(-.f64 (/.f64 x y) (/.f64 1 y)) |
(/.f64 (+.f64 x -1) y) |
(/.f64 (+.f64 -1 x) y) |
(/.f64 (-.f64 x 1) y) |
(/.f64 (+.f64 x -1) y) |
(/.f64 (+.f64 -1 x) y) |
(/.f64 (-.f64 x 1) y) |
(/.f64 (+.f64 x -1) y) |
(/.f64 (+.f64 -1 x) y) |
(/.f64 (-.f64 x 1) y) |
(/.f64 (+.f64 x -1) y) |
(/.f64 (+.f64 -1 x) y) |
(/.f64 (-.f64 x 1) y) |
(/.f64 (+.f64 x -1) y) |
(/.f64 (+.f64 -1 x) y) |
(/.f64 (-.f64 x 1) y) |
(/.f64 (+.f64 x -1) y) |
(/.f64 (+.f64 -1 x) y) |
(/.f64 (-.f64 x 1) y) |
(/.f64 (+.f64 x -1) y) |
(/.f64 (+.f64 -1 x) y) |
(/.f64 (-.f64 x 1) y) |
(/.f64 (+.f64 x -1) y) |
(/.f64 (+.f64 -1 x) y) |
(/.f64 (-.f64 x 1) y) |
(/.f64 (+.f64 x -1) y) |
(/.f64 (+.f64 -1 x) y) |
(/.f64 (-.f64 x 1) y) |
(/.f64 (+.f64 x -1) y) |
(/.f64 (+.f64 -1 x) y) |
(/.f64 (-.f64 x 1) y) |
(/.f64 (+.f64 x -1) y) |
(/.f64 (+.f64 -1 x) y) |
(/.f64 (-.f64 x 1) y) |
(/.f64 (+.f64 x -1) y) |
(/.f64 (+.f64 -1 x) y) |
(/.f64 (-.f64 x 1) y) |
(/.f64 (+.f64 x -1) y) |
(/.f64 (+.f64 -1 x) y) |
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 | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 x (+.f64 y 1)) |
| 1.0ms | x | @ | 0 | (/.f64 x (+.f64 y 1)) |
| 1.0ms | 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 |
| 688× | pow1_binary64 |
| 641× | log1p-expm1-u_binary64 |
| 641× | expm1-log1p-u_binary64 |
| 640× | add-log-exp_binary64 |
| 627× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 128 | 7 |
| 2 | 1730 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (+.f64 y 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (+.f64 y 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 y 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 y 1))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 y 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 y 1))) 2) (cbrt.f64 (/.f64 x (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 y 1))) (sqrt.f64 (/.f64 x (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (cbrt.f64 (/.f64 x (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 y 1))) (/.f64 x (sqrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 y 1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.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 x (fma.f64 y y -1)) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 y 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 y 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 y 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 y 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y 1) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 y 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 y 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 y 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (log1p.f64 y))))))) |
| 1× | egg-herbie |
| 681× | associate-/r*_binary64 |
| 512× | fma-def_binary64 |
| 395× | associate-/l/_binary64 |
| 393× | associate-/l*_binary64 |
| 256× | distribute-rgt-neg-in_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 281 |
| 1 | 83 | 269 |
| 2 | 221 | 263 |
| 3 | 732 | 252 |
| 4 | 3217 | 235 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (+.f64 1 y)) |
(/.f64 x (+.f64 1 y)) |
(/.f64 x (+.f64 1 y)) |
(/.f64 x (+.f64 1 y)) |
(/.f64 x (+.f64 1 y)) |
(/.f64 x (+.f64 1 y)) |
(/.f64 x (+.f64 1 y)) |
(/.f64 x (+.f64 1 y)) |
(/.f64 x (+.f64 1 y)) |
(/.f64 x (+.f64 1 y)) |
(/.f64 x (+.f64 1 y)) |
(/.f64 x (+.f64 1 y)) |
x |
(+.f64 (*.f64 -1 (*.f64 y x)) x) |
(+.f64 (*.f64 (pow.f64 y 2) x) (+.f64 (*.f64 -1 (*.f64 y x)) x)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) x)) (+.f64 (*.f64 (pow.f64 y 2) x) (+.f64 (*.f64 -1 (*.f64 y x)) x))) |
(/.f64 x y) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y)) |
(+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y))) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y)))) |
(/.f64 x y) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y)) |
(+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y))) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y)))) |
| Outputs |
|---|
(/.f64 x (+.f64 1 y)) |
(/.f64 x (+.f64 1 y)) |
(/.f64 x (+.f64 1 y)) |
(/.f64 x (+.f64 1 y)) |
(/.f64 x (+.f64 1 y)) |
(/.f64 x (+.f64 1 y)) |
(/.f64 x (+.f64 1 y)) |
(/.f64 x (+.f64 1 y)) |
(/.f64 x (+.f64 1 y)) |
(/.f64 x (+.f64 1 y)) |
(/.f64 x (+.f64 1 y)) |
(/.f64 x (+.f64 1 y)) |
x |
(+.f64 (*.f64 -1 (*.f64 y x)) x) |
(fma.f64 -1 (*.f64 x y) x) |
(-.f64 x (*.f64 x y)) |
(+.f64 (*.f64 (pow.f64 y 2) x) (+.f64 (*.f64 -1 (*.f64 y x)) x)) |
(fma.f64 (*.f64 y y) x (fma.f64 -1 (*.f64 x y) x)) |
(fma.f64 x (*.f64 y y) (-.f64 x (*.f64 x y))) |
(fma.f64 x (*.f64 y (+.f64 y -1)) x) |
(*.f64 x (fma.f64 y y (-.f64 1 y))) |
(*.f64 x (-.f64 (fma.f64 y y 1) y)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) x)) (+.f64 (*.f64 (pow.f64 y 2) x) (+.f64 (*.f64 -1 (*.f64 y x)) x))) |
(fma.f64 -1 (*.f64 x (pow.f64 y 3)) (fma.f64 (*.f64 y y) x (fma.f64 -1 (*.f64 x y) x))) |
(-.f64 (fma.f64 x (*.f64 y y) (-.f64 x (*.f64 x y))) (*.f64 x (pow.f64 y 3))) |
(-.f64 (fma.f64 x (*.f64 y (+.f64 y -1)) x) (*.f64 x (pow.f64 y 3))) |
(-.f64 x (*.f64 y (*.f64 x (fma.f64 y y (-.f64 1 y))))) |
(*.f64 x (*.f64 (fma.f64 y y 1) (-.f64 1 y))) |
(/.f64 x y) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y)) |
(fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 x y)) |
(-.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) |
(+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y))) |
(+.f64 (fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 x y)) (/.f64 x (pow.f64 y 3))) |
(+.f64 (-.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3))) |
(+.f64 (/.f64 x y) (-.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (*.f64 y y)))) |
(fma.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 x y) (/.f64 x (pow.f64 y 3))) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y)))) |
(fma.f64 -1 (/.f64 x (pow.f64 y 4)) (+.f64 (fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 x y)) (/.f64 x (pow.f64 y 3)))) |
(-.f64 (+.f64 (-.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3))) (/.f64 x (pow.f64 y 4))) |
(+.f64 (-.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (-.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 4)))) |
(fma.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 x y) (*.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 x (pow.f64 y 3)))) |
(*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3)))) |
(/.f64 x y) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y)) |
(fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 x y)) |
(-.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) |
(+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y))) |
(+.f64 (fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 x y)) (/.f64 x (pow.f64 y 3))) |
(+.f64 (-.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3))) |
(+.f64 (/.f64 x y) (-.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (*.f64 y y)))) |
(fma.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 x y) (/.f64 x (pow.f64 y 3))) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 4))) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 x y)))) |
(fma.f64 -1 (/.f64 x (pow.f64 y 4)) (+.f64 (fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 x y)) (/.f64 x (pow.f64 y 3)))) |
(-.f64 (+.f64 (-.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3))) (/.f64 x (pow.f64 y 4))) |
(+.f64 (-.f64 (/.f64 x y) (/.f64 x (*.f64 y y))) (-.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 4)))) |
(fma.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 x y) (*.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 x (pow.f64 y 3)))) |
(*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3)))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 y (+.f64 y 1)) |
Compiled 12 to 8 computations (33.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (/.f64 y (+.f64 y 1)) |
| 0.0ms | y | @ | -inf | (/.f64 y (+.f64 y 1)) |
| 0.0ms | y | @ | inf | (/.f64 y (+.f64 y 1)) |
| 1× | batch-egg-rewrite |
| 599× | pow1_binary64 |
| 561× | log1p-expm1-u_binary64 |
| 561× | expm1-log1p-u_binary64 |
| 560× | add-log-exp_binary64 |
| 549× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 109 | 7 |
| 2 | 1515 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (+.f64 y 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 y (+.f64 y 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 y 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (+.f64 y 1))) (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y 1))) 2) (cbrt.f64 (/.f64 y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (+.f64 y 1))) (sqrt.f64 (/.f64 y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (+.f64 (neg.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y 1)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 y (cbrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (cbrt.f64 (/.f64 y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 y 1))) (/.f64 y (sqrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (+.f64 y 1))) (/.f64 (cbrt.f64 y) (sqrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 1 (pow.f64 y 3))) (fma.f64 y y (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (fma.f64 y y -1)) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (+.f64 y 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (+.f64 y 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (+.f64 y 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (+.f64 y 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y 1) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (+.f64 (neg.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (+.f64 y 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (+.f64 y 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 y) (log1p.f64 y))))))) |
| 1× | egg-herbie |
| 430× | sub-neg_binary64 |
| 334× | fma-def_binary64 |
| 282× | distribute-neg-frac_binary64 |
| 251× | unsub-neg_binary64 |
| 231× | associate-/r*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 143 |
| 1 | 69 | 138 |
| 2 | 175 | 134 |
| 3 | 533 | 131 |
| 4 | 2343 | 130 |
| 5 | 6325 | 130 |
| 1× | node limit |
| Inputs |
|---|
y |
(+.f64 (*.f64 -1 (pow.f64 y 2)) y) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 3) y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 3) (+.f64 y (*.f64 -1 (pow.f64 y 4))))) |
1 |
(-.f64 1 (/.f64 1 y)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) |
1 |
(-.f64 1 (/.f64 1 y)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) |
| Outputs |
|---|
y |
(+.f64 (*.f64 -1 (pow.f64 y 2)) y) |
(fma.f64 -1 (*.f64 y y) y) |
(-.f64 y (*.f64 y y)) |
(fma.f64 y (neg.f64 y) y) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 3) y)) |
(fma.f64 -1 (*.f64 y y) (+.f64 y (pow.f64 y 3))) |
(+.f64 y (*.f64 (*.f64 y y) (+.f64 -1 y))) |
(fma.f64 (*.f64 y y) (+.f64 y -1) y) |
(fma.f64 y (*.f64 y (+.f64 y -1)) y) |
(fma.f64 y (fma.f64 y y (neg.f64 y)) y) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 3) (+.f64 y (*.f64 -1 (pow.f64 y 4))))) |
(fma.f64 -1 (*.f64 y y) (+.f64 (pow.f64 y 3) (+.f64 y (neg.f64 (pow.f64 y 4))))) |
(+.f64 (-.f64 y (pow.f64 y 4)) (*.f64 (*.f64 y y) (+.f64 -1 y))) |
(-.f64 (fma.f64 (*.f64 y y) (+.f64 y -1) y) (pow.f64 y 4)) |
(*.f64 (fma.f64 y y 1) (-.f64 y (*.f64 y y))) |
(*.f64 (-.f64 1 y) (+.f64 y (pow.f64 y 3))) |
1 |
(-.f64 1 (/.f64 1 y)) |
(+.f64 1 (/.f64 -1 y)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y)) |
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 1 (/.f64 1 y))) |
(+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 1 (*.f64 y y))) |
(+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 y y))) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) |
(+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 -1 y) (/.f64 -1 (pow.f64 y 3))))) |
(+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 -1 (pow.f64 y 3)))) |
(+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (-.f64 1 (/.f64 1 y)) (/.f64 -1 (pow.f64 y 3)))) |
1 |
(-.f64 1 (/.f64 1 y)) |
(+.f64 1 (/.f64 -1 y)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y)) |
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 1 (/.f64 1 y))) |
(+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 1 (*.f64 y y))) |
(+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 y y))) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) |
(+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 -1 y) (/.f64 -1 (pow.f64 y 3))))) |
(+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 -1 (pow.f64 y 3)))) |
(+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (-.f64 1 (/.f64 1 y)) (/.f64 -1 (pow.f64 y 3)))) |
Compiled 3416 to 2214 computations (35.2% saved)
9 alts after pruning (6 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 267 | 6 | 273 |
| Fresh | 2 | 0 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 2 | 4 |
| Total | 271 | 9 | 280 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 x y) (+.f64 y 1)) |
| ▶ | 54.8b | (/.f64 x y) |
| 38.0b | 1 | |
| 54.6b | y | |
| ▶ | 30.4b | (*.f64 (/.f64 1 (+.f64 y 1)) y) |
| 40.4b | x | |
| ✓ | 32.9b | (/.f64 x (+.f64 y 1)) |
| ✓ | 30.4b | (/.f64 y (+.f64 y 1)) |
| ▶ | 30.5b | (+.f64 1 (/.f64 x y)) |
Compiled 53 to 38 computations (28.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 1 (+.f64 y 1)) | |
| ✓ | 0.0b | (*.f64 (/.f64 1 (+.f64 y 1)) y) |
Compiled 19 to 14 computations (26.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (*.f64 (/.f64 1 (+.f64 y 1)) y) |
| 0.0ms | y | @ | inf | (*.f64 (/.f64 1 (+.f64 y 1)) y) |
| 0.0ms | y | @ | -inf | (*.f64 (/.f64 1 (+.f64 y 1)) y) |
| 1× | batch-egg-rewrite |
| 644× | pow1_binary64 |
| 601× | log1p-expm1-u_binary64 |
| 601× | expm1-log1p-u_binary64 |
| 600× | add-log-exp_binary64 |
| 588× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 130 | 7 |
| 2 | 1706 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (+.f64 y 1)) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 y (+.f64 1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (+.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (+.f64 1 y) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 y) (/.f64 (+.f64 1 y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) (+.f64 -1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (sqrt.f64 (+.f64 1 y))) (sqrt.f64 (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y 1) (+.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (pow.f64 (cbrt.f64 (+.f64 1 y)) 2)) (cbrt.f64 (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 y) (+.f64 -1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y -1) (+.f64 -1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (+.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (+.f64 1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (+.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (+.f64 1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (+.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (+.f64 1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 1 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 1 (+.f64 1 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 y)) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 y) (log1p.f64 y))))))) |
| 1× | egg-herbie |
| 430× | sub-neg_binary64 |
| 334× | fma-def_binary64 |
| 282× | distribute-neg-frac_binary64 |
| 251× | unsub-neg_binary64 |
| 231× | associate-/r*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 143 |
| 1 | 69 | 138 |
| 2 | 175 | 134 |
| 3 | 533 | 131 |
| 4 | 2343 | 130 |
| 5 | 6325 | 130 |
| 1× | node limit |
| Inputs |
|---|
y |
(+.f64 (*.f64 -1 (pow.f64 y 2)) y) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 3) y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 3) (+.f64 y (*.f64 -1 (pow.f64 y 4))))) |
1 |
(-.f64 1 (/.f64 1 y)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) |
1 |
(-.f64 1 (/.f64 1 y)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) |
| Outputs |
|---|
y |
(+.f64 (*.f64 -1 (pow.f64 y 2)) y) |
(fma.f64 -1 (*.f64 y y) y) |
(-.f64 y (*.f64 y y)) |
(fma.f64 y (neg.f64 y) y) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 3) y)) |
(fma.f64 -1 (*.f64 y y) (+.f64 y (pow.f64 y 3))) |
(+.f64 y (*.f64 (*.f64 y y) (+.f64 -1 y))) |
(fma.f64 (*.f64 y y) (+.f64 y -1) y) |
(fma.f64 y (*.f64 y (+.f64 y -1)) y) |
(fma.f64 y (fma.f64 y y (neg.f64 y)) y) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 3) (+.f64 y (*.f64 -1 (pow.f64 y 4))))) |
(fma.f64 -1 (*.f64 y y) (+.f64 (pow.f64 y 3) (+.f64 y (neg.f64 (pow.f64 y 4))))) |
(+.f64 (-.f64 y (pow.f64 y 4)) (*.f64 (*.f64 y y) (+.f64 -1 y))) |
(-.f64 (fma.f64 (*.f64 y y) (+.f64 y -1) y) (pow.f64 y 4)) |
(*.f64 (fma.f64 y y 1) (-.f64 y (*.f64 y y))) |
(*.f64 (-.f64 1 y) (+.f64 y (pow.f64 y 3))) |
1 |
(-.f64 1 (/.f64 1 y)) |
(+.f64 1 (/.f64 -1 y)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y)) |
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 1 (/.f64 1 y))) |
(+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 1 (*.f64 y y))) |
(+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 y y))) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) |
(+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 -1 y) (/.f64 -1 (pow.f64 y 3))))) |
(+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 -1 (pow.f64 y 3)))) |
(+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (-.f64 1 (/.f64 1 y)) (/.f64 -1 (pow.f64 y 3)))) |
1 |
(-.f64 1 (/.f64 1 y)) |
(+.f64 1 (/.f64 -1 y)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y)) |
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 1 (/.f64 1 y))) |
(+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 1 (*.f64 y y))) |
(+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 y y))) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) |
(+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 -1 y) (/.f64 -1 (pow.f64 y 3))))) |
(+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 -1 (pow.f64 y 3)))) |
(+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (-.f64 1 (/.f64 1 y)) (/.f64 -1 (pow.f64 y 3)))) |
Compiled 13 to 6 computations (53.8% saved)
Compiled 7 to 3 computations (57.1% saved)
Compiled 843 to 613 computations (27.3% saved)
10 alts after pruning (4 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 81 | 3 | 84 |
| Fresh | 2 | 1 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 83 | 10 | 93 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 x y) (+.f64 y 1)) |
| ✓ | 54.8b | (/.f64 x y) |
| ✓ | 30.4b | (*.f64 (/.f64 1 (+.f64 y 1)) y) |
| 40.4b | x | |
| ✓ | 32.9b | (/.f64 x (+.f64 y 1)) |
| 38.0b | 1 | |
| ✓ | 30.4b | (/.f64 y (+.f64 y 1)) |
| ✓ | 30.5b | (+.f64 1 (/.f64 x y)) |
| ▶ | 55.1b | (*.f64 (-.f64 1 y) y) |
| 54.6b | y |
Compiled 60 to 43 computations (28.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (-.f64 1 y) y) |
Compiled 12 to 8 computations (33.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (*.f64 (-.f64 1 y) y) |
| 1.0ms | y | @ | inf | (*.f64 (-.f64 1 y) y) |
| 0.0ms | y | @ | 0 | (*.f64 (-.f64 1 y) y) |
| 1× | batch-egg-rewrite |
| 529× | pow1_binary64 |
| 513× | add-sqr-sqrt_binary64 |
| 493× | add-log-exp_binary64 |
| 493× | log1p-expm1-u_binary64 |
| 493× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 103 | 7 |
| 2 | 1297 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (-.f64 1 y) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (-.f64 1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 y 3)) y) (+.f64 1 (fma.f64 y y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 y y)) y) (+.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (pow.f64 y 3))) (+.f64 1 (fma.f64 y y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (*.f64 y y))) (+.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (-.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (-.f64 1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (-.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (-.f64 1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (-.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (-.f64 1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (-.f64 1 y)))))))) |
| 1× | egg-herbie |
| 885× | fma-neg_binary64 |
| 609× | associate-*l*_binary64 |
| 455× | unswap-sqr_binary64 |
| 439× | cancel-sign-sub-inv_binary64 |
| 417× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 85 |
| 1 | 16 | 76 |
| 2 | 33 | 76 |
| 3 | 73 | 76 |
| 4 | 202 | 76 |
| 5 | 759 | 76 |
| 6 | 3579 | 76 |
| 1× | node limit |
| Inputs |
|---|
y |
(+.f64 (*.f64 -1 (pow.f64 y 2)) y) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) y) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) y) |
(*.f64 -1 (pow.f64 y 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) y) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) y) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) y) |
(*.f64 -1 (pow.f64 y 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) y) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) y) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) y) |
| Outputs |
|---|
y |
(+.f64 (*.f64 -1 (pow.f64 y 2)) y) |
(fma.f64 -1 (*.f64 y y) y) |
(-.f64 y (*.f64 y y)) |
(fma.f64 y (neg.f64 y) y) |
(*.f64 y (-.f64 1 y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) y) |
(fma.f64 -1 (*.f64 y y) y) |
(-.f64 y (*.f64 y y)) |
(fma.f64 y (neg.f64 y) y) |
(*.f64 y (-.f64 1 y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) y) |
(fma.f64 -1 (*.f64 y y) y) |
(-.f64 y (*.f64 y y)) |
(fma.f64 y (neg.f64 y) y) |
(*.f64 y (-.f64 1 y)) |
(*.f64 -1 (pow.f64 y 2)) |
(neg.f64 (*.f64 y y)) |
(*.f64 y (neg.f64 y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) y) |
(fma.f64 -1 (*.f64 y y) y) |
(-.f64 y (*.f64 y y)) |
(fma.f64 y (neg.f64 y) y) |
(*.f64 y (-.f64 1 y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) y) |
(fma.f64 -1 (*.f64 y y) y) |
(-.f64 y (*.f64 y y)) |
(fma.f64 y (neg.f64 y) y) |
(*.f64 y (-.f64 1 y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) y) |
(fma.f64 -1 (*.f64 y y) y) |
(-.f64 y (*.f64 y y)) |
(fma.f64 y (neg.f64 y) y) |
(*.f64 y (-.f64 1 y)) |
(*.f64 -1 (pow.f64 y 2)) |
(neg.f64 (*.f64 y y)) |
(*.f64 y (neg.f64 y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) y) |
(fma.f64 -1 (*.f64 y y) y) |
(-.f64 y (*.f64 y y)) |
(fma.f64 y (neg.f64 y) y) |
(*.f64 y (-.f64 1 y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) y) |
(fma.f64 -1 (*.f64 y y) y) |
(-.f64 y (*.f64 y y)) |
(fma.f64 y (neg.f64 y) y) |
(*.f64 y (-.f64 1 y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) y) |
(fma.f64 -1 (*.f64 y y) y) |
(-.f64 y (*.f64 y y)) |
(fma.f64 y (neg.f64 y) y) |
(*.f64 y (-.f64 1 y)) |
Compiled 171 to 112 computations (34.5% saved)
10 alts after pruning (3 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 22 | 0 | 22 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 6 | 6 |
| Total | 22 | 10 | 32 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 x y) (+.f64 y 1)) |
| ✓ | 54.8b | (/.f64 x y) |
| ✓ | 30.4b | (*.f64 (/.f64 1 (+.f64 y 1)) y) |
| 40.4b | x | |
| ✓ | 32.9b | (/.f64 x (+.f64 y 1)) |
| 38.0b | 1 | |
| ✓ | 30.4b | (/.f64 y (+.f64 y 1)) |
| ✓ | 30.5b | (+.f64 1 (/.f64 x y)) |
| ✓ | 55.1b | (*.f64 (-.f64 1 y) y) |
| 54.6b | y |
Compiled 60 to 43 computations (28.3% saved)
| Inputs |
|---|
1 |
y |
1 |
y |
x |
x |
1 |
(/.f64 x y) |
(*.f64 (-.f64 1 y) y) |
(+.f64 1 (/.f64 x y)) |
(/.f64 y (+.f64 y 1)) |
(/.f64 x (+.f64 y 1)) |
(*.f64 (/.f64 1 (+.f64 y 1)) y) |
(+.f64 1 (/.f64 (+.f64 x -1) y)) |
(/.f64 (+.f64 x y) (+.f64 y 1)) |
(*.f64 (/.f64 1 (+.f64 y 1)) (+.f64 x y)) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y 1)) |
3 calls:
| 17.0ms | x |
| 8.0ms | y |
| 8.0ms | (/.f64 (+.f64 x y) (+.f64 y 1)) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | (/.f64 (+.f64 x y) (+.f64 y 1)) |
Compiled 77 to 46 computations (40.3% saved)
| Inputs |
|---|
1 |
y |
1 |
y |
x |
x |
1 |
(/.f64 x y) |
(*.f64 (-.f64 1 y) y) |
(+.f64 1 (/.f64 x y)) |
(/.f64 y (+.f64 y 1)) |
(/.f64 x (+.f64 y 1)) |
(*.f64 (/.f64 1 (+.f64 y 1)) y) |
(+.f64 1 (/.f64 (+.f64 x -1) y)) |
| Outputs |
|---|
(+.f64 1 (/.f64 (+.f64 x -1) y)) |
(/.f64 x (+.f64 y 1)) |
(+.f64 1 (/.f64 (+.f64 x -1) y)) |
2 calls:
| 91.0ms | y |
| 88.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 13.1b | 3 | x |
| 8.3b | 3 | y |
Compiled 52 to 31 computations (40.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 30.0ms | 1412.8023540444538 | 15809448480842.102 |
| 37.0ms | -1915735.7494408549 | -326.28604368570376 |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
1 |
y |
1 |
y |
x |
x |
1 |
(/.f64 x y) |
(*.f64 (-.f64 1 y) y) |
(+.f64 1 (/.f64 x y)) |
(/.f64 y (+.f64 y 1)) |
(/.f64 x (+.f64 y 1)) |
(*.f64 (/.f64 1 (+.f64 y 1)) y) |
| Outputs |
|---|
(+.f64 1 (/.f64 x y)) |
(/.f64 x (+.f64 y 1)) |
(+.f64 1 (/.f64 x y)) |
2 calls:
| 78.0ms | x |
| 45.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 13.1b | 3 | x |
| 8.4b | 3 | y |
Compiled 45 to 26 computations (42.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 35.0ms | 1412.8023540444538 | 15809448480842.102 |
| 34.0ms | -1915735.7494408549 | -326.28604368570376 |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
1 |
y |
1 |
y |
x |
x |
1 |
(/.f64 x y) |
(*.f64 (-.f64 1 y) y) |
(+.f64 1 (/.f64 x y)) |
(/.f64 y (+.f64 y 1)) |
| Outputs |
|---|
(+.f64 1 (/.f64 x y)) |
(/.f64 y (+.f64 y 1)) |
x |
(+.f64 1 (/.f64 x y)) |
2 calls:
| 64.0ms | x |
| 54.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 17.0b | 6 | x |
| 8.0b | 4 | y |
Compiled 33 to 18 computations (45.5% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 2.10419840433756e-29 | 9.404374742966975e-24 |
| 19.0ms | -3.889659591894729e-61 | -2.1907880344166354e-63 |
| 19.0ms | -8.599753294949582e+21 | -1561237955096826.0 |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
1 |
y |
1 |
y |
x |
x |
1 |
(/.f64 x y) |
(*.f64 (-.f64 1 y) y) |
(+.f64 1 (/.f64 x y)) |
| Outputs |
|---|
(+.f64 1 (/.f64 x y)) |
x |
(+.f64 1 (/.f64 x y)) |
2 calls:
| 128.0ms | x |
| 37.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 22.6b | 10 | x |
| 9.0b | 3 | y |
Compiled 28 to 15 computations (46.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 29.0ms | 2.10419840433756e-29 | 9.404374742966975e-24 |
| 33.0ms | -326.28604368570376 | -2.044825873351752e-6 |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
1 |
y |
1 |
y |
x |
x |
1 |
(/.f64 x y) |
(*.f64 (-.f64 1 y) y) |
| Outputs |
|---|
1 |
x |
1 |
2 calls:
| 95.0ms | x |
| 71.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 25.2b | 8 | x |
| 16.8b | 3 | y |
Compiled 23 to 13 computations (43.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 1412.8023540444538 | 15809448480842.102 |
| 33.0ms | -326.28604368570376 | -2.044825873351752e-6 |
Compiled 14 to 10 computations (28.6% saved)
Total -31.3b remaining (-101.2%)
Threshold costs -31.3b (-101.2%)
| Inputs |
|---|
1 |
y |
1 |
y |
| Outputs |
|---|
1 |
y |
1 |
2 calls:
| 28.0ms | y |
| 20.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 36.0b | 5 | x |
| 30.9b | 3 | y |
Compiled 12 to 8 computations (33.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 384.6930459884361 | 1412.8023540444538 |
| 57.0ms | -1915735.7494408549 | -326.28604368570376 |
Compiled 14 to 10 computations (28.6% saved)
| 1× | egg-herbie |
| 5× | +-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 180 |
| 1 | 49 | 180 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y 1)) |
(if (<=.f64 y -4114011195813261/2147483648) (+.f64 1 (/.f64 (+.f64 x -1) y)) (if (<=.f64 y 776696308010591/549755813888) (/.f64 x (+.f64 y 1)) (+.f64 1 (/.f64 (+.f64 x -1) y)))) |
(if (<=.f64 y -4114011195813261/2147483648) (+.f64 1 (/.f64 x y)) (if (<=.f64 y 776696308010591/549755813888) (/.f64 x (+.f64 y 1)) (+.f64 1 (/.f64 x y)))) |
(if (<=.f64 y -8599753294949582372864) (+.f64 1 (/.f64 x y)) (if (<=.f64 y -5629897632093217/14474011154664524427946373126085988481658748083205070504932198000989141204992) (/.f64 y (+.f64 y 1)) (if (<=.f64 y 3754015396982931/178405961588244985132285746181186892047843328) x (+.f64 1 (/.f64 x y))))) |
(if (<=.f64 y -5740084784215347/17592186044416) (+.f64 1 (/.f64 x y)) (if (<=.f64 y 3754015396982931/178405961588244985132285746181186892047843328) x (+.f64 1 (/.f64 x y)))) |
(if (<=.f64 y -5740084784215347/17592186044416) 1 (if (<=.f64 y 776696308010591/549755813888) x 1)) |
(if (<=.f64 y -4114011195813261/2147483648) 1 (if (<=.f64 y 422974477188853/1099511627776) y 1)) |
1 |
| Outputs |
|---|
(/.f64 (+.f64 x y) (+.f64 y 1)) |
(if (<=.f64 y -4114011195813261/2147483648) (+.f64 1 (/.f64 (+.f64 x -1) y)) (if (<=.f64 y 776696308010591/549755813888) (/.f64 x (+.f64 y 1)) (+.f64 1 (/.f64 (+.f64 x -1) y)))) |
(if (<=.f64 y -4114011195813261/2147483648) (+.f64 1 (/.f64 x y)) (if (<=.f64 y 776696308010591/549755813888) (/.f64 x (+.f64 y 1)) (+.f64 1 (/.f64 x y)))) |
(if (<=.f64 y -8599753294949582372864) (+.f64 1 (/.f64 x y)) (if (<=.f64 y -5629897632093217/14474011154664524427946373126085988481658748083205070504932198000989141204992) (/.f64 y (+.f64 y 1)) (if (<=.f64 y 3754015396982931/178405961588244985132285746181186892047843328) x (+.f64 1 (/.f64 x y))))) |
(if (<=.f64 y -5740084784215347/17592186044416) (+.f64 1 (/.f64 x y)) (if (<=.f64 y 3754015396982931/178405961588244985132285746181186892047843328) x (+.f64 1 (/.f64 x y)))) |
(if (<=.f64 y -5740084784215347/17592186044416) 1 (if (<=.f64 y 776696308010591/549755813888) x 1)) |
(if (<=.f64 y -4114011195813261/2147483648) 1 (if (<=.f64 y 422974477188853/1099511627776) y 1)) |
1 |
Compiled 143 to 98 computations (31.5% saved)
Compiled 129 to 82 computations (36.4% saved)
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