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 |
| 25% | 56.2% | 18.8% | 6 |
| 37.5% | 40.6% | 22% | 7 |
| 46.8% | 31.2% | 22% | 8 |
| 54.6% | 21.9% | 23.5% | 9 |
| 60.1% | 16.4% | 23.5% | 10 |
| 64.4% | 11.3% | 24.3% | 11 |
| 67.3% | 8.4% | 24.3% | 12 |
Compiled 10 to 6 computations (40% saved)
| 1.2s | 8256× | body | 256 | valid |
| 11.0ms | 89× | body | 256 | invalid |
| 2× | egg-herbie |
| 8× | fma-def_binary64 |
| 4× | +-commutative_binary64 |
| 2× | *-commutative_binary64 |
| 2× | associate-+r+_binary64 |
| 2× | associate-+l+_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 16 |
| 1 | 19 | 16 |
| 2 | 26 | 16 |
| 3 | 30 | 16 |
| 4 | 32 | 16 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(+.f64 (+.f64 (*.f64 x x) y) y) |
(+.f64 (+.f64 (*.f64 y y) x) x) |
| Outputs |
|---|
(+.f64 (+.f64 (*.f64 x x) y) y) |
(+.f64 y (fma.f64 x x y)) |
(+.f64 (+.f64 (*.f64 y y) x) x) |
(+.f64 x (fma.f64 y y x)) |
Compiled 11 to 7 computations (36.4% saved)
| 1× | egg-herbie |
| 4× | fma-def_binary64 |
| 2× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
| 1× | associate-+r+_binary64 |
| 1× | associate-+l+_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 11 | 8 |
| 2 | 15 | 8 |
| 3 | 17 | 8 |
| 4 | 18 | 8 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (+.f64 (*.f64 x x) y) y) |
| Outputs |
|---|
(+.f64 (+.f64 (*.f64 x x) y) y) |
(+.f64 y (fma.f64 x x y)) |
Compiled 15 to 7 computations (53.3% saved)
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 |
|---|---|---|
| ▶ | 0.0b | (+.f64 (+.f64 (*.f64 x x) y) y) |
Compiled 9 to 5 computations (44.4% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (+.f64 (*.f64 x x) y) y) |
Compiled 19 to 5 computations (73.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (+.f64 (+.f64 (*.f64 x x) y) y) |
| 1.0ms | y | @ | 0 | (+.f64 (+.f64 (*.f64 x x) y) y) |
| 1.0ms | x | @ | inf | (+.f64 (+.f64 (*.f64 x x) y) y) |
| 1.0ms | y | @ | inf | (+.f64 (+.f64 (*.f64 x x) y) y) |
| 1.0ms | x | @ | -inf | (+.f64 (+.f64 (*.f64 x x) y) y) |
| 1× | batch-egg-rewrite |
| 850× | pow1_binary64 |
| 796× | add-log-exp_binary64 |
| 796× | log1p-expm1-u_binary64 |
| 796× | expm1-log1p-u_binary64 |
| 778× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 141 | 8 |
| 2 | 2161 | 8 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (+.f64 (*.f64 x x) y) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 y (fma.f64 x x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 x x y) 2) (-.f64 (fma.f64 x x y) y)) (/.f64 (*.f64 y y) (-.f64 (fma.f64 x x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y (fma.f64 x x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 y (fma.f64 x x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 y (fma.f64 x x y))) (pow.f64 (cbrt.f64 (+.f64 y (fma.f64 x x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y (fma.f64 x x y))) 2) (cbrt.f64 (+.f64 y (fma.f64 x x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 y (fma.f64 x x y))) (sqrt.f64 (+.f64 y (fma.f64 x x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x x y) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y (-.f64 y (fma.f64 x x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y y)) (/.f64 1 (-.f64 (fma.f64 x x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y (-.f64 y (fma.f64 x x y)))) (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 x x y) y) (-.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x x y) 3)) (+.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y (-.f64 y (fma.f64 x x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x x y) 3)) (+.f64 (*.f64 y y) (-.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y (fma.f64 x x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y y)) (-.f64 (fma.f64 x x y) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x x y) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y (-.f64 y (fma.f64 x x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x y) 2) (*.f64 y y))) (neg.f64 (-.f64 (fma.f64 x x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (pow.f64 (+.f64 y y) 3)) (+.f64 (pow.f64 x 4) (-.f64 (*.f64 (+.f64 y y) (+.f64 y y)) (*.f64 (*.f64 x x) (+.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (*.f64 (+.f64 y y) (+.f64 y y))) (-.f64 (*.f64 x x) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (pow.f64 (fma.f64 x x y) 2)) (-.f64 y (fma.f64 x x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 y (fma.f64 x x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y (fma.f64 x x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 y (fma.f64 x x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 y (fma.f64 x x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 y (fma.f64 x x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 y (fma.f64 x x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 y (fma.f64 x x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 y (fma.f64 x x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 y (fma.f64 x x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 y (fma.f64 x x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (fma.f64 x x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x x y) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x x y)) 2) (cbrt.f64 (fma.f64 x x y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (fma.f64 x x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 x (sqrt.f64 y)) (hypot.f64 x (sqrt.f64 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (fma.f64 x x y)))))) |
| 1× | egg-herbie |
| 1366× | sqr-pow_binary64 |
| 695× | pow-sqr_binary64 |
| 617× | cube-prod_binary64 |
| 604× | fabs-mul_binary64 |
| 434× | unswap-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 168 |
| 1 | 15 | 168 |
| 2 | 25 | 168 |
| 3 | 36 | 168 |
| 4 | 65 | 168 |
| 5 | 166 | 168 |
| 6 | 593 | 168 |
| 7 | 1458 | 168 |
| 8 | 1642 | 168 |
| 9 | 1826 | 168 |
| 10 | 2034 | 168 |
| 11 | 2329 | 168 |
| 12 | 2722 | 168 |
| 13 | 3203 | 168 |
| 14 | 3771 | 168 |
| 15 | 4453 | 168 |
| 16 | 5290 | 168 |
| 17 | 5682 | 168 |
| 18 | 5970 | 168 |
| 19 | 6242 | 168 |
| 20 | 6314 | 168 |
| 21 | 6350 | 168 |
| 22 | 7291 | 168 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2 y) |
(+.f64 (*.f64 2 y) (pow.f64 x 2)) |
(+.f64 (*.f64 2 y) (pow.f64 x 2)) |
(+.f64 (*.f64 2 y) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (*.f64 2 y) (pow.f64 x 2)) |
(+.f64 (*.f64 2 y) (pow.f64 x 2)) |
(+.f64 (*.f64 2 y) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (*.f64 2 y) (pow.f64 x 2)) |
(+.f64 (*.f64 2 y) (pow.f64 x 2)) |
(+.f64 (*.f64 2 y) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (*.f64 2 y) (pow.f64 x 2)) |
(+.f64 (*.f64 2 y) (pow.f64 x 2)) |
(+.f64 (*.f64 2 y) (pow.f64 x 2)) |
(*.f64 2 y) |
(+.f64 (*.f64 2 y) (pow.f64 x 2)) |
(+.f64 (*.f64 2 y) (pow.f64 x 2)) |
(+.f64 (*.f64 2 y) (pow.f64 x 2)) |
(*.f64 2 y) |
(+.f64 (*.f64 2 y) (pow.f64 x 2)) |
(+.f64 (*.f64 2 y) (pow.f64 x 2)) |
(+.f64 (*.f64 2 y) (pow.f64 x 2)) |
| Outputs |
|---|
(*.f64 2 y) |
(+.f64 (*.f64 2 y) (pow.f64 x 2)) |
(fma.f64 2 y (*.f64 x x)) |
(+.f64 (*.f64 2 y) (pow.f64 x 2)) |
(fma.f64 2 y (*.f64 x x)) |
(+.f64 (*.f64 2 y) (pow.f64 x 2)) |
(fma.f64 2 y (*.f64 x x)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 2 y) (pow.f64 x 2)) |
(fma.f64 2 y (*.f64 x x)) |
(+.f64 (*.f64 2 y) (pow.f64 x 2)) |
(fma.f64 2 y (*.f64 x x)) |
(+.f64 (*.f64 2 y) (pow.f64 x 2)) |
(fma.f64 2 y (*.f64 x x)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 2 y) (pow.f64 x 2)) |
(fma.f64 2 y (*.f64 x x)) |
(+.f64 (*.f64 2 y) (pow.f64 x 2)) |
(fma.f64 2 y (*.f64 x x)) |
(+.f64 (*.f64 2 y) (pow.f64 x 2)) |
(fma.f64 2 y (*.f64 x x)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 2 y) (pow.f64 x 2)) |
(fma.f64 2 y (*.f64 x x)) |
(+.f64 (*.f64 2 y) (pow.f64 x 2)) |
(fma.f64 2 y (*.f64 x x)) |
(+.f64 (*.f64 2 y) (pow.f64 x 2)) |
(fma.f64 2 y (*.f64 x x)) |
(*.f64 2 y) |
(+.f64 (*.f64 2 y) (pow.f64 x 2)) |
(fma.f64 2 y (*.f64 x x)) |
(+.f64 (*.f64 2 y) (pow.f64 x 2)) |
(fma.f64 2 y (*.f64 x x)) |
(+.f64 (*.f64 2 y) (pow.f64 x 2)) |
(fma.f64 2 y (*.f64 x x)) |
(*.f64 2 y) |
(+.f64 (*.f64 2 y) (pow.f64 x 2)) |
(fma.f64 2 y (*.f64 x x)) |
(+.f64 (*.f64 2 y) (pow.f64 x 2)) |
(fma.f64 2 y (*.f64 x x)) |
(+.f64 (*.f64 2 y) (pow.f64 x 2)) |
(fma.f64 2 y (*.f64 x x)) |
Compiled 570 to 189 computations (66.8% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 40 | 3 | 43 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 40 | 4 | 44 |
| Status | Error | Program |
|---|---|---|
| ▶ | 41.7b | (*.f64 x x) |
| ▶ | 0b | (fma.f64 x x (+.f64 y y)) |
| ✓ | 0.0b | (+.f64 (+.f64 (*.f64 x x) y) y) |
| ▶ | 20.2b | (*.f64 2 y) |
Compiled 27 to 16 computations (40.7% saved)
Compiled 7 to 5 computations (28.6% saved)
Compiled 6 to 3 computations (50% saved)
Compiled 13 to 4 computations (69.2% saved)
Compiled 2 to 2 computations (0% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 0 | 4 | 4 |
| Status | Error | Program |
|---|---|---|
| ✓ | 41.7b | (*.f64 x x) |
| ✓ | 0b | (fma.f64 x x (+.f64 y y)) |
| ✓ | 0.0b | (+.f64 (+.f64 (*.f64 x x) y) y) |
| ✓ | 20.2b | (*.f64 2 y) |
Compiled 27 to 16 computations (40.7% saved)
| Inputs |
|---|
(*.f64 x x) |
(*.f64 2 y) |
(+.f64 (+.f64 (*.f64 x x) y) y) |
(fma.f64 x x (+.f64 y y)) |
| Outputs |
|---|
(fma.f64 x x (+.f64 y y)) |
5 calls:
| 7.0ms | (+.f64 (+.f64 (*.f64 x x) y) y) |
| 4.0ms | y |
| 4.0ms | x |
| 3.0ms | (*.f64 x x) |
| 3.0ms | (*.f64 x x) |
| Error | Segments | Branch |
|---|---|---|
| 0b | 1 | x |
| 0b | 1 | y |
| 0b | 1 | (+.f64 (+.f64 (*.f64 x x) y) y) |
| 0b | 1 | (*.f64 x x) |
| 0b | 1 | (*.f64 x x) |
Compiled 46 to 24 computations (47.8% saved)
| Inputs |
|---|
(*.f64 x x) |
(*.f64 2 y) |
(+.f64 (+.f64 (*.f64 x x) y) y) |
| Outputs |
|---|
(+.f64 (+.f64 (*.f64 x x) y) y) |
4 calls:
| 4.0ms | (*.f64 x x) |
| 4.0ms | (+.f64 (+.f64 (*.f64 x x) y) y) |
| 4.0ms | y |
| 4.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | (+.f64 (+.f64 (*.f64 x x) y) y) |
| 0.0b | 1 | (*.f64 x x) |
Compiled 35 to 19 computations (45.7% saved)
Total -53.9b remaining (-683.8%)
Threshold costs -53.9b (-683.8%)
| Inputs |
|---|
(*.f64 x x) |
(*.f64 2 y) |
| Outputs |
|---|
(*.f64 2 y) |
(*.f64 x x) |
(*.f64 2 y) |
(*.f64 x x) |
3 calls:
| 14.0ms | y |
| 11.0ms | x |
| 8.0ms | (*.f64 x x) |
| Error | Segments | Branch |
|---|---|---|
| 8.9b | 3 | x |
| 14.8b | 3 | y |
| 7.9b | 4 | (*.f64 x x) |
Compiled 19 to 12 computations (36.8% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 1.387027967686682e+149 | 6.352878715682755e+150 |
| 19.0ms | 1.1796383788578042e+125 | 3.175248358030749e+127 |
| 15.0ms | 3.568049874465215e+21 | 4.014665515563511e+21 |
Compiled 14 to 9 computations (35.7% saved)
| 1× | egg-herbie |
| 2× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 65 |
| 1 | 23 | 65 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 x x (+.f64 y y)) |
(+.f64 (+.f64 (*.f64 x x) y) y) |
(if (<=.f64 (*.f64 x x) 3568049874465214955520) (*.f64 2 y) (if (<=.f64 (*.f64 x x) 117963837885780423377097427161878231594340065655391584948755350843017668787283971813278587675548491096982050006188571077115904) (*.f64 x x) (if (<=.f64 (*.f64 x x) 138702796768668189897046222189682299842611632919166193591692573423428554638245309624434926975420438777881934215726463876199865915401043240003043328000) (*.f64 2 y) (*.f64 x x)))) |
(*.f64 x x) |
| Outputs |
|---|
(fma.f64 x x (+.f64 y y)) |
(+.f64 (+.f64 (*.f64 x x) y) y) |
(+.f64 y (+.f64 y (*.f64 x x))) |
(if (<=.f64 (*.f64 x x) 3568049874465214955520) (*.f64 2 y) (if (<=.f64 (*.f64 x x) 117963837885780423377097427161878231594340065655391584948755350843017668787283971813278587675548491096982050006188571077115904) (*.f64 x x) (if (<=.f64 (*.f64 x x) 138702796768668189897046222189682299842611632919166193591692573423428554638245309624434926975420438777881934215726463876199865915401043240003043328000) (*.f64 2 y) (*.f64 x x)))) |
(if (<=.f64 (*.f64 x x) 3568049874465214955520) (*.f64 y 2) (if (<=.f64 (*.f64 x x) 117963837885780423377097427161878231594340065655391584948755350843017668787283971813278587675548491096982050006188571077115904) (*.f64 x x) (if (<=.f64 (*.f64 x x) 138702796768668189897046222189682299842611632919166193591692573423428554638245309624434926975420438777881934215726463876199865915401043240003043328000) (*.f64 y 2) (*.f64 x x)))) |
(*.f64 x x) |
Compiled 54 to 28 computations (48.1% saved)
Compiled 48 to 20 computations (58.3% saved)
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