Time bar (total: 2.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 7 |
| 18.8% | 18.7% | 81.1% | 0.1% | 0% | 0% | 0% | 8 |
| 26.2% | 25% | 70.2% | 0.1% | 4.7% | 0% | 0% | 9 |
| 39.7% | 37.4% | 56.9% | 0.1% | 5.5% | 0% | 0% | 10 |
| 47.1% | 44.5% | 49.9% | 0.1% | 5.5% | 0% | 0% | 11 |
| 54.9% | 50.3% | 41.3% | 0.1% | 8.2% | 0% | 0% | 12 |
Compiled 11 to 8 computations (27.3% saved)
| 957.0ms | 8256× | body | 256 | valid |
| 51.0ms | 422× | body | 256 | infinite |
| 2× | egg-herbie |
| 447× | fma-def_binary64 |
| 313× | fma-neg_binary64 |
| 108× | distribute-rgt-neg-in_binary64 |
| 90× | cancel-sign-sub-inv_binary64 |
| 84× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 40 |
| 1 | 40 | 40 |
| 2 | 75 | 40 |
| 3 | 110 | 40 |
| 4 | 197 | 40 |
| 5 | 336 | 40 |
| 6 | 684 | 40 |
| 7 | 1441 | 40 |
| 8 | 1652 | 40 |
| 9 | 1706 | 40 |
| 10 | 1709 | 40 |
| 11 | 1709 | 40 |
| 12 | 1709 | 40 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(-.f64 (*.f64 (*.f64 x 3) y) z) |
(-.f64 (*.f64 (*.f64 y 3) x) z) |
(-.f64 (*.f64 (*.f64 z 3) y) x) |
(-.f64 (*.f64 (*.f64 x 3) z) y) |
| Outputs |
|---|
(-.f64 (*.f64 (*.f64 x 3) y) z) |
(-.f64 (*.f64 x (*.f64 3 y)) z) |
(fma.f64 (*.f64 x 3) y (neg.f64 z)) |
(fma.f64 3 (*.f64 x y) (neg.f64 z)) |
(-.f64 (*.f64 (*.f64 y 3) x) z) |
(-.f64 (*.f64 x (*.f64 3 y)) z) |
(fma.f64 (*.f64 x 3) y (neg.f64 z)) |
(fma.f64 3 (*.f64 x y) (neg.f64 z)) |
(-.f64 (*.f64 (*.f64 x 3) y) z) |
(-.f64 (*.f64 (*.f64 z 3) y) x) |
(fma.f64 (*.f64 3 z) y (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 y z) 3) x) |
(fma.f64 3 (*.f64 y z) (neg.f64 x)) |
(-.f64 (*.f64 y (*.f64 3 z)) x) |
(-.f64 (*.f64 z (*.f64 3 y)) x) |
(-.f64 (*.f64 (*.f64 x 3) z) y) |
(-.f64 (*.f64 3 (*.f64 x z)) y) |
(fma.f64 3 (*.f64 x z) (neg.f64 y)) |
Compiled 13 to 10 computations (23.1% saved)
| 1× | egg-herbie |
| 192× | fma-def_binary64 |
| 125× | fma-neg_binary64 |
| 44× | distribute-rgt-neg-in_binary64 |
| 37× | cancel-sign-sub-inv_binary64 |
| 27× | unsub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 10 |
| 1 | 15 | 10 |
| 2 | 29 | 10 |
| 3 | 42 | 10 |
| 4 | 76 | 10 |
| 5 | 133 | 10 |
| 6 | 246 | 10 |
| 7 | 422 | 10 |
| 8 | 579 | 10 |
| 9 | 698 | 10 |
| 10 | 748 | 10 |
| 11 | 750 | 10 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (*.f64 (*.f64 x 3) y) z) |
| Outputs |
|---|
(-.f64 (*.f64 (*.f64 x 3) y) z) |
(-.f64 (*.f64 x (*.f64 3 y)) z) |
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 |
|---|---|---|
| ▶ | 0.1b | (-.f64 (*.f64 (*.f64 x 3) y) z) |
| ▶ | 0.1b | (-.f64 (*.f64 x (*.f64 3 y)) z) |
Compiled 20 to 14 computations (30% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 x (*.f64 3 y)) |
Compiled 22 to 13 computations (40.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (*.f64 x (*.f64 3 y)) |
| 1.0ms | y | @ | 0 | (*.f64 x (*.f64 3 y)) |
| 1.0ms | x | @ | 0 | (*.f64 x (*.f64 3 y)) |
| 1.0ms | y | @ | inf | (*.f64 x (*.f64 3 y)) |
| 0.0ms | x | @ | -inf | (*.f64 x (*.f64 3 y)) |
| 1× | batch-egg-rewrite |
| 555× | pow1_binary64 |
| 511× | add-log-exp_binary64 |
| 511× | log1p-expm1-u_binary64 |
| 511× | expm1-log1p-u_binary64 |
| 501× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 121 | 7 |
| 2 | 1393 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (*.f64 3 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 3 y)))))))) |
| 1× | egg-herbie |
| 5× | *-commutative_binary64 |
| 3× | associate-*r*_binary64 |
| 3× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 168 |
| 1 | 10 | 168 |
| 2 | 17 | 168 |
| 3 | 19 | 168 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
| Outputs |
|---|
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (*.f64 x 3) y) |
Compiled 22 to 13 computations (40.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (*.f64 x 3) y) |
| 0.0ms | x | @ | -inf | (*.f64 (*.f64 x 3) y) |
| 0.0ms | x | @ | inf | (*.f64 (*.f64 x 3) y) |
| 0.0ms | y | @ | -inf | (*.f64 (*.f64 x 3) y) |
| 0.0ms | y | @ | inf | (*.f64 (*.f64 x 3) y) |
| 1× | batch-egg-rewrite |
| 554× | pow1_binary64 |
| 510× | add-log-exp_binary64 |
| 510× | log1p-expm1-u_binary64 |
| 510× | expm1-log1p-u_binary64 |
| 500× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 121 | 7 |
| 2 | 1391 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 x 3) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 3 y)))))))) |
| 1× | egg-herbie |
| 5× | *-commutative_binary64 |
| 3× | associate-*r*_binary64 |
| 3× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 168 |
| 1 | 10 | 168 |
| 2 | 17 | 168 |
| 3 | 19 | 168 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
| Outputs |
|---|
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
Compiled 231 to 158 computations (31.6% saved)
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 22 | 2 | 24 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 22 | 4 | 26 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.1b | (-.f64 (*.f64 (*.f64 x 3) y) z) |
| ▶ | 30.1b | (-.f64 (pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 2) z) |
| ▶ | 0.2b | (-.f64 (*.f64 3 (*.f64 y x)) z) |
| ✓ | 0.1b | (-.f64 (*.f64 x (*.f64 3 y)) z) |
Compiled 43 to 31 computations (27.9% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 3 (*.f64 y x)) |
Compiled 22 to 10 computations (54.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (*.f64 3 (*.f64 y x)) |
| 0.0ms | y | @ | inf | (*.f64 3 (*.f64 y x)) |
| 0.0ms | y | @ | -inf | (*.f64 3 (*.f64 y x)) |
| 0.0ms | x | @ | -inf | (*.f64 3 (*.f64 y x)) |
| 0.0ms | x | @ | inf | (*.f64 3 (*.f64 y x)) |
| 1× | batch-egg-rewrite |
| 555× | pow1_binary64 |
| 511× | add-log-exp_binary64 |
| 511× | log1p-expm1-u_binary64 |
| 511× | expm1-log1p-u_binary64 |
| 501× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 121 | 7 |
| 2 | 1393 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 3 (*.f64 y x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 3 (*.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (*.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 y x) 2) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 y x)))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 2) |
| 0.2b | (*.f64 x (*.f64 3 y)) | |
| ✓ | 6.9b | (sqrt.f64 (*.f64 x (*.f64 3 y))) |
Compiled 40 to 27 computations (32.5% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | (pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 2) |
| 2.0ms | x | @ | 0 | (sqrt.f64 (*.f64 x (*.f64 3 y))) |
| 1.0ms | x | @ | 0 | (pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 2) |
| 1.0ms | x | @ | inf | (sqrt.f64 (*.f64 x (*.f64 3 y))) |
| 1.0ms | x | @ | -inf | (pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 2) |
| 1× | batch-egg-rewrite |
| 697× | pow1_binary64 |
| 646× | add-log-exp_binary64 |
| 645× | log1p-expm1-u_binary64 |
| 645× | expm1-log1p-u_binary64 |
| 632× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 16 |
| 1 | 187 | 16 |
| 2 | 1840 | 16 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 x (*.f64 3 y))) |
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 x (*.f64 3 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 3 y)))) (cbrt.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 3 y)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1/4) (pow.f64 (*.f64 x (*.f64 3 y)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 3)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 3) 1/2) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 3 y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 3 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 x (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) (sqrt.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 9 (*.f64 y y))) (*.f64 (cbrt.f64 (*.f64 3 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 3 y)))) (sqrt.f64 (*.f64 x (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2) (cbrt.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 3 y)) (*.f64 (sqrt.f64 (*.f64 3 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 3 y)) (sqrt.f64 (*.f64 x (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1/4) (*.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1/4) (sqrt.f64 (*.f64 x (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 3) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) (pow.f64 (*.f64 x (*.f64 3 y)) 1/4)) (pow.f64 (*.f64 x (*.f64 3 y)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x y) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 (*.f64 9 (*.f64 y y)))) (cbrt.f64 (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (*.f64 3 y))) (sqrt.f64 (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 3 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 3 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) (cbrt.f64 (*.f64 x (*.f64 3 y)))) (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) (sqrt.f64 x)) (sqrt.f64 (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 3) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 3) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 3) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 3 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 3 y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 3 y)))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Compiled 1052 to 723 computations (31.3% saved)
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 82 | 2 | 84 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 82 | 6 | 88 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.7b | (-.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2) (cbrt.f64 (*.f64 x (*.f64 3 y)))) z) |
| ✓ | 0.2b | (-.f64 (*.f64 3 (*.f64 y x)) z) |
| ✓ | 0.1b | (-.f64 (*.f64 (*.f64 x 3) y) z) |
| ✓ | 30.1b | (-.f64 (pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 2) z) |
| ✓ | 0.1b | (-.f64 (*.f64 x (*.f64 3 y)) z) |
| ▶ | 33.4b | (-.f64 (*.f64 (*.f64 (*.f64 3 y) (sqrt.f64 x)) (sqrt.f64 x)) z) |
Compiled 77 to 55 computations (28.6% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (*.f64 (*.f64 3 y) (sqrt.f64 x)) (sqrt.f64 x)) |
| ✓ | 0.1b | (*.f64 (*.f64 3 y) (sqrt.f64 x)) |
Compiled 38 to 19 computations (50% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | (*.f64 (*.f64 3 y) (sqrt.f64 x)) |
| 2.0ms | x | @ | -inf | (*.f64 (*.f64 (*.f64 3 y) (sqrt.f64 x)) (sqrt.f64 x)) |
| 1.0ms | x | @ | 0 | (*.f64 (*.f64 3 y) (sqrt.f64 x)) |
| 1.0ms | x | @ | -inf | (*.f64 (*.f64 3 y) (sqrt.f64 x)) |
| 1.0ms | y | @ | inf | (*.f64 (*.f64 3 y) (sqrt.f64 x)) |
| 1× | batch-egg-rewrite |
| 739× | pow1_binary64 |
| 682× | add-log-exp_binary64 |
| 682× | log1p-expm1-u_binary64 |
| 682× | expm1-log1p-u_binary64 |
| 666× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 16 |
| 1 | 162 | 16 |
| 2 | 1899 | 16 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 3 y) (sqrt.f64 x)) |
(*.f64 (*.f64 (*.f64 3 y) (sqrt.f64 x)) (sqrt.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 3 (*.f64 y (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 y (sqrt.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (*.f64 y (sqrt.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (*.f64 9 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 3 y) 3) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (*.f64 3 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 3 (*.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (*.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 3) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 3 y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) 3) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 y x)))))))) |
| 1× | egg-herbie |
| 764× | fma-def_binary64 |
| 526× | unswap-sqr_binary64 |
| 520× | fabs-mul_binary64 |
| 506× | *-commutative_binary64 |
| 497× | cube-prod_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 276 |
| 1 | 34 | 276 |
| 2 | 83 | 276 |
| 3 | 163 | 276 |
| 4 | 404 | 276 |
| 5 | 1442 | 276 |
| 6 | 1867 | 276 |
| 7 | 2222 | 276 |
| 8 | 3419 | 276 |
| 9 | 3885 | 276 |
| 10 | 4247 | 276 |
| 11 | 4638 | 276 |
| 12 | 5039 | 276 |
| 13 | 5436 | 276 |
| 14 | 5919 | 276 |
| 15 | 7371 | 276 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 3 (*.f64 y (sqrt.f64 x))) |
(*.f64 3 (*.f64 y (sqrt.f64 x))) |
(*.f64 3 (*.f64 y (sqrt.f64 x))) |
(*.f64 3 (*.f64 y (sqrt.f64 x))) |
(*.f64 3 (*.f64 y (sqrt.f64 x))) |
(*.f64 3 (*.f64 y (sqrt.f64 x))) |
(*.f64 3 (*.f64 y (sqrt.f64 x))) |
(*.f64 3 (*.f64 y (sqrt.f64 x))) |
(*.f64 3 (*.f64 y (sqrt.f64 x))) |
(*.f64 3 (*.f64 y (sqrt.f64 x))) |
(*.f64 3 (*.f64 y (sqrt.f64 x))) |
(*.f64 3 (*.f64 y (sqrt.f64 x))) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 -3 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y x))) |
(*.f64 -3 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y x))) |
(*.f64 -3 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y x))) |
(*.f64 -3 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y x))) |
| Outputs |
|---|
(*.f64 3 (*.f64 y (sqrt.f64 x))) |
(*.f64 (*.f64 3 y) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (*.f64 3 y)) |
(*.f64 3 (*.f64 y (sqrt.f64 x))) |
(*.f64 (*.f64 3 y) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (*.f64 3 y)) |
(*.f64 3 (*.f64 y (sqrt.f64 x))) |
(*.f64 (*.f64 3 y) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (*.f64 3 y)) |
(*.f64 3 (*.f64 y (sqrt.f64 x))) |
(*.f64 (*.f64 3 y) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (*.f64 3 y)) |
(*.f64 3 (*.f64 y (sqrt.f64 x))) |
(*.f64 (*.f64 3 y) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (*.f64 3 y)) |
(*.f64 3 (*.f64 y (sqrt.f64 x))) |
(*.f64 (*.f64 3 y) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (*.f64 3 y)) |
(*.f64 3 (*.f64 y (sqrt.f64 x))) |
(*.f64 (*.f64 3 y) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (*.f64 3 y)) |
(*.f64 3 (*.f64 y (sqrt.f64 x))) |
(*.f64 (*.f64 3 y) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (*.f64 3 y)) |
(*.f64 3 (*.f64 y (sqrt.f64 x))) |
(*.f64 (*.f64 3 y) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (*.f64 3 y)) |
(*.f64 3 (*.f64 y (sqrt.f64 x))) |
(*.f64 (*.f64 3 y) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (*.f64 3 y)) |
(*.f64 3 (*.f64 y (sqrt.f64 x))) |
(*.f64 (*.f64 3 y) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (*.f64 3 y)) |
(*.f64 3 (*.f64 y (sqrt.f64 x))) |
(*.f64 (*.f64 3 y) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (*.f64 3 y)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 3 y) x) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 3 y) x) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 3 y) x) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 3 y) x) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 3 y) x) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 3 y) x) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 3 y) x) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 3 y) x) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 3 y) x) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 3 y) x) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 3 y) x) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 3 y) x) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 3 y) x) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 3 y) x) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 3 y) x) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 3 y) x) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 3 y) x) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 3 y) x) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 3 y) x) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 3 y) x) |
(*.f64 -3 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y x))) |
(*.f64 (*.f64 3 y) x) |
(*.f64 3 (*.f64 y x)) |
(*.f64 -3 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y x))) |
(*.f64 (*.f64 3 y) x) |
(*.f64 3 (*.f64 y x)) |
(*.f64 -3 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y x))) |
(*.f64 (*.f64 3 y) x) |
(*.f64 3 (*.f64 y x)) |
(*.f64 -3 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y x))) |
(*.f64 (*.f64 3 y) x) |
(*.f64 3 (*.f64 y x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 x (*.f64 3 y)) | |
| ✓ | 0.3b | (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2) (cbrt.f64 (*.f64 x (*.f64 3 y)))) |
| ✓ | 0.5b | (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2) |
| ✓ | 7.3b | (cbrt.f64 (*.f64 x (*.f64 3 y))) |
Compiled 62 to 43 computations (30.6% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | 0 | (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2) (cbrt.f64 (*.f64 x (*.f64 3 y)))) |
| 3.0ms | x | @ | inf | (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2) (cbrt.f64 (*.f64 x (*.f64 3 y)))) |
| 3.0ms | x | @ | -inf | (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2) (cbrt.f64 (*.f64 x (*.f64 3 y)))) |
| 2.0ms | y | @ | 0 | (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2) (cbrt.f64 (*.f64 x (*.f64 3 y)))) |
| 2.0ms | y | @ | -inf | (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2) (cbrt.f64 (*.f64 x (*.f64 3 y)))) |
| 1× | batch-egg-rewrite |
| 753× | pow1_binary64 |
| 700× | add-log-exp_binary64 |
| 699× | log1p-expm1-u_binary64 |
| 699× | expm1-log1p-u_binary64 |
| 684× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 28 |
| 1 | 207 | 28 |
| 2 | 2040 | 28 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (*.f64 x (*.f64 3 y))) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2) (cbrt.f64 (*.f64 x (*.f64 3 y)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 x (*.f64 3 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 3 y)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1/6) (pow.f64 (*.f64 x (*.f64 3 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 3)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 3) 1/3) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 3 y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) (cbrt.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (*.f64 3 y)) (cbrt.f64 (*.f64 x (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 9 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) (cbrt.f64 (*.f64 x (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) (pow.f64 (*.f64 x (*.f64 3 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1/6) (sqrt.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) (cbrt.f64 x)) (cbrt.f64 (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 3 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 3 y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 3 y)))))))) |
| 1× | egg-herbie |
| 5× | *-commutative_binary64 |
| 3× | associate-*r*_binary64 |
| 3× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 168 |
| 1 | 10 | 168 |
| 2 | 17 | 168 |
| 3 | 19 | 168 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
| Outputs |
|---|
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
Compiled 2426 to 1707 computations (29.6% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 136 | 1 | 137 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 5 | 5 |
| Total | 137 | 6 | 143 |
| Status | Error | Program |
|---|---|---|
| ✓ | 33.4b | (-.f64 (*.f64 (*.f64 (*.f64 3 y) (sqrt.f64 x)) (sqrt.f64 x)) z) |
| ▶ | 33.4b | (-.f64 (*.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (sqrt.f64 x)) z) |
| ✓ | 0.1b | (-.f64 (*.f64 (*.f64 x 3) y) z) |
| ✓ | 30.1b | (-.f64 (pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 2) z) |
| ✓ | 0.2b | (-.f64 (*.f64 3 (*.f64 y x)) z) |
| ✓ | 0.1b | (-.f64 (*.f64 x (*.f64 3 y)) z) |
Compiled 71 to 49 computations (31% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 y (sqrt.f64 x)) |
| ✓ | 0.1b | (*.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (sqrt.f64 x)) |
| ✓ | 0.1b | (*.f64 3 (*.f64 y (sqrt.f64 x))) |
Compiled 39 to 15 computations (61.5% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (*.f64 y (sqrt.f64 x)) |
| 0.0ms | x | @ | inf | (*.f64 y (sqrt.f64 x)) |
| 0.0ms | y | @ | -inf | (*.f64 y (sqrt.f64 x)) |
| 0.0ms | x | @ | 0 | (*.f64 y (sqrt.f64 x)) |
| 0.0ms | x | @ | 0 | (*.f64 3 (*.f64 y (sqrt.f64 x))) |
| 1× | batch-egg-rewrite |
| 748× | pow1_binary64 |
| 690× | add-log-exp_binary64 |
| 690× | log1p-expm1-u_binary64 |
| 690× | expm1-log1p-u_binary64 |
| 674× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 29 |
| 1 | 163 | 22 |
| 2 | 1920 | 22 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 3 (*.f64 y (sqrt.f64 x))) |
(*.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (sqrt.f64 x)) |
(*.f64 y (sqrt.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 3 (*.f64 y (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 y (sqrt.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (*.f64 y (sqrt.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9 (*.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (*.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 y (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 3 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 3 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 3 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 3 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 3 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 3 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 3 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) 3) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 3 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 3 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 3 y) x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 y (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (sqrt.f64 x)))))))) |
| 1× | egg-herbie |
| 759× | sqr-pow_binary64 |
| 656× | fma-def_binary64 |
| 615× | fabs-mul_binary64 |
| 597× | cube-prod_binary64 |
| 420× | pow-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 168 |
| 1 | 28 | 168 |
| 2 | 71 | 168 |
| 3 | 149 | 168 |
| 4 | 372 | 168 |
| 5 | 1215 | 168 |
| 6 | 1542 | 168 |
| 7 | 1883 | 168 |
| 8 | 2447 | 168 |
| 9 | 2832 | 168 |
| 10 | 3141 | 168 |
| 11 | 3439 | 168 |
| 12 | 3779 | 168 |
| 13 | 4190 | 168 |
| 14 | 4681 | 168 |
| 15 | 6004 | 168 |
| 16 | 6943 | 168 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 -3 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y x))) |
(*.f64 -3 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y x))) |
(*.f64 -3 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y x))) |
(*.f64 -3 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y x))) |
| Outputs |
|---|
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 3 y) x) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 3 y) x) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 3 y) x) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 3 y) x) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 3 y) x) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 3 y) x) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 3 y) x) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 3 y) x) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 3 y) x) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 3 y) x) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 3 y) x) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 3 y) x) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 3 y) x) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 3 y) x) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 3 y) x) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 3 y) x) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 3 y) x) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 3 y) x) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 3 y) x) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 3 y) x) |
(*.f64 -3 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y x))) |
(*.f64 (*.f64 3 y) x) |
(*.f64 3 (*.f64 y x)) |
(*.f64 -3 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y x))) |
(*.f64 (*.f64 3 y) x) |
(*.f64 3 (*.f64 y x)) |
(*.f64 -3 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y x))) |
(*.f64 (*.f64 3 y) x) |
(*.f64 3 (*.f64 y x)) |
(*.f64 -3 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y x))) |
(*.f64 (*.f64 3 y) x) |
(*.f64 3 (*.f64 y x)) |
Compiled 496 to 278 computations (44% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 40 | 0 | 40 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 40 | 6 | 46 |
| Status | Error | Program |
|---|---|---|
| ✓ | 33.4b | (-.f64 (*.f64 (*.f64 (*.f64 3 y) (sqrt.f64 x)) (sqrt.f64 x)) z) |
| ✓ | 33.4b | (-.f64 (*.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (sqrt.f64 x)) z) |
| ✓ | 0.1b | (-.f64 (*.f64 (*.f64 x 3) y) z) |
| ✓ | 30.1b | (-.f64 (pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 2) z) |
| ✓ | 0.2b | (-.f64 (*.f64 3 (*.f64 y x)) z) |
| ✓ | 0.1b | (-.f64 (*.f64 x (*.f64 3 y)) z) |
Compiled 71 to 49 computations (31% saved)
Total -48.9b remaining (-46327.6%)
Threshold costs -48.9b (-46327.6%)
| Inputs |
|---|
(-.f64 (*.f64 3 (*.f64 y x)) z) |
(-.f64 (*.f64 x (*.f64 3 y)) z) |
(-.f64 (*.f64 (*.f64 x 3) y) z) |
(-.f64 (pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 2) z) |
(-.f64 (*.f64 (*.f64 3 (*.f64 y (sqrt.f64 x))) (sqrt.f64 x)) z) |
(-.f64 (*.f64 (*.f64 (*.f64 3 y) (sqrt.f64 x)) (sqrt.f64 x)) z) |
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2) (cbrt.f64 (*.f64 x (*.f64 3 y)))) z) |
| Outputs |
|---|
(-.f64 (*.f64 x (*.f64 3 y)) z) |
6 calls:
| 6.0ms | (-.f64 (*.f64 (*.f64 x 3) y) z) |
| 5.0ms | y |
| 5.0ms | (*.f64 x 3) |
| 5.0ms | (*.f64 (*.f64 x 3) y) |
| 5.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | y |
| 0.1b | 1 | z |
| 0.1b | 1 | (-.f64 (*.f64 (*.f64 x 3) y) z) |
| 0.1b | 1 | (*.f64 (*.f64 x 3) y) |
| 0.1b | 1 | (*.f64 x 3) |
Compiled 109 to 72 computations (33.9% saved)
| 1× | egg-herbie |
| 5× | *-commutative_binary64 |
| 3× | +-commutative_binary64 |
| 3× | sub-neg_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 20 |
| 1 | 18 | 20 |
| 2 | 24 | 20 |
| 3 | 26 | 20 |
| 4 | 27 | 20 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (*.f64 x (*.f64 3 y)) z) |
(-.f64 (*.f64 3 (*.f64 y x)) z) |
| Outputs |
|---|
(-.f64 (*.f64 x (*.f64 3 y)) z) |
(-.f64 (*.f64 3 (*.f64 y x)) z) |
(-.f64 (*.f64 3 (*.f64 x y)) z) |
Compiled 20 to 14 computations (30% saved)
| 1× | egg-herbie |
| 192× | fma-def_binary64 |
| 125× | fma-neg_binary64 |
| 44× | distribute-rgt-neg-in_binary64 |
| 37× | cancel-sign-sub-inv_binary64 |
| 27× | unsub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 10 |
| 1 | 15 | 10 |
| 2 | 29 | 10 |
| 3 | 42 | 10 |
| 4 | 76 | 10 |
| 5 | 133 | 10 |
| 6 | 246 | 10 |
| 7 | 422 | 10 |
| 8 | 579 | 10 |
| 9 | 698 | 10 |
| 10 | 748 | 10 |
| 11 | 750 | 10 |
| 1× | saturated |
Compiled 20 to 14 computations (30% saved)
Compiled 17 to 11 computations (35.3% saved)
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