Time bar (total: 1.8s)
| 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 |
| 56.2% | 39% | 4.8% | 8 |
| 62.4% | 27.3% | 10.2% | 9 |
| 65.6% | 22.2% | 12.2% | 10 |
| 68.7% | 14.6% | 16.7% | 11 |
| 70.2% | 11.8% | 18% | 12 |
| 71.8% | 7.6% | 20.6% | 13 |
| 72.6% | 6.1% | 21.3% | 14 |
Compiled 10 to 7 computations (30% saved)
| 711.0ms | 8256× | body | 128 | valid |
| 36.0ms | 450× | body | 128 | invalid |
| 2× | egg-herbie |
| 2× | +-commutative_binary64 |
| 2× | associate-/r*_binary64 |
| 2× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 20 |
| 1 | 18 | 20 |
| 2 | 20 | 20 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(-.f64 (/.f64 x (*.f64 y y)) 3) |
(-.f64 (/.f64 y (*.f64 x x)) 3) |
| Outputs |
|---|
(-.f64 (/.f64 x (*.f64 y y)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) -3) |
(-.f64 (/.f64 y (*.f64 x x)) 3) |
(+.f64 (/.f64 y (*.f64 x x)) -3) |
Compiled 9 to 6 computations (33.3% saved)
| 1× | egg-herbie |
| 1× | +-commutative_binary64 |
| 1× | associate-/r*_binary64 |
| 1× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 12 | 10 |
| 2 | 13 | 10 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 x (*.f64 y y)) 3) |
| Outputs |
|---|
(-.f64 (/.f64 x (*.f64 y y)) 3) |
(+.f64 (/.f64 x (*.f64 y y)) -3) |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 2 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 5.8b | (-.f64 (/.f64 x (*.f64 y y)) 3) |
Compiled 34 to 20 computations (41.2% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 9.8b | (/.f64 x (*.f64 y y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (/.f64 x (*.f64 y y)) |
| 1.0ms | x | @ | 0 | (/.f64 x (*.f64 y y)) |
| 1.0ms | x | @ | inf | (/.f64 x (*.f64 y y)) |
| 1.0ms | x | @ | -inf | (/.f64 x (*.f64 y y)) |
| 1.0ms | y | @ | inf | (/.f64 x (*.f64 y y)) |
| 1× | batch-egg-rewrite |
| 568× | pow1_binary64 |
| 529× | add-log-exp_binary64 |
| 529× | log1p-expm1-u_binary64 |
| 529× | expm1-log1p-u_binary64 |
| 515× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 106 | 7 |
| 2 | 1446 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (*.f64 y y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (pow.f64 y -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 y -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (pow.f64 y -2))) (cbrt.f64 (/.f64 (*.f64 x x) (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 x x) (pow.f64 y 4))) (cbrt.f64 (*.f64 x (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (*.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 y 4))) (/.f64 x (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 y 4))) (cbrt.f64 (*.f64 x (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 y 4))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (pow.f64 y -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 x) y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (/.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (*.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 x x) (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (*.f64 y y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (pow.f64 y -2)))))))) |
| 1× | egg-herbie |
| 607× | sqr-pow_binary64 |
| 434× | unswap-sqr_binary64 |
| 354× | cube-prod_binary64 |
| 335× | associate-/l/_binary64 |
| 271× | fabs-mul_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 168 |
| 1 | 11 | 168 |
| 2 | 20 | 168 |
| 3 | 35 | 168 |
| 4 | 75 | 168 |
| 5 | 209 | 168 |
| 6 | 754 | 168 |
| 7 | 1962 | 168 |
| 8 | 2128 | 168 |
| 9 | 2312 | 168 |
| 10 | 2520 | 168 |
| 11 | 2811 | 168 |
| 12 | 3202 | 168 |
| 13 | 3680 | 168 |
| 14 | 4241 | 168 |
| 15 | 4925 | 168 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
| Outputs |
|---|
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 29 | 5 | 34 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 29 | 6 | 35 |
| Status | Error | Program |
|---|---|---|
| ✓ | 5.8b | (-.f64 (/.f64 x (*.f64 y y)) 3) |
| ▶ | 0.1b | (-.f64 (*.f64 (/.f64 x y) (/.f64 1 y)) 3) |
| 26.0b | (-.f64 (*.f64 (cbrt.f64 (*.f64 x (pow.f64 y -2))) (cbrt.f64 (/.f64 (*.f64 x x) (pow.f64 y 4)))) 3) | |
| 6.1b | (-.f64 (*.f64 x (pow.f64 y -2)) 3) | |
| 0.1b | (-.f64 (pow.f64 (/.f64 y (/.f64 x y)) -1) 3) | |
| 0.5b | (-.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) y)) 3) |
Compiled 511 to 349 computations (31.7% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (/.f64 x y) (/.f64 1 y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 x y) (/.f64 1 y)) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 x y) (/.f64 1 y)) |
| 0.0ms | y | @ | inf | (*.f64 (/.f64 x y) (/.f64 1 y)) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 x y) (/.f64 1 y)) |
| 0.0ms | y | @ | -inf | (*.f64 (/.f64 x y) (/.f64 1 y)) |
| 1× | batch-egg-rewrite |
| 718× | pow1_binary64 |
| 665× | add-log-exp_binary64 |
| 665× | log1p-expm1-u_binary64 |
| 665× | expm1-log1p-u_binary64 |
| 71× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 7 |
| 1 | 146 | 7 |
| 2 | 1924 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 x y) (/.f64 1 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 y -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (*.f64 y y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x y) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 y x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 y (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 y y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 y) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (/.f64 y (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 x y)) (/.f64 y (sqrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 y) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 y x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (*.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 x y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 1) (*.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) -1) (*.f64 (neg.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (neg.f64 x)) (*.f64 (neg.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 x y) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 x y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (/.f64 1 y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 x y)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x y) -1) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 y) (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (pow.f64 y -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 x) y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (pow.f64 y -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (pow.f64 y -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 3) (/.f64 (pow.f64 y -2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 y -2) y) (pow.f64 (/.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (pow.f64 y -2)))))))) |
| 1× | egg-herbie |
| 607× | sqr-pow_binary64 |
| 434× | unswap-sqr_binary64 |
| 354× | cube-prod_binary64 |
| 335× | associate-/l/_binary64 |
| 271× | fabs-mul_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 168 |
| 1 | 11 | 168 |
| 2 | 20 | 168 |
| 3 | 35 | 168 |
| 4 | 75 | 168 |
| 5 | 209 | 168 |
| 6 | 754 | 168 |
| 7 | 1962 | 168 |
| 8 | 2128 | 168 |
| 9 | 2312 | 168 |
| 10 | 2520 | 168 |
| 11 | 2811 | 168 |
| 12 | 3202 | 168 |
| 13 | 3680 | 168 |
| 14 | 4241 | 168 |
| 15 | 4925 | 168 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
| Outputs |
|---|
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 42 | 2 | 44 |
| Fresh | 3 | 1 | 4 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 45 | 5 | 50 |
| Status | Error | Program |
|---|---|---|
| ✓ | 5.8b | (-.f64 (/.f64 x (*.f64 y y)) 3) |
| ✓ | 0.1b | (-.f64 (*.f64 (/.f64 x y) (/.f64 1 y)) 3) |
| 6.1b | (-.f64 (*.f64 x (pow.f64 y -2)) 3) | |
| 0.5b | (-.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (/.f64 y (cbrt.f64 (/.f64 x y)))) 3) | |
| ▶ | 0.1b | (-.f64 (/.f64 1 (*.f64 (/.f64 y x) y)) 3) |
Compiled 540 to 334 computations (38.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (/.f64 y x) y) |
| ✓ | 1.0b | (/.f64 1 (*.f64 (/.f64 y x) y)) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 y x) y) |
| 1.0ms | y | @ | inf | (*.f64 (/.f64 y x) y) |
| 0.0ms | y | @ | 0 | (*.f64 (/.f64 y x) y) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 y x) y) |
| 0.0ms | y | @ | 0 | (/.f64 1 (*.f64 (/.f64 y x) y)) |
| 1× | batch-egg-rewrite |
| 732× | pow1_binary64 |
| 677× | log1p-expm1-u_binary64 |
| 677× | expm1-log1p-u_binary64 |
| 72× | add-sqr-sqrt_binary64 |
| 70× | *-un-lft-identity_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 146 | 14 |
| 2 | 1913 | 14 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (*.f64 (/.f64 y x) y)) |
(*.f64 (/.f64 y x) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 x y) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 x y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 x y) y)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) y)) 2) (cbrt.f64 (/.f64 (/.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 y (sqrt.f64 x))) (/.f64 1 (/.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (/.f64 (*.f64 y y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 y y) x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (*.f64 y y) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) -1) (pow.f64 (/.f64 y (sqrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y y) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 x y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 x y) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (/.f64 y (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 y y) x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 x y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 x y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y y) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 x y) y)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 y y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 x y) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y y) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 y y) x)) 2) (cbrt.f64 (/.f64 (/.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (sqrt.f64 x)) (/.f64 1 (/.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 y y) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) y) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 y y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 y y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 y y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 y y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 y y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 y x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 y x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 y y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y y) x)) 1)))))) |
| 1× | egg-herbie |
| 434× | unswap-sqr_binary64 |
| 423× | associate-*r/_binary64 |
| 396× | associate-/r/_binary64 |
| 341× | associate-/l/_binary64 |
| 328× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 336 |
| 1 | 12 | 336 |
| 2 | 22 | 336 |
| 3 | 40 | 336 |
| 4 | 91 | 336 |
| 5 | 280 | 336 |
| 6 | 1113 | 336 |
| 7 | 3110 | 336 |
| 8 | 3912 | 336 |
| 9 | 4097 | 336 |
| 10 | 4313 | 336 |
| 11 | 4639 | 336 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (pow.f64 y 2) x) |
| Outputs |
|---|
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (*.f64 y y) x) |
(/.f64 y (/.f64 x y)) |
(*.f64 (/.f64 y x) y) |
(*.f64 y (/.f64 y x)) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (*.f64 y y) x) |
(/.f64 y (/.f64 x y)) |
(*.f64 (/.f64 y x) y) |
(*.f64 y (/.f64 y x)) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (*.f64 y y) x) |
(/.f64 y (/.f64 x y)) |
(*.f64 (/.f64 y x) y) |
(*.f64 y (/.f64 y x)) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (*.f64 y y) x) |
(/.f64 y (/.f64 x y)) |
(*.f64 (/.f64 y x) y) |
(*.f64 y (/.f64 y x)) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (*.f64 y y) x) |
(/.f64 y (/.f64 x y)) |
(*.f64 (/.f64 y x) y) |
(*.f64 y (/.f64 y x)) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (*.f64 y y) x) |
(/.f64 y (/.f64 x y)) |
(*.f64 (/.f64 y x) y) |
(*.f64 y (/.f64 y x)) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (*.f64 y y) x) |
(/.f64 y (/.f64 x y)) |
(*.f64 (/.f64 y x) y) |
(*.f64 y (/.f64 y x)) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (*.f64 y y) x) |
(/.f64 y (/.f64 x y)) |
(*.f64 (/.f64 y x) y) |
(*.f64 y (/.f64 y x)) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (*.f64 y y) x) |
(/.f64 y (/.f64 x y)) |
(*.f64 (/.f64 y x) y) |
(*.f64 y (/.f64 y x)) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (*.f64 y y) x) |
(/.f64 y (/.f64 x y)) |
(*.f64 (/.f64 y x) y) |
(*.f64 y (/.f64 y x)) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (*.f64 y y) x) |
(/.f64 y (/.f64 x y)) |
(*.f64 (/.f64 y x) y) |
(*.f64 y (/.f64 y x)) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (*.f64 y y) x) |
(/.f64 y (/.f64 x y)) |
(*.f64 (/.f64 y x) y) |
(*.f64 y (/.f64 y x)) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (*.f64 y y) x) |
(/.f64 y (/.f64 x y)) |
(*.f64 (/.f64 y x) y) |
(*.f64 y (/.f64 y x)) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (*.f64 y y) x) |
(/.f64 y (/.f64 x y)) |
(*.f64 (/.f64 y x) y) |
(*.f64 y (/.f64 y x)) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (*.f64 y y) x) |
(/.f64 y (/.f64 x y)) |
(*.f64 (/.f64 y x) y) |
(*.f64 y (/.f64 y x)) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (*.f64 y y) x) |
(/.f64 y (/.f64 x y)) |
(*.f64 (/.f64 y x) y) |
(*.f64 y (/.f64 y x)) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (*.f64 y y) x) |
(/.f64 y (/.f64 x y)) |
(*.f64 (/.f64 y x) y) |
(*.f64 y (/.f64 y x)) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (*.f64 y y) x) |
(/.f64 y (/.f64 x y)) |
(*.f64 (/.f64 y x) y) |
(*.f64 y (/.f64 y x)) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (*.f64 y y) x) |
(/.f64 y (/.f64 x y)) |
(*.f64 (/.f64 y x) y) |
(*.f64 y (/.f64 y x)) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (*.f64 y y) x) |
(/.f64 y (/.f64 x y)) |
(*.f64 (/.f64 y x) y) |
(*.f64 y (/.f64 y x)) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (*.f64 y y) x) |
(/.f64 y (/.f64 x y)) |
(*.f64 (/.f64 y x) y) |
(*.f64 y (/.f64 y x)) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (*.f64 y y) x) |
(/.f64 y (/.f64 x y)) |
(*.f64 (/.f64 y x) y) |
(*.f64 y (/.f64 y x)) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (*.f64 y y) x) |
(/.f64 y (/.f64 x y)) |
(*.f64 (/.f64 y x) y) |
(*.f64 y (/.f64 y x)) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (*.f64 y y) x) |
(/.f64 y (/.f64 x y)) |
(*.f64 (/.f64 y x) y) |
(*.f64 y (/.f64 y x)) |
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 61 | 0 | 61 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 61 | 5 | 66 |
| Status | Error | Program |
|---|---|---|
| ✓ | 5.8b | (-.f64 (/.f64 x (*.f64 y y)) 3) |
| ✓ | 0.1b | (-.f64 (*.f64 (/.f64 x y) (/.f64 1 y)) 3) |
| 6.1b | (-.f64 (*.f64 x (pow.f64 y -2)) 3) | |
| ▶ | 0.5b | (-.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (/.f64 y (cbrt.f64 (/.f64 x y)))) 3) |
| ✓ | 0.1b | (-.f64 (/.f64 1 (*.f64 (/.f64 y x) y)) 3) |
Compiled 778 to 427 computations (45.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 y (cbrt.f64 (/.f64 x y))) |
| ✓ | 0.3b | (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (/.f64 y (cbrt.f64 (/.f64 x y)))) |
| ✓ | 0.5b | (pow.f64 (cbrt.f64 (/.f64 x y)) 2) |
| ✓ | 9.6b | (cbrt.f64 (/.f64 x y)) |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | -inf | (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (/.f64 y (cbrt.f64 (/.f64 x y)))) |
| 3.0ms | x | @ | -inf | (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (/.f64 y (cbrt.f64 (/.f64 x y)))) |
| 3.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 (/.f64 x y)) 2) |
| 2.0ms | x | @ | 0 | (cbrt.f64 (/.f64 x y)) |
| 1.0ms | x | @ | -inf | (cbrt.f64 (/.f64 x y)) |
| 1× | batch-egg-rewrite |
| 525× | log-prod_binary64 |
| 170× | log-div_binary64 |
| 169× | expm1-udef_binary64 |
| 169× | log1p-udef_binary64 |
| 158× | pow3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 44 |
| 1 | 200 | 31 |
| 2 | 2720 | 31 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (/.f64 x y)) |
(pow.f64 (cbrt.f64 (/.f64 x y)) 2) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (/.f64 y (cbrt.f64 (/.f64 x y)))) |
(/.f64 y (cbrt.f64 (/.f64 x y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 x y)))) (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (/.f64 1 y) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (/.f64 1 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x y) 1/6) (pow.f64 (/.f64 x y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 x y)) 1/3) (pow.f64 (sqrt.f64 (/.f64 x y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 y) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 x) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x y))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))) (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 x y))) (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x y) 1/6) (*.f64 (pow.f64 (/.f64 x y) 1/6) (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (/.f64 x y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))) (cbrt.f64 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (/.f64 x y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 x)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2/3 (log.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (/.f64 x y))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 x y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 x y) y))) (cbrt.f64 (exp.f64 (/.f64 (/.f64 x y) y))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 x y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 x y) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 x y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 x y) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x y)) (*.f64 (cbrt.f64 (/.f64 x y)) (/.f64 (cbrt.f64 (/.f64 x y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (/.f64 (cbrt.f64 (/.f64 x y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 x y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 x y) y)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) y)) 2) (cbrt.f64 (/.f64 (/.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 4)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 (cbrt.f64 (/.f64 x y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (sqrt.f64 (/.f64 (/.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 1 (/.f64 (neg.f64 y) (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 x y)) y) (pow.f64 (cbrt.f64 (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 x y)) y) (/.f64 (cbrt.f64 (/.f64 x y)) (/.f64 1 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (/.f64 1 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) y) (cbrt.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 4)) y) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 1 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 x y)) 1) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 4)) 1) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (/.f64 y (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 y (cbrt.f64 (/.f64 x y)))) 2)) (/.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 y (cbrt.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (cbrt.f64 (/.f64 x y)))) 2)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (/.f64 y (cbrt.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 4)) (pow.f64 (cbrt.f64 (/.f64 y (cbrt.f64 (/.f64 x y)))) 2)) (cbrt.f64 (/.f64 (/.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 y (cbrt.f64 (/.f64 x y))))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (sqrt.f64 (/.f64 y (cbrt.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 4)) (sqrt.f64 (/.f64 y (cbrt.f64 (/.f64 x y))))) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2)) (sqrt.f64 (/.f64 y (cbrt.f64 (/.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)) y))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (/.f64 x y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (/.f64 (neg.f64 y) (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 x y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 x y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 x y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) 2) (pow.f64 (/.f64 y (cbrt.f64 (/.f64 x y))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 x y) y)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 y (cbrt.f64 (/.f64 x y))))) (cbrt.f64 (exp.f64 (/.f64 y (cbrt.f64 (/.f64 x y))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (cbrt.f64 (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (cbrt.f64 (/.f64 x y)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (cbrt.f64 (/.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (cbrt.f64 (/.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (cbrt.f64 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (cbrt.f64 (/.f64 x y)))) (pow.f64 (cbrt.f64 (/.f64 y (cbrt.f64 (/.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (cbrt.f64 (/.f64 x y)))) 2) (cbrt.f64 (/.f64 y (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (/.f64 1 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (cbrt.f64 (/.f64 x y)))) (sqrt.f64 (/.f64 y (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (neg.f64 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (/.f64 x y))) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) 1) (/.f64 (cbrt.f64 y) (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (cbrt.f64 x)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))) (/.f64 y (cbrt.f64 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))) (cbrt.f64 (/.f64 y (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2))) (/.f64 (sqrt.f64 y) (cbrt.f64 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (/.f64 x y) 1/6)) (/.f64 y (pow.f64 (/.f64 x y) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (pow.f64 (/.f64 x y) 1/6)) (/.f64 (cbrt.f64 y) (pow.f64 (/.f64 x y) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (cbrt.f64 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (cbrt.f64 (/.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (cbrt.f64 (/.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (cbrt.f64 (/.f64 x y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 (/.f64 x y)) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (cbrt.f64 (/.f64 x y)) y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (neg.f64 (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (cbrt.f64 (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (cbrt.f64 (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (cbrt.f64 (/.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (cbrt.f64 (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (cbrt.f64 (/.f64 x y)))) 1)))))) |
| 1× | egg-herbie |
| 607× | sqr-pow_binary64 |
| 434× | unswap-sqr_binary64 |
| 354× | cube-prod_binary64 |
| 335× | associate-/l/_binary64 |
| 271× | fabs-mul_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 168 |
| 1 | 11 | 168 |
| 2 | 20 | 168 |
| 3 | 35 | 168 |
| 4 | 75 | 168 |
| 5 | 209 | 168 |
| 6 | 754 | 168 |
| 7 | 1962 | 168 |
| 8 | 2128 | 168 |
| 9 | 2312 | 168 |
| 10 | 2520 | 168 |
| 11 | 2811 | 168 |
| 12 | 3202 | 168 |
| 13 | 3680 | 168 |
| 14 | 4241 | 168 |
| 15 | 4925 | 168 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (pow.f64 y 2)) |
| Outputs |
|---|
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 183 | 0 | 183 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 183 | 5 | 188 |
| Status | Error | Program |
|---|---|---|
| ✓ | 5.8b | (-.f64 (/.f64 x (*.f64 y y)) 3) |
| ✓ | 0.1b | (-.f64 (*.f64 (/.f64 x y) (/.f64 1 y)) 3) |
| 6.1b | (-.f64 (*.f64 x (pow.f64 y -2)) 3) | |
| ✓ | 0.5b | (-.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (/.f64 y (cbrt.f64 (/.f64 x y)))) 3) |
| ✓ | 0.1b | (-.f64 (/.f64 1 (*.f64 (/.f64 y x) y)) 3) |
Compiled 3509 to 1470 computations (58.1% saved)
Total -5.4b remaining (-6060.1%)
Threshold costs -5.4b (-6060.1%)
Compiled 195 to 118 computations (39.5% saved)
| 1× | egg-herbie |
| 1× | +-commutative_binary64 |
| 1× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 10 | 10 |
| 2 | 11 | 10 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 (/.f64 x y) y) 3) |
| Outputs |
|---|
(-.f64 (/.f64 (/.f64 x y) y) 3) |
(+.f64 (/.f64 (/.f64 x y) y) -3) |
| 1× | fuel |
Compiled 65 to 39 computations (40% saved)
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