Time bar (total: 2.7s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 25% | 74.9% | 0.1% | 5 |
| 37.5% | 62.4% | 0.1% | 6 |
| 50% | 46.8% | 3.2% | 7 |
| 59.3% | 35.9% | 4.8% | 8 |
| 67.1% | 25.8% | 7.1% | 9 |
| 72.6% | 19.1% | 8.3% | 10 |
| 76.9% | 13.5% | 9.7% | 11 |
| 79.8% | 9.9% | 10.3% | 12 |
Compiled 12 to 9 computations (25% saved)
| 830.0ms | 6741× | body | 256 | valid |
| 191.0ms | 687× | body | 1024 | valid |
| 127.0ms | 823× | body | 512 | valid |
| 21.0ms | 204× | body | 256 | invalid |
| 1.0ms | 5× | body | 2048 | valid |
| 2× | egg-herbie |
| 1017× | fma-def_binary64 |
| 740× | unsub-neg_binary64 |
| 526× | sub-neg_binary64 |
| 423× | distribute-neg-in_binary64 |
| 374× | associate--r+_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 26 |
| 1 | 19 | 22 |
| 2 | 42 | 22 |
| 3 | 132 | 22 |
| 4 | 512 | 16 |
| 5 | 2325 | 16 |
| 6 | 5811 | 16 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))) |
(+.f64 y (*.f64 (-.f64 1 y) (-.f64 1 x))) |
| Outputs |
|---|
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))) |
(fma.f64 (-.f64 1 x) (-.f64 1 y) x) |
(fma.f64 x y (-.f64 1 y)) |
(-.f64 (fma.f64 x y 1) y) |
(fma.f64 y (+.f64 x -1) 1) |
(+.f64 y (*.f64 (-.f64 1 y) (-.f64 1 x))) |
(+.f64 y (*.f64 (-.f64 1 x) (-.f64 1 y))) |
(fma.f64 (-.f64 1 x) (-.f64 1 y) y) |
(fma.f64 x y (-.f64 1 x)) |
(-.f64 (fma.f64 x y 1) x) |
Compiled 13 to 10 computations (23.1% saved)
| 1× | egg-herbie |
| 850× | unsub-neg_binary64 |
| 737× | fma-def_binary64 |
| 388× | sub-neg_binary64 |
| 382× | distribute-neg-in_binary64 |
| 267× | +-commutative_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 16 | 11 |
| 2 | 37 | 11 |
| 3 | 113 | 11 |
| 4 | 409 | 8 |
| 5 | 1773 | 8 |
| 6 | 4157 | 8 |
| 7 | 5814 | 8 |
| 8 | 6531 | 8 |
| 9 | 6794 | 8 |
| 10 | 6952 | 8 |
| 11 | 7050 | 8 |
| 12 | 7213 | 8 |
| 13 | 7599 | 8 |
| 14 | 7812 | 8 |
| 15 | 7964 | 8 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))) |
| Outputs |
|---|
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))) |
(fma.f64 (-.f64 1 x) (-.f64 1 y) x) |
(fma.f64 x y (-.f64 1 y)) |
(-.f64 (fma.f64 x y 1) y) |
Compiled 17 to 11 computations (35.3% 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 |
|---|---|---|
| ▶ | 21.2b | (+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))) |
| ▶ | 0b | (-.f64 (fma.f64 x y 1) y) |
Compiled 19 to 13 computations (31.6% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (-.f64 1 x) (-.f64 1 y)) |
| ✓ | 1.7b | (+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))) |
Compiled 27 to 18 computations (33.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))) |
| 1.0ms | x | @ | 0 | (+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))) |
| 1.0ms | y | @ | -inf | (+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))) |
| 1.0ms | y | @ | inf | (+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))) |
| 0.0ms | x | @ | -inf | (+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))) |
| 1× | batch-egg-rewrite |
| 433× | log-prod_binary64 |
| 394× | prod-exp_binary64 |
| 356× | fma-def_binary64 |
| 329× | exp-prod_binary64 |
| 323× | pow-prod-down_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 23 |
| 1 | 180 | 21 |
| 2 | 2620 | 21 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))) |
(*.f64 (-.f64 1 x) (-.f64 1 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))) (/.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2) (-.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 1 x) (-.f64 1 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)) 2) (cbrt.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)) (sqrt.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3)) (/.f64 1 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2)) (/.f64 1 (-.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3)) (fma.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3)) (+.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (-.f64 1 x)) (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2)) (-.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3))) (neg.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2))) (neg.f64 (-.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2) (*.f64 x x)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x))) 2)) (cbrt.f64 (log.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)))) (sqrt.f64 (log.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) (-.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) (-.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 1 y)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (-.f64 1 x) (-.f64 1 y) x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 (-.f64 1 x) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (-.f64 1 x) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (-.f64 1 x) (-.f64 1 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 x) (-.f64 1 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 y) (-.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (-.f64 1 x) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (-.f64 1 x) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 y) 2)) (*.f64 (cbrt.f64 (-.f64 1 y)) (-.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 1 y))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 1 y))) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 1 y))) 2) (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 1 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) (-.f64 1 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 1 x) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 y)) (*.f64 (sqrt.f64 (-.f64 1 y)) (-.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 1 y))) (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 1 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (-.f64 1 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 x) (cbrt.f64 (pow.f64 (-.f64 1 y) 2))) (cbrt.f64 (-.f64 1 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 x) (sqrt.f64 (-.f64 1 y))) (sqrt.f64 (-.f64 1 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 y) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 y) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) x))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 x) (*.f64 (neg.f64 y) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 x) (*.f64 (-.f64 1 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 y) (*.f64 (neg.f64 x) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 y) (*.f64 (-.f64 1 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 x) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 1 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 1 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (-.f64 1 (pow.f64 y 3))) (*.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 1 (fma.f64 y y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 y 3))) (*.f64 (+.f64 x 1) (+.f64 1 (fma.f64 y y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (-.f64 1 (*.f64 y y))) (*.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (*.f64 y y))) (*.f64 (+.f64 x 1) (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 y 3)) (-.f64 1 (pow.f64 x 3))) (*.f64 (+.f64 1 (fma.f64 y y y)) (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 y y)) (-.f64 1 (pow.f64 x 3))) (*.f64 (+.f64 1 y) (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 y 3)) (-.f64 1 (*.f64 x x))) (*.f64 (+.f64 1 (fma.f64 y y y)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 y y)) (-.f64 1 (*.f64 x x))) (*.f64 (+.f64 1 y) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (-.f64 1 y)) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 y)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 y 3)) (-.f64 1 x)) (+.f64 1 (fma.f64 y y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 y y)) (-.f64 1 x)) (+.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) (-.f64 1 (pow.f64 y 3))) (+.f64 1 (fma.f64 y y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) (+.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 y) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 y) (-.f64 1 (*.f64 x x))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (+.f64 (log1p.f64 (neg.f64 y)) (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (neg.f64 y)) (log1p.f64 (neg.f64 x)))) 2)) (cbrt.f64 (+.f64 (log1p.f64 (neg.f64 y)) (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (+.f64 (log1p.f64 (neg.f64 y)) (log1p.f64 (neg.f64 x))))) (sqrt.f64 (+.f64 (log1p.f64 (neg.f64 y)) (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 x) (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 x) (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (neg.f64 y)) (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 (neg.f64 y)) (log1p.f64 (neg.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 1 y)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (+.f64 (log1p.f64 (neg.f64 y)) (log1p.f64 (neg.f64 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (+.f64 (log1p.f64 (neg.f64 y)) (log1p.f64 (neg.f64 x))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1) (log1p.f64 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (neg.f64 x)) (*.f64 (log1p.f64 (neg.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1) (*.f64 (log1p.f64 (neg.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 y)) 1) (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (neg.f64 y)) (*.f64 (log1p.f64 (neg.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log1p.f64 (neg.f64 y)) 1) (*.f64 (log1p.f64 (neg.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 x) (*.f64 (neg.f64 y) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 x) (*.f64 (-.f64 1 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 y) (*.f64 (neg.f64 x) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 y) (*.f64 (-.f64 1 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 x) 1 (*.f64 (neg.f64 y) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 x) 1 (*.f64 (-.f64 1 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 y) 1 (*.f64 (neg.f64 x) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 y) 1 (*.f64 (-.f64 1 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (pow.f64 (-.f64 1 y) 2)) (*.f64 (neg.f64 x) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (pow.f64 (-.f64 1 y) 2)) (*.f64 (-.f64 1 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 y) 2)) (cbrt.f64 (-.f64 1 y)) (*.f64 (neg.f64 x) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 y) 2)) (cbrt.f64 (-.f64 1 y)) (*.f64 (-.f64 1 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (neg.f64 y) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (-.f64 1 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 x)) (*.f64 (neg.f64 y) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 x)) (*.f64 (-.f64 1 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 y)) (sqrt.f64 (-.f64 1 y)) (*.f64 (neg.f64 x) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 y)) (sqrt.f64 (-.f64 1 y)) (*.f64 (-.f64 1 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (*.f64 (neg.f64 y) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (*.f64 (-.f64 1 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 y 3)) (/.f64 1 (+.f64 1 (fma.f64 y y y))) (*.f64 (neg.f64 x) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 y 3)) (/.f64 1 (+.f64 1 (fma.f64 y y y))) (*.f64 (-.f64 1 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 1 (+.f64 1 (fma.f64 x x x))) (*.f64 (neg.f64 y) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 1 (+.f64 1 (fma.f64 x x x))) (*.f64 (-.f64 1 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 y y)) (/.f64 1 (+.f64 1 y)) (*.f64 (neg.f64 x) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 y y)) (/.f64 1 (+.f64 1 y)) (*.f64 (-.f64 1 y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x 1)) (*.f64 (neg.f64 y) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x 1)) (*.f64 (-.f64 1 x) (neg.f64 y))))))) |
| 1× | egg-herbie |
| 837× | unsub-neg_binary64 |
| 614× | fma-neg_binary64 |
| 550× | distribute-neg-in_binary64 |
| 499× | sub-neg_binary64 |
| 452× | associate--l-_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 667 |
| 1 | 63 | 573 |
| 2 | 163 | 387 |
| 3 | 446 | 387 |
| 4 | 1496 | 387 |
| 5 | 3795 | 387 |
| 6 | 5351 | 387 |
| 7 | 6675 | 387 |
| 8 | 7052 | 387 |
| 9 | 7218 | 387 |
| 10 | 7276 | 387 |
| 11 | 7351 | 387 |
| 12 | 7932 | 387 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 y) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y) |
(*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y) |
(*.f64 y x) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
1 |
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) |
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) |
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) |
(*.f64 -1 (*.f64 y (-.f64 1 x))) |
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) |
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) |
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) |
(*.f64 -1 (*.f64 y (-.f64 1 x))) |
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) |
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) |
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) |
(-.f64 1 y) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 y) x)) 1) y) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 y) x)) 1) y) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 y) x)) 1) y) |
(*.f64 -1 (*.f64 (-.f64 1 y) x)) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y) |
(*.f64 -1 (*.f64 (-.f64 1 y) x)) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y) |
(-.f64 1 x) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x) |
(*.f64 -1 (*.f64 y (-.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x) |
(*.f64 -1 (*.f64 y (-.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x) |
| Outputs |
|---|
(-.f64 1 y) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y) |
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y) |
(fma.f64 y x (-.f64 1 y)) |
(-.f64 (fma.f64 y x 1) y) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y) |
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y) |
(fma.f64 y x (-.f64 1 y)) |
(-.f64 (fma.f64 y x 1) y) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y) |
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y) |
(fma.f64 y x (-.f64 1 y)) |
(-.f64 (fma.f64 y x 1) y) |
(*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x) |
(*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x) |
(*.f64 (-.f64 1 (-.f64 1 y)) x) |
(*.f64 y x) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y) |
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y) |
(fma.f64 y x (-.f64 1 y)) |
(-.f64 (fma.f64 y x 1) y) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y) |
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y) |
(fma.f64 y x (-.f64 1 y)) |
(-.f64 (fma.f64 y x 1) y) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1 (-.f64 1 y))) x)) y) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y) |
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y) |
(fma.f64 y x (-.f64 1 y)) |
(-.f64 (fma.f64 y x 1) y) |
(*.f64 y x) |
(*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x) |
(*.f64 (-.f64 1 (-.f64 1 y)) x) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y) |
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y) |
(fma.f64 y x (-.f64 1 y)) |
(-.f64 (fma.f64 y x 1) y) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y) |
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y) |
(fma.f64 y x (-.f64 1 y)) |
(-.f64 (fma.f64 y x 1) y) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y) |
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y) |
(fma.f64 y x (-.f64 1 y)) |
(-.f64 (fma.f64 y x 1) y) |
1 |
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y) |
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y) |
(fma.f64 y x (-.f64 1 y)) |
(-.f64 (fma.f64 y x 1) y) |
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y) |
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y) |
(fma.f64 y x (-.f64 1 y)) |
(-.f64 (fma.f64 y x 1) y) |
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y) |
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y) |
(fma.f64 y x (-.f64 1 y)) |
(-.f64 (fma.f64 y x 1) y) |
(*.f64 -1 (*.f64 y (-.f64 1 x))) |
(neg.f64 (*.f64 y (-.f64 1 x))) |
(*.f64 (-.f64 1 x) (neg.f64 y)) |
(-.f64 (*.f64 y x) y) |
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y) |
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y) |
(fma.f64 y x (-.f64 1 y)) |
(-.f64 (fma.f64 y x 1) y) |
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y) |
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y) |
(fma.f64 y x (-.f64 1 y)) |
(-.f64 (fma.f64 y x 1) y) |
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y) |
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y) |
(fma.f64 y x (-.f64 1 y)) |
(-.f64 (fma.f64 y x 1) y) |
(*.f64 -1 (*.f64 y (-.f64 1 x))) |
(neg.f64 (*.f64 y (-.f64 1 x))) |
(*.f64 (-.f64 1 x) (neg.f64 y)) |
(-.f64 (*.f64 y x) y) |
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y) |
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y) |
(fma.f64 y x (-.f64 1 y)) |
(-.f64 (fma.f64 y x 1) y) |
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y) |
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y) |
(fma.f64 y x (-.f64 1 y)) |
(-.f64 (fma.f64 y x 1) y) |
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) |
(-.f64 (+.f64 1 (*.f64 (+.f64 1 (neg.f64 (-.f64 1 y))) x)) y) |
(-.f64 (fma.f64 (-.f64 1 (-.f64 1 y)) x 1) y) |
(fma.f64 y x (-.f64 1 y)) |
(-.f64 (fma.f64 y x 1) y) |
(-.f64 1 y) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 y) x)) 1) y) |
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y) |
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y)) |
(*.f64 (-.f64 1 x) (-.f64 1 y)) |
(*.f64 (-.f64 1 y) (-.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 y) x)) 1) y) |
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y) |
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y)) |
(*.f64 (-.f64 1 x) (-.f64 1 y)) |
(*.f64 (-.f64 1 y) (-.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 1 y) x)) 1) y) |
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y) |
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y)) |
(*.f64 (-.f64 1 x) (-.f64 1 y)) |
(*.f64 (-.f64 1 y) (-.f64 1 x)) |
(*.f64 -1 (*.f64 (-.f64 1 y) x)) |
(*.f64 (neg.f64 (-.f64 1 y)) x) |
(*.f64 (-.f64 1 y) (neg.f64 x)) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y) |
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y) |
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y)) |
(*.f64 (-.f64 1 x) (-.f64 1 y)) |
(*.f64 (-.f64 1 y) (-.f64 1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y) |
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y) |
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y)) |
(*.f64 (-.f64 1 x) (-.f64 1 y)) |
(*.f64 (-.f64 1 y) (-.f64 1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y) |
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y) |
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y)) |
(*.f64 (-.f64 1 x) (-.f64 1 y)) |
(*.f64 (-.f64 1 y) (-.f64 1 x)) |
(*.f64 -1 (*.f64 (-.f64 1 y) x)) |
(*.f64 (neg.f64 (-.f64 1 y)) x) |
(*.f64 (-.f64 1 y) (neg.f64 x)) |
(*.f64 (+.f64 y -1) x) |
(-.f64 (*.f64 y x) x) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y) |
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y) |
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y)) |
(*.f64 (-.f64 1 x) (-.f64 1 y)) |
(*.f64 (-.f64 1 y) (-.f64 1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y) |
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y) |
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y)) |
(*.f64 (-.f64 1 x) (-.f64 1 y)) |
(*.f64 (-.f64 1 y) (-.f64 1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 (-.f64 1 y) x))) y) |
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y) |
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y)) |
(*.f64 (-.f64 1 x) (-.f64 1 y)) |
(*.f64 (-.f64 1 y) (-.f64 1 x)) |
(-.f64 1 x) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x) |
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y) |
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y)) |
(*.f64 (-.f64 1 x) (-.f64 1 y)) |
(*.f64 (-.f64 1 y) (-.f64 1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x) |
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y) |
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y)) |
(*.f64 (-.f64 1 x) (-.f64 1 y)) |
(*.f64 (-.f64 1 y) (-.f64 1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x) |
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y) |
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y)) |
(*.f64 (-.f64 1 x) (-.f64 1 y)) |
(*.f64 (-.f64 1 y) (-.f64 1 x)) |
(*.f64 -1 (*.f64 y (-.f64 1 x))) |
(neg.f64 (*.f64 y (-.f64 1 x))) |
(*.f64 (-.f64 1 x) (neg.f64 y)) |
(-.f64 (*.f64 y x) y) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x) |
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y) |
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y)) |
(*.f64 (-.f64 1 x) (-.f64 1 y)) |
(*.f64 (-.f64 1 y) (-.f64 1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x) |
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y) |
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y)) |
(*.f64 (-.f64 1 x) (-.f64 1 y)) |
(*.f64 (-.f64 1 y) (-.f64 1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x) |
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y) |
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y)) |
(*.f64 (-.f64 1 x) (-.f64 1 y)) |
(*.f64 (-.f64 1 y) (-.f64 1 x)) |
(*.f64 -1 (*.f64 y (-.f64 1 x))) |
(neg.f64 (*.f64 y (-.f64 1 x))) |
(*.f64 (-.f64 1 x) (neg.f64 y)) |
(-.f64 (*.f64 y x) y) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x) |
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y) |
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y)) |
(*.f64 (-.f64 1 x) (-.f64 1 y)) |
(*.f64 (-.f64 1 y) (-.f64 1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x) |
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y) |
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y)) |
(*.f64 (-.f64 1 x) (-.f64 1 y)) |
(*.f64 (-.f64 1 y) (-.f64 1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) x) |
(-.f64 (fma.f64 -1 (*.f64 (-.f64 1 y) x) 1) y) |
(fma.f64 (neg.f64 (-.f64 1 y)) x (-.f64 1 y)) |
(*.f64 (-.f64 1 x) (-.f64 1 y)) |
(*.f64 (-.f64 1 y) (-.f64 1 x)) |
Compiled 15 to 8 computations (46.7% saved)
Compiled 2528 to 1661 computations (34.3% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 157 | 5 | 162 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 159 | 5 | 164 |
| Status | Error | Program |
|---|---|---|
| ▶ | 18.7b | (-.f64 1 y) |
| ▶ | 28.5b | (-.f64 (*.f64 y x) y) |
| 34.7b | 1 | |
| ▶ | 0b | (-.f64 (+.f64 1 (*.f64 y x)) y) |
| ▶ | 44.5b | (*.f64 y x) |
Compiled 29 to 20 computations (31% saved)
Compiled 7 to 3 computations (57.1% saved)
Compiled 7 to 5 computations (28.6% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (*.f64 y x) y) |
Compiled 12 to 4 computations (66.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (-.f64 (*.f64 y x) y) |
| 1.0ms | y | @ | inf | (-.f64 (*.f64 y x) y) |
| 0.0ms | y | @ | -inf | (-.f64 (*.f64 y x) y) |
| 0.0ms | x | @ | inf | (-.f64 (*.f64 y x) y) |
| 0.0ms | x | @ | 0 | (-.f64 (*.f64 y x) y) |
| 1× | batch-egg-rewrite |
| 628× | pow1_binary64 |
| 584× | add-log-exp_binary64 |
| 584× | log1p-expm1-u_binary64 |
| 584× | expm1-log1p-u_binary64 |
| 571× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 111 | 7 |
| 2 | 1573 | 7 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 y x) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (*.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y x) y) (fma.f64 (neg.f64 y) 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y x) y) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y x) y) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 y) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (-.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 y x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 y x) y)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) y)) 2) (cbrt.f64 (-.f64 (*.f64 y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 y x) y)) (sqrt.f64 (-.f64 (*.f64 y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y (fma.f64 y x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y y)) (/.f64 1 (fma.f64 y x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 y)) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y (fma.f64 y x y))) (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y x y) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y (fma.f64 y x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y y)) (fma.f64 y x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y (fma.f64 y x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y y))) (neg.f64 (fma.f64 y x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (neg.f64 y) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (*.f64 y x) (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (neg.f64 y) (neg.f64 y))) (-.f64 (*.f64 y x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 y x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 y x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 y x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 y x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (*.f64 y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 y x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y x) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (neg.f64 y)))))) |
| 1× | egg-herbie |
| 82× | fma-def_binary64 |
| 58× | fma-neg_binary64 |
| 20× | associate-*r*_binary64 |
| 18× | unsub-neg_binary64 |
| 17× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 158 |
| 1 | 37 | 158 |
| 2 | 88 | 158 |
| 3 | 180 | 158 |
| 4 | 299 | 158 |
| 5 | 396 | 158 |
| 6 | 424 | 158 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 y (-.f64 x 1)) |
(*.f64 y (-.f64 x 1)) |
(*.f64 y (-.f64 x 1)) |
(*.f64 y (-.f64 x 1)) |
(*.f64 y (-.f64 x 1)) |
(*.f64 y (-.f64 x 1)) |
(*.f64 y (-.f64 x 1)) |
(*.f64 y (-.f64 x 1)) |
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) |
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) |
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) |
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) |
(*.f64 -1 y) |
(+.f64 (*.f64 y x) (*.f64 -1 y)) |
(+.f64 (*.f64 y x) (*.f64 -1 y)) |
(+.f64 (*.f64 y x) (*.f64 -1 y)) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 y)) |
(+.f64 (*.f64 y x) (*.f64 -1 y)) |
(+.f64 (*.f64 y x) (*.f64 -1 y)) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 y)) |
(+.f64 (*.f64 y x) (*.f64 -1 y)) |
(+.f64 (*.f64 y x) (*.f64 -1 y)) |
| Outputs |
|---|
(*.f64 y (-.f64 x 1)) |
(*.f64 y (+.f64 x -1)) |
(-.f64 (*.f64 y x) y) |
(*.f64 y (-.f64 x 1)) |
(*.f64 y (+.f64 x -1)) |
(-.f64 (*.f64 y x) y) |
(*.f64 y (-.f64 x 1)) |
(*.f64 y (+.f64 x -1)) |
(-.f64 (*.f64 y x) y) |
(*.f64 y (-.f64 x 1)) |
(*.f64 y (+.f64 x -1)) |
(-.f64 (*.f64 y x) y) |
(*.f64 y (-.f64 x 1)) |
(*.f64 y (+.f64 x -1)) |
(-.f64 (*.f64 y x) y) |
(*.f64 y (-.f64 x 1)) |
(*.f64 y (+.f64 x -1)) |
(-.f64 (*.f64 y x) y) |
(*.f64 y (-.f64 x 1)) |
(*.f64 y (+.f64 x -1)) |
(-.f64 (*.f64 y x) y) |
(*.f64 y (-.f64 x 1)) |
(*.f64 y (+.f64 x -1)) |
(-.f64 (*.f64 y x) y) |
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) |
(*.f64 y (+.f64 x -1)) |
(-.f64 (*.f64 y x) y) |
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) |
(*.f64 y (+.f64 x -1)) |
(-.f64 (*.f64 y x) y) |
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) |
(*.f64 y (+.f64 x -1)) |
(-.f64 (*.f64 y x) y) |
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) |
(*.f64 y (+.f64 x -1)) |
(-.f64 (*.f64 y x) y) |
(*.f64 -1 y) |
(neg.f64 y) |
(+.f64 (*.f64 y x) (*.f64 -1 y)) |
(*.f64 y (+.f64 x -1)) |
(-.f64 (*.f64 y x) y) |
(+.f64 (*.f64 y x) (*.f64 -1 y)) |
(*.f64 y (+.f64 x -1)) |
(-.f64 (*.f64 y x) y) |
(+.f64 (*.f64 y x) (*.f64 -1 y)) |
(*.f64 y (+.f64 x -1)) |
(-.f64 (*.f64 y x) y) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 y)) |
(*.f64 y (+.f64 x -1)) |
(-.f64 (*.f64 y x) y) |
(+.f64 (*.f64 y x) (*.f64 -1 y)) |
(*.f64 y (+.f64 x -1)) |
(-.f64 (*.f64 y x) y) |
(+.f64 (*.f64 y x) (*.f64 -1 y)) |
(*.f64 y (+.f64 x -1)) |
(-.f64 (*.f64 y x) y) |
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 y)) |
(*.f64 y (+.f64 x -1)) |
(-.f64 (*.f64 y x) y) |
(+.f64 (*.f64 y x) (*.f64 -1 y)) |
(*.f64 y (+.f64 x -1)) |
(-.f64 (*.f64 y x) y) |
(+.f64 (*.f64 y x) (*.f64 -1 y)) |
(*.f64 y (+.f64 x -1)) |
(-.f64 (*.f64 y x) y) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1 (*.f64 y x)) |
Compiled 20 to 9 computations (55% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (+.f64 1 (*.f64 y x)) |
| 0.0ms | y | @ | 0 | (+.f64 1 (*.f64 y x)) |
| 0.0ms | y | @ | inf | (+.f64 1 (*.f64 y x)) |
| 0.0ms | x | @ | -inf | (+.f64 1 (*.f64 y x)) |
| 0.0ms | x | @ | inf | (+.f64 1 (*.f64 y x)) |
| 1× | batch-egg-rewrite |
| 602× | pow1_binary64 |
| 558× | add-log-exp_binary64 |
| 558× | log1p-expm1-u_binary64 |
| 558× | expm1-log1p-u_binary64 |
| 547× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 121 | 5 |
| 2 | 1515 | 5 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 1 (*.f64 y x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (*.f64 y x))) (/.f64 (pow.f64 (*.f64 y x) 2) (-.f64 1 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y x 1)) (pow.f64 (cbrt.f64 (fma.f64 y x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y x 1)) 2) (cbrt.f64 (fma.f64 y x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y x 1)) (sqrt.f64 (fma.f64 y x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (*.f64 y x) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (*.f64 y x) 2)) (/.f64 1 (-.f64 1 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y x))) (+.f64 1 (pow.f64 (*.f64 y x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (*.f64 y x)) (-.f64 1 (pow.f64 (*.f64 y x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 y x) 3)) (+.f64 1 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 y x) 3)) (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 1 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (*.f64 y x) 2)) (-.f64 1 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (*.f64 y x) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 y x) 2))) (neg.f64 (-.f64 1 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y x) 2) 1) (-.f64 (*.f64 y x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y x 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y x 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y x 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y x 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y x 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x y 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) 1))))) |
| 1× | egg-herbie |
| 1× | *-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 18 |
| 1 | 8 | 18 |
| 1× | saturated |
| Inputs |
|---|
1 |
(*.f64 y x) |
(*.f64 y x) |
1 |
(*.f64 y x) |
(*.f64 y x) |
| Outputs |
|---|
1 |
(*.f64 y x) |
(*.f64 y x) |
1 |
(*.f64 y x) |
(*.f64 y x) |
Compiled 908 to 409 computations (55% saved)
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 77 | 1 | 78 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 77 | 6 | 83 |
| Status | Error | Program |
|---|---|---|
| ✓ | 18.7b | (-.f64 1 y) |
| ▶ | 46.5b | (neg.f64 y) |
| ✓ | 28.5b | (-.f64 (*.f64 y x) y) |
| 34.7b | 1 | |
| ✓ | 0b | (-.f64 (+.f64 1 (*.f64 y x)) y) |
| ✓ | 44.5b | (*.f64 y x) |
Compiled 33 to 23 computations (30.3% saved)
Compiled 5 to 3 computations (40% saved)
Compiled 2 to 2 computations (0% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 0 | 6 | 6 |
| Status | Error | Program |
|---|---|---|
| ✓ | 18.7b | (-.f64 1 y) |
| ✓ | 46.5b | (neg.f64 y) |
| ✓ | 28.5b | (-.f64 (*.f64 y x) y) |
| 34.7b | 1 | |
| ✓ | 0b | (-.f64 (+.f64 1 (*.f64 y x)) y) |
| ✓ | 44.5b | (*.f64 y x) |
Compiled 33 to 23 computations (30.3% saved)
Compiled 2 to 2 computations (0% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 5 | 5 |
| Total | 0 | 6 | 6 |
| Status | Error | Program |
|---|---|---|
| ✓ | 18.7b | (-.f64 1 y) |
| ✓ | 46.5b | (neg.f64 y) |
| ✓ | 28.5b | (-.f64 (*.f64 y x) y) |
| 34.7b | 1 | |
| ✓ | 0b | (-.f64 (+.f64 1 (*.f64 y x)) y) |
| ✓ | 44.5b | (*.f64 y x) |
Compiled 33 to 23 computations (30.3% saved)
| Inputs |
|---|
1 |
(neg.f64 y) |
(-.f64 1 y) |
(*.f64 y x) |
(-.f64 (*.f64 y x) y) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))) |
(-.f64 (fma.f64 x y 1) y) |
| Outputs |
|---|
(-.f64 (+.f64 1 (*.f64 y x)) y) |
6 calls:
| 6.0ms | x |
| 5.0ms | y |
| 5.0ms | (+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))) |
| 4.0ms | (-.f64 1 y) |
| 4.0ms | (-.f64 1 y) |
| Error | Segments | Branch |
|---|---|---|
| 0b | 1 | x |
| 0b | 1 | y |
| 0b | 1 | (+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))) |
| 0b | 1 | (+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y))) |
| 0b | 1 | (-.f64 1 y) |
| 0b | 1 | (-.f64 1 y) |
Compiled 76 to 48 computations (36.8% saved)
| Inputs |
|---|
1 |
(neg.f64 y) |
(-.f64 1 y) |
(*.f64 y x) |
(-.f64 (*.f64 y x) y) |
| Outputs |
|---|
(*.f64 y x) |
(-.f64 1 y) |
(*.f64 y x) |
(-.f64 1 y) |
(*.f64 y x) |
4 calls:
| 29.0ms | x |
| 13.0ms | y |
| 13.0ms | (-.f64 1 y) |
| 10.0ms | (-.f64 1 y) |
| Error | Segments | Branch |
|---|---|---|
| 7.9b | 5 | x |
| 10.1b | 3 | y |
| 12.1b | 3 | (-.f64 1 y) |
| 12.1b | 3 | (-.f64 1 y) |
Compiled 32 to 20 computations (37.5% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 103.0ms | 1.9799673739975093e+147 | 1.2822997236893474e+148 |
| 81.0ms | 2.018849807945483e+109 | 2.96948768154426e+109 |
| 17.0ms | 5.389913826305364e+40 | 9.023444480529826e+47 |
| 102.0ms | -1.087296873016535e+135 | -1.8093044155332509e+118 |
Compiled 256 to 192 computations (25% saved)
| Inputs |
|---|
1 |
(neg.f64 y) |
(-.f64 1 y) |
| Outputs |
|---|
(-.f64 1 y) |
3 calls:
| 4.0ms | x |
| 4.0ms | y |
| 3.0ms | (-.f64 1 y) |
| Error | Segments | Branch |
|---|---|---|
| 18.7b | 1 | x |
| 18.7b | 1 | y |
| 18.7b | 1 | (-.f64 1 y) |
Compiled 19 to 14 computations (26.3% saved)
Total -42.8b remaining (-221.5%)
Threshold costs -42.8b (-221.5%)
| Inputs |
|---|
1 |
(neg.f64 y) |
| Outputs |
|---|
(neg.f64 y) |
1 |
(neg.f64 y) |
2 calls:
| 18.0ms | x |
| 9.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 31.5b | 5 | x |
| 19.3b | 3 | y |
Compiled 11 to 8 computations (27.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 1.1438132165957093e-11 | 1.072854371247516e-6 |
| 17.0ms | -2.750759389779098e-13 | -1.1212675597549934e-14 |
Compiled 16 to 12 computations (25% saved)
| 1× | egg-herbie |
| 4× | +-commutative_binary64 |
| 3× | sub-neg_binary64 |
| 2× | *-commutative_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 78 |
| 1 | 37 | 78 |
| 2 | 41 | 78 |
| 3 | 42 | 78 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(if (<=.f64 x -1050000000000000048686014943143169626043918640694157589101310958132413677812353856294763302501740353781196423064296630255048361016033280) (*.f64 y x) (if (<=.f64 x 53899138263053637539573847164523160535040) (-.f64 1 y) (if (<=.f64 x 20499999999999998480684187864637042336282572764710970754127717345637802378204808184934348993294699313850482688) (*.f64 y x) (if (<=.f64 x 12599999999999999651774074141793657791789377893231350809757601756991821309922477140844962742909066526195735385769793976814149246452881005759845892096) (-.f64 1 y) (*.f64 y x))))) |
(-.f64 1 y) |
(if (<=.f64 y -681055037409553/2475880078570760549798248448) (neg.f64 y) (if (<=.f64 y 1769965222859537/154742504910672534362390528) 1 (neg.f64 y))) |
1 |
| Outputs |
|---|
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(if (<=.f64 x -1050000000000000048686014943143169626043918640694157589101310958132413677812353856294763302501740353781196423064296630255048361016033280) (*.f64 y x) (if (<=.f64 x 53899138263053637539573847164523160535040) (-.f64 1 y) (if (<=.f64 x 20499999999999998480684187864637042336282572764710970754127717345637802378204808184934348993294699313850482688) (*.f64 y x) (if (<=.f64 x 12599999999999999651774074141793657791789377893231350809757601756991821309922477140844962742909066526195735385769793976814149246452881005759845892096) (-.f64 1 y) (*.f64 y x))))) |
(-.f64 1 y) |
(if (<=.f64 y -681055037409553/2475880078570760549798248448) (neg.f64 y) (if (<=.f64 y 1769965222859537/154742504910672534362390528) 1 (neg.f64 y))) |
1 |
Compiled 65 to 42 computations (35.4% saved)
Compiled 57 to 33 computations (42.1% saved)
Loading profile data...