Time bar (total: 3.9s)
| 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 |
| 56.2% | 43.7% | 0.1% | 7 |
| 65.6% | 34.3% | 0.1% | 8 |
| 76.5% | 23.4% | 0.1% | 9 |
| 82% | 18% | 0.1% | 10 |
| 87.8% | 12.1% | 0.1% | 11 |
| 90.7% | 9.2% | 0.1% | 12 |
Compiled 8 to 6 computations (25% saved)
| 1.5s | 8234× | body | 256 | valid |
| 10.0ms | 79× | body | 256 | invalid |
| 3.0ms | 11× | body | 1024 | valid |
| 2.0ms | 6× | body | 2048 | valid |
| 1.0ms | 5× | body | 512 | valid |
| 2× | egg-herbie |
| 86× | fma-neg_binary64 |
| 48× | fma-def_binary64 |
| 26× | cancel-sign-sub-inv_binary64 |
| 24× | distribute-rgt-in_binary64 |
| 22× | associate--r+_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 14 |
| 1 | 14 | 14 |
| 2 | 34 | 14 |
| 3 | 70 | 14 |
| 4 | 114 | 14 |
| 5 | 185 | 14 |
| 6 | 273 | 14 |
| 7 | 374 | 14 |
| 8 | 422 | 14 |
| 9 | 424 | 14 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(*.f64 500 (-.f64 x y)) |
(*.f64 500 (-.f64 y x)) |
| Outputs |
|---|
(*.f64 500 (-.f64 x y)) |
(*.f64 500 (-.f64 y x)) |
Compiled 9 to 7 computations (22.2% saved)
| 1× | egg-herbie |
| 113× | fma-def_binary64 |
| 83× | fma-neg_binary64 |
| 31× | distribute-rgt-in_binary64 |
| 27× | cancel-sign-sub-inv_binary64 |
| 19× | distribute-lft-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 9 | 7 |
| 2 | 20 | 7 |
| 3 | 40 | 7 |
| 4 | 67 | 7 |
| 5 | 96 | 7 |
| 6 | 167 | 7 |
| 7 | 270 | 7 |
| 8 | 383 | 7 |
| 9 | 456 | 7 |
| 10 | 540 | 7 |
| 11 | 556 | 7 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 500 (-.f64 x y)) |
| Outputs |
|---|
(*.f64 500 (-.f64 x y)) |
Compiled 7 to 5 computations (28.6% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (*.f64 500 (-.f64 x y)) |
Compiled 7 to 5 computations (28.6% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 500 (-.f64 x y)) |
Compiled 13 to 6 computations (53.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (*.f64 500 (-.f64 x y)) |
| 1.0ms | x | @ | 0 | (*.f64 500 (-.f64 x y)) |
| 1.0ms | x | @ | -inf | (*.f64 500 (-.f64 x y)) |
| 1.0ms | y | @ | inf | (*.f64 500 (-.f64 x y)) |
| 1.0ms | y | @ | -inf | (*.f64 500 (-.f64 x y)) |
| 1× | batch-egg-rewrite |
| 703× | pow1_binary64 |
| 657× | add-log-exp_binary64 |
| 657× | log1p-expm1-u_binary64 |
| 657× | expm1-log1p-u_binary64 |
| 644× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 131 | 7 |
| 2 | 1735 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 500 (-.f64 x y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 500) (*.f64 (neg.f64 y) 500))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 500 x) (*.f64 500 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 500 (-.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) 500) (fma.f64 x x (*.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 500 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 500 (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 500 (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 500 (-.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 500 (-.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 500 (-.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (-.f64 x y) 2) 250000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 500) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 500 (-.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 500 (-.f64 x y)))))))) |
| 1× | egg-herbie |
| 4× | fma-def_binary64 |
| 2× | *-commutative_binary64 |
| 1× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 168 |
| 1 | 12 | 168 |
| 2 | 15 | 168 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -500 y) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(*.f64 500 x) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(*.f64 500 x) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(*.f64 500 x) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(*.f64 -500 y) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(*.f64 -500 y) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
| Outputs |
|---|
(*.f64 -500 y) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(*.f64 500 x) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(*.f64 500 x) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(*.f64 500 x) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(*.f64 -500 y) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(*.f64 -500 y) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
Compiled 184 to 107 computations (41.8% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 15 | 6 | 21 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 15 | 7 | 22 |
| Status | Error | Program |
|---|---|---|
| ▶ | 31.7b | (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (+.f64 x y)) |
| ✓ | 0.0b | (*.f64 500 (-.f64 x y)) |
| ▶ | 29.6b | (*.f64 500 x) |
| ▶ | 0.0b | (fma.f64 -500 y (*.f64 500 x)) |
| ▶ | 0.0b | (+.f64 (*.f64 500 x) (*.f64 -500 y)) |
| ▶ | 33.9b | (*.f64 -500 y) |
| 46.6b | (sqrt.f64 (*.f64 (pow.f64 (-.f64 x y) 2) 250000)) |
Compiled 111 to 81 computations (27% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 -500 y (*.f64 500 x)) |
Compiled 15 to 10 computations (33.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | 0 | (fma.f64 -500 y (*.f64 500 x)) |
| 1.0ms | y | @ | 0 | (fma.f64 -500 y (*.f64 500 x)) |
| 1.0ms | y | @ | -inf | (fma.f64 -500 y (*.f64 500 x)) |
| 1.0ms | x | @ | inf | (fma.f64 -500 y (*.f64 500 x)) |
| 1.0ms | x | @ | -inf | (fma.f64 -500 y (*.f64 500 x)) |
| 1× | batch-egg-rewrite |
| 606× | pow1_binary64 |
| 560× | add-log-exp_binary64 |
| 560× | log1p-expm1-u_binary64 |
| 560× | expm1-log1p-u_binary64 |
| 550× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 8 |
| 1 | 140 | 8 |
| 2 | 1513 | 8 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 -500 y (*.f64 500 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 500 x) (*.f64 -500 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -500 y) (*.f64 500 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -500 y) 1) (*.f64 500 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -500 y (*.f64 500 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -500 y (*.f64 500 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -500 y (*.f64 500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -500 y (*.f64 500 x))) (pow.f64 (cbrt.f64 (fma.f64 -500 y (*.f64 500 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -500 y (*.f64 500 x))) 2) (cbrt.f64 (fma.f64 -500 y (*.f64 500 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -500 y (*.f64 500 x))) (sqrt.f64 (fma.f64 -500 y (*.f64 500 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -500 y) 3) (pow.f64 (*.f64 500 x) 3)) (+.f64 (*.f64 (*.f64 -500 y) (*.f64 -500 y)) (-.f64 (*.f64 (*.f64 x x) 250000) (*.f64 (*.f64 -500 y) (*.f64 500 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 -500 y) (*.f64 -500 y)) (*.f64 (*.f64 x x) 250000)) (-.f64 (*.f64 -500 y) (*.f64 500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -500 y (*.f64 500 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -500 y (*.f64 500 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -500 y (*.f64 500 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -500 y (*.f64 500 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -500 y (*.f64 500 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -500 y (*.f64 500 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -500 y (*.f64 500 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -500 y (*.f64 500 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -500 y (*.f64 500 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -500 y (*.f64 500 x)))))))) |
| 1× | egg-herbie |
| 4× | fma-def_binary64 |
| 2× | *-commutative_binary64 |
| 1× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 168 |
| 1 | 12 | 168 |
| 2 | 15 | 168 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 500 x) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(*.f64 -500 y) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(*.f64 -500 y) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(*.f64 -500 y) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(*.f64 500 x) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(*.f64 500 x) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
| Outputs |
|---|
(*.f64 500 x) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(*.f64 -500 y) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(*.f64 -500 y) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(*.f64 -500 y) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(*.f64 500 x) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(*.f64 500 x) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
Compiled 7 to 5 computations (28.6% saved)
Compiled 7 to 5 computations (28.6% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 500 x) (*.f64 -500 y)) |
Compiled 19 to 13 computations (31.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | -inf | (+.f64 (*.f64 500 x) (*.f64 -500 y)) |
| 1.0ms | y | @ | inf | (+.f64 (*.f64 500 x) (*.f64 -500 y)) |
| 1.0ms | x | @ | inf | (+.f64 (*.f64 500 x) (*.f64 -500 y)) |
| 1.0ms | x | @ | 0 | (+.f64 (*.f64 500 x) (*.f64 -500 y)) |
| 0.0ms | y | @ | -inf | (+.f64 (*.f64 500 x) (*.f64 -500 y)) |
| 1× | batch-egg-rewrite |
| 850× | pow1_binary64 |
| 793× | add-log-exp_binary64 |
| 793× | log1p-expm1-u_binary64 |
| 793× | expm1-log1p-u_binary64 |
| 778× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 8 |
| 1 | 171 | 8 |
| 2 | 2167 | 8 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 500 x (*.f64 -500 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 500 x) 2) (+.f64 (*.f64 500 x) (*.f64 500 y))) (/.f64 (pow.f64 (*.f64 -500 y) 2) (+.f64 (*.f64 500 x) (*.f64 500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 500 x (*.f64 -500 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 500 x (*.f64 -500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 500 x (*.f64 -500 y))) (pow.f64 (cbrt.f64 (fma.f64 500 x (*.f64 -500 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 500 x (*.f64 -500 y))) 2) (cbrt.f64 (fma.f64 500 x (*.f64 -500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 500 x (*.f64 -500 y))) (sqrt.f64 (fma.f64 500 x (*.f64 -500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 125000000 (pow.f64 x 3)) (*.f64 -125000000 (pow.f64 y 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 500 x) 2) (*.f64 (*.f64 -500 y) (-.f64 (*.f64 -500 y) (*.f64 500 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 500 x) 2) (pow.f64 (*.f64 -500 y) 2)) (/.f64 1 (+.f64 (*.f64 500 x) (*.f64 500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 500 x) 2) (*.f64 (*.f64 -500 y) (-.f64 (*.f64 -500 y) (*.f64 500 x)))) (+.f64 (*.f64 125000000 (pow.f64 x 3)) (*.f64 -125000000 (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 500 x) (*.f64 500 y)) (-.f64 (pow.f64 (*.f64 500 x) 2) (pow.f64 (*.f64 -500 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 125000000 (pow.f64 x 3)) (*.f64 -125000000 (pow.f64 y 3))) (+.f64 (pow.f64 (*.f64 500 x) 2) (*.f64 (*.f64 -500 y) (-.f64 (*.f64 -500 y) (*.f64 500 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 125000000 (pow.f64 x 3)) (*.f64 -125000000 (pow.f64 y 3))) (+.f64 (pow.f64 (*.f64 -500 y) 2) (-.f64 (pow.f64 (*.f64 500 x) 2) (*.f64 500 (*.f64 x (*.f64 -500 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 500 x) 2) (pow.f64 (*.f64 -500 y) 2)) (+.f64 (*.f64 500 x) (*.f64 500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 125000000 (pow.f64 x 3)) (*.f64 -125000000 (pow.f64 y 3)))) (neg.f64 (+.f64 (pow.f64 (*.f64 500 x) 2) (*.f64 (*.f64 -500 y) (-.f64 (*.f64 -500 y) (*.f64 500 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 500 x) 2) (pow.f64 (*.f64 -500 y) 2))) (neg.f64 (+.f64 (*.f64 500 x) (*.f64 500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 -500 y) 2) (pow.f64 (*.f64 500 x) 2)) (-.f64 (*.f64 -500 y) (*.f64 500 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 500 x (*.f64 -500 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 500 x (*.f64 -500 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 500 x (*.f64 -500 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 500 x (*.f64 -500 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 500 x (*.f64 -500 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 500 x (*.f64 -500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 500 x (*.f64 -500 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 500 x (*.f64 -500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 500 x (*.f64 -500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 500 x (*.f64 -500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 500 x (*.f64 -500 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 500 (*.f64 -500 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -500 y (*.f64 500 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y -500 (*.f64 500 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 500 x) (*.f64 -500 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -500 y) (*.f64 500 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -500 y)) 2) (cbrt.f64 (*.f64 -500 y)) (*.f64 500 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 500 x)) 2) (cbrt.f64 (*.f64 500 x)) (*.f64 -500 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -500 y)) (sqrt.f64 (*.f64 -500 y)) (*.f64 500 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 500 x)) (sqrt.f64 (*.f64 500 x)) (*.f64 -500 y)))))) |
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 24 |
| 1 | 9 | 24 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -500 y) |
(*.f64 500 x) |
(*.f64 500 x) |
(*.f64 500 x) |
(*.f64 -500 y) |
(*.f64 -500 y) |
| Outputs |
|---|
(*.f64 -500 y) |
(*.f64 500 x) |
(*.f64 500 x) |
(*.f64 500 x) |
(*.f64 -500 y) |
(*.f64 -500 y) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) |
| ✓ | 2.5b | (-.f64 (*.f64 x x) (*.f64 y y)) |
| ✓ | 29.9b | (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (+.f64 x y)) |
Compiled 43 to 12 computations (72.1% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | 0 | (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (+.f64 x y)) |
| 2.0ms | x | @ | 0 | (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (+.f64 x y)) |
| 1.0ms | y | @ | inf | (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (+.f64 x y)) |
| 1.0ms | x | @ | inf | (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (+.f64 x y)) |
| 1.0ms | y | @ | -inf | (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (+.f64 x y)) |
| 1× | batch-egg-rewrite |
| 591× | log-prod_binary64 |
| 527× | fma-def_binary64 |
| 304× | pow2_binary64 |
| 244× | fma-neg_binary64 |
| 208× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 42 |
| 1 | 235 | 30 |
| 2 | 3520 | 30 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (+.f64 x y)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 500 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 500 (-.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 500 (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 500 (-.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 500 (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 500 (-.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 x y) 1/500)) (/.f64 (*.f64 y y) (*.f64 (+.f64 x y) 1/500)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 1 (*.f64 (+.f64 x y) 1/500)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 500 (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 500 (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 500 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (/.f64 1 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 500 (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 500 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) 2)) (*.f64 (cbrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 500 (-.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 500 (-.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 500 (-.f64 x y))) 2) (cbrt.f64 (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (*.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 500 (-.f64 x y))) (sqrt.f64 (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) -500) (/.f64 1 (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x y)) (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) 500)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 1) (/.f64 500 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) 2)) 1) (/.f64 (cbrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) 1) (/.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 500 (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 500 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) -2) (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) 2)) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (+.f64 x y))) (/.f64 500 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 500 (sqrt.f64 (+.f64 x y))) (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x y) -1/2) (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) 2)) (sqrt.f64 (+.f64 x y))) (/.f64 (cbrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (-.f64 y x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 500 (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 500 (-.f64 x y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 500 (-.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 500 (-.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 500 (-.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 500 (-.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) 3) (pow.f64 (+.f64 x y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (*.f64 500 (-.f64 x y))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 500 (-.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 500 (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 500 (-.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) 3) (pow.f64 (+.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 500 (-.f64 x y))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (*.f64 y (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (fma.f64 y (neg.f64 y) (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 y (neg.f64 y) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 (*.f64 y (neg.f64 y)) 1 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 y) 2)) (pow.f64 (cbrt.f64 y) 4) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) (fma.f64 y (neg.f64 y) (*.f64 y y))))))) 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egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) 2)) (*.f64 500 (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) 2)) (cbrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) 2)) (cbrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (*.f64 500 (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 2) (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 500) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 2) (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 500) (*.f64 500 (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) (*.f64 500 (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) (*.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) 500) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) (*.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) 500) (*.f64 500 (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 500 (+.f64 x y)) (-.f64 x y) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 500 (+.f64 x y)) (-.f64 x y) (*.f64 500 (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 500 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 2)) (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 500 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 2)) (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 500 (fma.f64 y (neg.f64 y) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 500 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y))))) (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) (*.f64 (fma.f64 y (neg.f64 y) (*.f64 y y)) 500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 500 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y))))) (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) (*.f64 500 (fma.f64 y (neg.f64 y) (*.f64 y y)))))))) |
| 1× | egg-herbie |
| 897× | fma-neg_binary64 |
| 784× | fma-def_binary64 |
| 693× | distribute-rgt-neg-in_binary64 |
| 486× | unswap-sqr_binary64 |
| 264× | associate-*l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 690 |
| 1 | 37 | 672 |
| 2 | 68 | 672 |
| 3 | 132 | 672 |
| 4 | 353 | 672 |
| 5 | 1140 | 672 |
| 6 | 2250 | 672 |
| 7 | 5703 | 672 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -500 y) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(*.f64 500 x) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(*.f64 500 x) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(*.f64 500 x) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(*.f64 -500 y) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(*.f64 -500 y) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(*.f64 -1 (pow.f64 y 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(*.f64 -1 (pow.f64 y 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(*.f64 -1 (pow.f64 y 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(*.f64 -500 (pow.f64 y 2)) |
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2))) |
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2))) |
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2))) |
(*.f64 500 (pow.f64 x 2)) |
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2))) |
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2))) |
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2))) |
(*.f64 500 (pow.f64 x 2)) |
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2))) |
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2))) |
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2))) |
(*.f64 500 (pow.f64 x 2)) |
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2))) |
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2))) |
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2))) |
(*.f64 -500 (pow.f64 y 2)) |
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2))) |
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2))) |
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2))) |
(*.f64 -500 (pow.f64 y 2)) |
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2))) |
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2))) |
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2))) |
| Outputs |
|---|
(*.f64 -500 y) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(*.f64 500 x) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(*.f64 500 x) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(*.f64 500 x) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(*.f64 -500 y) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(*.f64 -500 y) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(*.f64 -1 (pow.f64 y 2)) |
(neg.f64 (*.f64 y y)) |
(*.f64 y (neg.f64 y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (+.f64 x y) (-.f64 x y)) |
(fma.f64 x x (neg.f64 (*.f64 y y))) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (+.f64 x y) (-.f64 x y)) |
(fma.f64 x x (neg.f64 (*.f64 y y))) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (+.f64 x y) (-.f64 x y)) |
(fma.f64 x x (neg.f64 (*.f64 y y))) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (+.f64 x y) (-.f64 x y)) |
(fma.f64 x x (neg.f64 (*.f64 y y))) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (+.f64 x y) (-.f64 x y)) |
(fma.f64 x x (neg.f64 (*.f64 y y))) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (+.f64 x y) (-.f64 x y)) |
(fma.f64 x x (neg.f64 (*.f64 y y))) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (+.f64 x y) (-.f64 x y)) |
(fma.f64 x x (neg.f64 (*.f64 y y))) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (+.f64 x y) (-.f64 x y)) |
(fma.f64 x x (neg.f64 (*.f64 y y))) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (+.f64 x y) (-.f64 x y)) |
(fma.f64 x x (neg.f64 (*.f64 y y))) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (+.f64 x y) (-.f64 x y)) |
(fma.f64 x x (neg.f64 (*.f64 y y))) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (+.f64 x y) (-.f64 x y)) |
(fma.f64 x x (neg.f64 (*.f64 y y))) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (+.f64 x y) (-.f64 x y)) |
(fma.f64 x x (neg.f64 (*.f64 y y))) |
(*.f64 -1 (pow.f64 y 2)) |
(neg.f64 (*.f64 y y)) |
(*.f64 y (neg.f64 y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (+.f64 x y) (-.f64 x y)) |
(fma.f64 x x (neg.f64 (*.f64 y y))) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (+.f64 x y) (-.f64 x y)) |
(fma.f64 x x (neg.f64 (*.f64 y y))) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (+.f64 x y) (-.f64 x y)) |
(fma.f64 x x (neg.f64 (*.f64 y y))) |
(*.f64 -1 (pow.f64 y 2)) |
(neg.f64 (*.f64 y y)) |
(*.f64 y (neg.f64 y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (+.f64 x y) (-.f64 x y)) |
(fma.f64 x x (neg.f64 (*.f64 y y))) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (+.f64 x y) (-.f64 x y)) |
(fma.f64 x x (neg.f64 (*.f64 y y))) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 x 2)) |
(fma.f64 -1 (*.f64 y y) (*.f64 x x)) |
(-.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (+.f64 x y) (-.f64 x y)) |
(fma.f64 x x (neg.f64 (*.f64 y y))) |
(*.f64 -500 (pow.f64 y 2)) |
(*.f64 -500 (*.f64 y y)) |
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2))) |
(fma.f64 500 (*.f64 x x) (*.f64 -500 (*.f64 y y))) |
(fma.f64 -500 (*.f64 y y) (*.f64 500 (*.f64 x x))) |
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2))) |
(fma.f64 500 (*.f64 x x) (*.f64 -500 (*.f64 y y))) |
(fma.f64 -500 (*.f64 y y) (*.f64 500 (*.f64 x x))) |
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2))) |
(fma.f64 500 (*.f64 x x) (*.f64 -500 (*.f64 y y))) |
(fma.f64 -500 (*.f64 y y) (*.f64 500 (*.f64 x x))) |
(*.f64 500 (pow.f64 x 2)) |
(*.f64 500 (*.f64 x x)) |
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2))) |
(fma.f64 500 (*.f64 x x) (*.f64 -500 (*.f64 y y))) |
(fma.f64 -500 (*.f64 y y) (*.f64 500 (*.f64 x x))) |
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2))) |
(fma.f64 500 (*.f64 x x) (*.f64 -500 (*.f64 y y))) |
(fma.f64 -500 (*.f64 y y) (*.f64 500 (*.f64 x x))) |
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2))) |
(fma.f64 500 (*.f64 x x) (*.f64 -500 (*.f64 y y))) |
(fma.f64 -500 (*.f64 y y) (*.f64 500 (*.f64 x x))) |
(*.f64 500 (pow.f64 x 2)) |
(*.f64 500 (*.f64 x x)) |
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2))) |
(fma.f64 500 (*.f64 x x) (*.f64 -500 (*.f64 y y))) |
(fma.f64 -500 (*.f64 y y) (*.f64 500 (*.f64 x x))) |
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2))) |
(fma.f64 500 (*.f64 x x) (*.f64 -500 (*.f64 y y))) |
(fma.f64 -500 (*.f64 y y) (*.f64 500 (*.f64 x x))) |
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2))) |
(fma.f64 500 (*.f64 x x) (*.f64 -500 (*.f64 y y))) |
(fma.f64 -500 (*.f64 y y) (*.f64 500 (*.f64 x x))) |
(*.f64 500 (pow.f64 x 2)) |
(*.f64 500 (*.f64 x x)) |
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2))) |
(fma.f64 500 (*.f64 x x) (*.f64 -500 (*.f64 y y))) |
(fma.f64 -500 (*.f64 y y) (*.f64 500 (*.f64 x x))) |
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2))) |
(fma.f64 500 (*.f64 x x) (*.f64 -500 (*.f64 y y))) |
(fma.f64 -500 (*.f64 y y) (*.f64 500 (*.f64 x x))) |
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2))) |
(fma.f64 500 (*.f64 x x) (*.f64 -500 (*.f64 y y))) |
(fma.f64 -500 (*.f64 y y) (*.f64 500 (*.f64 x x))) |
(*.f64 -500 (pow.f64 y 2)) |
(*.f64 -500 (*.f64 y y)) |
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2))) |
(fma.f64 500 (*.f64 x x) (*.f64 -500 (*.f64 y y))) |
(fma.f64 -500 (*.f64 y y) (*.f64 500 (*.f64 x x))) |
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2))) |
(fma.f64 500 (*.f64 x x) (*.f64 -500 (*.f64 y y))) |
(fma.f64 -500 (*.f64 y y) (*.f64 500 (*.f64 x x))) |
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2))) |
(fma.f64 500 (*.f64 x x) (*.f64 -500 (*.f64 y y))) |
(fma.f64 -500 (*.f64 y y) (*.f64 500 (*.f64 x x))) |
(*.f64 -500 (pow.f64 y 2)) |
(*.f64 -500 (*.f64 y y)) |
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2))) |
(fma.f64 500 (*.f64 x x) (*.f64 -500 (*.f64 y y))) |
(fma.f64 -500 (*.f64 y y) (*.f64 500 (*.f64 x x))) |
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2))) |
(fma.f64 500 (*.f64 x x) (*.f64 -500 (*.f64 y y))) |
(fma.f64 -500 (*.f64 y y) (*.f64 500 (*.f64 x x))) |
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2))) |
(fma.f64 500 (*.f64 x x) (*.f64 -500 (*.f64 y y))) |
(fma.f64 -500 (*.f64 y y) (*.f64 500 (*.f64 x x))) |
Compiled 6992 to 2712 computations (61.2% saved)
8 alts after pruning (2 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 349 | 2 | 351 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 350 | 8 | 358 |
| Status | Error | Program |
|---|---|---|
| ✓ | 31.7b | (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (+.f64 x y)) |
| ✓ | 0.0b | (*.f64 500 (-.f64 x y)) |
| ▶ | 0.0b | (fma.f64 x 500 (*.f64 -500 y)) |
| ✓ | 29.6b | (*.f64 500 x) |
| ✓ | 0.0b | (fma.f64 -500 y (*.f64 500 x)) |
| ✓ | 0.0b | (+.f64 (*.f64 500 x) (*.f64 -500 y)) |
| ✓ | 33.9b | (*.f64 -500 y) |
| ▶ | 31.8b | (*.f64 (/.f64 1 (+.f64 x y)) (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) |
Compiled 74 to 52 computations (29.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1 (+.f64 x y)) |
| 0.2b | (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) | |
| 2.5b | (-.f64 (*.f64 x x) (*.f64 y y)) | |
| ✓ | 29.9b | (*.f64 (/.f64 1 (+.f64 x y)) (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) |
Compiled 51 to 17 computations (66.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 1 (+.f64 x y)) (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) |
| 1.0ms | x | @ | 0 | (/.f64 1 (+.f64 x y)) |
| 1.0ms | x | @ | inf | (/.f64 1 (+.f64 x y)) |
| 1.0ms | y | @ | inf | (/.f64 1 (+.f64 x y)) |
| 0.0ms | y | @ | -inf | (/.f64 1 (+.f64 x y)) |
| 1× | batch-egg-rewrite |
| 631× | log-prod_binary64 |
| 586× | fma-def_binary64 |
| 327× | pow2_binary64 |
| 244× | fma-neg_binary64 |
| 226× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 26 |
| 1 | 269 | 14 |
| 2 | 3773 | 14 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (+.f64 x y)) (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) |
(/.f64 1 (+.f64 x y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 500 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) 500)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) 500))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) 500))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) 500))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 500 (-.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (+.f64 x y) 500))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 500 (/.f64 (+.f64 x y) (-.f64 (*.f64 x x) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y)))) 2) (/.f64 (+.f64 x y) (cbrt.f64 (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y)))) (/.f64 (+.f64 x y) (sqrt.f64 (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y)))) (neg.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y))) (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y))) 1) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y)))) (neg.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y))) -1) (neg.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 500 (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (-.f64 x y) 2) 250000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 500 (-.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 500 (-.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 500 (-.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y))) 3) (pow.f64 (+.f64 x y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x y)) 3) (pow.f64 (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y))) 3) (pow.f64 (/.f64 1 (+.f64 x y)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (-.f64 x y) 2) 250000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 x y)) 500))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 500 (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 500 (-.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y))) 3) (pow.f64 (+.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x y)) 3) (pow.f64 (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y))) 3) (pow.f64 (/.f64 1 (+.f64 x y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 500 (-.f64 x y))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 x y))) (cbrt.f64 (pow.f64 (+.f64 x y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x y) -2)) (/.f64 1 (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x y) -1/2) (pow.f64 (+.f64 x y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 1 (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (-.f64 y x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x y) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x y) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (+.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x y))) 1)))))) |
| 1× | egg-herbie |
| 745× | associate-/l*_binary64 |
| 608× | associate-/r*_binary64 |
| 587× | fma-def_binary64 |
| 447× | associate-*l/_binary64 |
| 322× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 684 |
| 1 | 103 | 642 |
| 2 | 296 | 606 |
| 3 | 1225 | 582 |
| 4 | 7857 | 582 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -500 y) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(*.f64 500 x) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(*.f64 500 x) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(*.f64 500 x) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(*.f64 -500 y) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(*.f64 -500 y) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4)))))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))) |
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))) |
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))) |
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4)))))) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4)))))) |
| Outputs |
|---|
(*.f64 -500 y) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(*.f64 500 x) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(*.f64 500 x) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(*.f64 500 x) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(*.f64 -500 y) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(*.f64 -500 y) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) |
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x (*.f64 y y)))) |
(-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))) |
(+.f64 (+.f64 (/.f64 1 y) (neg.f64 (/.f64 x (*.f64 y y)))) (/.f64 (*.f64 x x) (pow.f64 y 3))) |
(+.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 x (/.f64 (pow.f64 y 3) x))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x y) -1))) |
(fma.f64 (/.f64 x (*.f64 y y)) (+.f64 -1 (/.f64 x y)) (/.f64 1 y)) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4)))))) |
(+.f64 (/.f64 (*.f64 x x) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 4)))))) |
(+.f64 (/.f64 x (/.f64 (pow.f64 y 3) x)) (-.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 (pow.f64 x 3) (pow.f64 y 4)))) |
(+.f64 (-.f64 (/.f64 1 y) (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x y) -1))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x (*.f64 y y)) (-.f64 (/.f64 x y) (fma.f64 (/.f64 x y) (/.f64 x y) 1)))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))) |
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (*.f64 x x)))) |
(-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) |
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))) |
(+.f64 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (*.f64 x x)))) (/.f64 (*.f64 y y) (pow.f64 x 3))) |
(+.f64 (-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) (/.f64 y (/.f64 (pow.f64 x 3) y))) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 (/.f64 y x)))) |
(fma.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 (/.f64 y x)) (/.f64 1 x)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))) |
(fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (*.f64 x x)))) (/.f64 (*.f64 y y) (pow.f64 x 3)))) |
(-.f64 (+.f64 (-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) (/.f64 y (/.f64 (pow.f64 x 3) y))) (/.f64 (pow.f64 y 3) (pow.f64 x 4))) |
(+.f64 (/.f64 1 x) (-.f64 (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 (/.f64 y x))) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))) |
(-.f64 (fma.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 (/.f64 y x)) (/.f64 1 x)) (/.f64 (pow.f64 y 3) (pow.f64 x 4))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))) |
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (*.f64 x x)))) |
(-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) |
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))) |
(+.f64 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (*.f64 x x)))) (/.f64 (*.f64 y y) (pow.f64 x 3))) |
(+.f64 (-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) (/.f64 y (/.f64 (pow.f64 x 3) y))) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 (/.f64 y x)))) |
(fma.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 (/.f64 y x)) (/.f64 1 x)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))) |
(fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (*.f64 x x)))) (/.f64 (*.f64 y y) (pow.f64 x 3)))) |
(-.f64 (+.f64 (-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) (/.f64 y (/.f64 (pow.f64 x 3) y))) (/.f64 (pow.f64 y 3) (pow.f64 x 4))) |
(+.f64 (/.f64 1 x) (-.f64 (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 (/.f64 y x))) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))) |
(-.f64 (fma.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 (/.f64 y x)) (/.f64 1 x)) (/.f64 (pow.f64 y 3) (pow.f64 x 4))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))) |
(+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (*.f64 x x)))) |
(-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) |
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))) |
(+.f64 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (*.f64 x x)))) (/.f64 (*.f64 y y) (pow.f64 x 3))) |
(+.f64 (-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) (/.f64 y (/.f64 (pow.f64 x 3) y))) |
(+.f64 (/.f64 1 x) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 (/.f64 y x)))) |
(fma.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 (/.f64 y x)) (/.f64 1 x)) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))) |
(fma.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (*.f64 x x)))) (/.f64 (*.f64 y y) (pow.f64 x 3)))) |
(-.f64 (+.f64 (-.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) (/.f64 y (/.f64 (pow.f64 x 3) y))) (/.f64 (pow.f64 y 3) (pow.f64 x 4))) |
(+.f64 (/.f64 1 x) (-.f64 (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 (/.f64 y x))) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))) |
(-.f64 (fma.f64 (/.f64 y (*.f64 x x)) (+.f64 -1 (/.f64 y x)) (/.f64 1 x)) (/.f64 (pow.f64 y 3) (pow.f64 x 4))) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) |
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x (*.f64 y y)))) |
(-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))) |
(+.f64 (+.f64 (/.f64 1 y) (neg.f64 (/.f64 x (*.f64 y y)))) (/.f64 (*.f64 x x) (pow.f64 y 3))) |
(+.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 x (/.f64 (pow.f64 y 3) x))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x y) -1))) |
(fma.f64 (/.f64 x (*.f64 y y)) (+.f64 -1 (/.f64 x y)) (/.f64 1 y)) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4)))))) |
(+.f64 (/.f64 (*.f64 x x) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 4)))))) |
(+.f64 (/.f64 x (/.f64 (pow.f64 y 3) x)) (-.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 (pow.f64 x 3) (pow.f64 y 4)))) |
(+.f64 (-.f64 (/.f64 1 y) (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x y) -1))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x (*.f64 y y)) (-.f64 (/.f64 x y) (fma.f64 (/.f64 x y) (/.f64 x y) 1)))) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) |
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x (*.f64 y y)))) |
(-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2))))) |
(+.f64 (+.f64 (/.f64 1 y) (neg.f64 (/.f64 x (*.f64 y y)))) (/.f64 (*.f64 x x) (pow.f64 y 3))) |
(+.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 x (/.f64 (pow.f64 y 3) x))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x y) -1))) |
(fma.f64 (/.f64 x (*.f64 y y)) (+.f64 -1 (/.f64 x y)) (/.f64 1 y)) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4)))))) |
(+.f64 (/.f64 (*.f64 x x) (pow.f64 y 3)) (+.f64 (/.f64 1 y) (*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 4)))))) |
(+.f64 (/.f64 x (/.f64 (pow.f64 y 3) x)) (-.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 (pow.f64 x 3) (pow.f64 y 4)))) |
(+.f64 (-.f64 (/.f64 1 y) (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x y) -1))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x (*.f64 y y)) (-.f64 (/.f64 x y) (fma.f64 (/.f64 x y) (/.f64 x y) 1)))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 x 500 (*.f64 -500 y)) |
Compiled 15 to 10 computations (33.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (fma.f64 x 500 (*.f64 -500 y)) |
| 0.0ms | x | @ | -inf | (fma.f64 x 500 (*.f64 -500 y)) |
| 0.0ms | y | @ | inf | (fma.f64 x 500 (*.f64 -500 y)) |
| 0.0ms | y | @ | 0 | (fma.f64 x 500 (*.f64 -500 y)) |
| 0.0ms | y | @ | -inf | (fma.f64 x 500 (*.f64 -500 y)) |
| 1× | batch-egg-rewrite |
| 606× | pow1_binary64 |
| 560× | add-log-exp_binary64 |
| 560× | log1p-expm1-u_binary64 |
| 560× | expm1-log1p-u_binary64 |
| 550× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 8 |
| 1 | 140 | 8 |
| 2 | 1512 | 8 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 x 500 (*.f64 -500 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -500 y) (*.f64 x 500))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 500) (*.f64 -500 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 500) 1) (*.f64 -500 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x 500 (*.f64 -500 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 500 (*.f64 -500 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 500 (*.f64 -500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 500 (*.f64 -500 y))) (pow.f64 (cbrt.f64 (fma.f64 x 500 (*.f64 -500 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 500 (*.f64 -500 y))) 2) (cbrt.f64 (fma.f64 x 500 (*.f64 -500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 500 (*.f64 -500 y))) (sqrt.f64 (fma.f64 x 500 (*.f64 -500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 500) 3) (pow.f64 (*.f64 -500 y) 3)) (+.f64 (*.f64 (*.f64 x 500) (*.f64 x 500)) (-.f64 (*.f64 250000 (*.f64 y y)) (*.f64 (*.f64 x 500) (*.f64 -500 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 500) (*.f64 x 500)) (*.f64 250000 (*.f64 y y))) (-.f64 (*.f64 x 500) (*.f64 -500 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 500 (*.f64 -500 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 500 (*.f64 -500 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 500 (*.f64 -500 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 500 (*.f64 -500 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 500 (*.f64 -500 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 500 (*.f64 -500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 500 (*.f64 -500 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 500 (*.f64 -500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 500 (*.f64 -500 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 500 (*.f64 -500 y)))))))) |
| 1× | egg-herbie |
| 4× | fma-def_binary64 |
| 2× | *-commutative_binary64 |
| 1× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 168 |
| 1 | 12 | 168 |
| 2 | 15 | 168 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -500 y) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(*.f64 500 x) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(*.f64 500 x) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(*.f64 500 x) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(*.f64 -500 y) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(*.f64 -500 y) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
| Outputs |
|---|
(*.f64 -500 y) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(*.f64 500 x) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(*.f64 500 x) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(*.f64 500 x) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(*.f64 -500 y) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(*.f64 -500 y) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(fma.f64 500 x (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
Compiled 7545 to 3067 computations (59.4% saved)
7 alts after pruning (1 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 339 | 1 | 340 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 5 | 7 |
| Total | 341 | 7 | 348 |
| Status | Error | Program |
|---|---|---|
| ✓ | 31.7b | (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (+.f64 x y)) |
| ✓ | 0.0b | (*.f64 500 (-.f64 x y)) |
| ✓ | 0.0b | (fma.f64 x 500 (*.f64 -500 y)) |
| ✓ | 29.6b | (*.f64 500 x) |
| ✓ | 0.0b | (+.f64 (*.f64 500 x) (*.f64 -500 y)) |
| ✓ | 33.9b | (*.f64 -500 y) |
| ▶ | 31.6b | (/.f64 1 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y))))) |
Compiled 66 to 45 computations (31.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 500 (-.f64 x y)) | |
| ✓ | 0.1b | (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y))) |
| ✓ | 0.3b | (/.f64 1 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y))))) |
| ✓ | 29.9b | (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y)))) |
Compiled 54 to 21 computations (61.1% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 34.0ms | x | @ | -inf | (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y))) |
| 1.0ms | x | @ | 0 | (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y)))) |
| 1.0ms | x | @ | inf | (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y)))) |
| 1.0ms | y | @ | 0 | (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y))) |
| 1.0ms | y | @ | 0 | (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y)))) |
| 1× | batch-egg-rewrite |
| 600× | log-prod_binary64 |
| 561× | prod-diff_binary64 |
| 290× | pow2_binary64 |
| 254× | fma-def_binary64 |
| 202× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 54 |
| 1 | 246 | 27 |
| 2 | 3617 | 27 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y)))) |
(/.f64 1 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y))))) |
(*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 500 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 500) (*.f64 (neg.f64 y) 500))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 500 x) (*.f64 500 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 500) (-.f64 x y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 500) (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 500) (-.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 500) (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 500 (-.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 500 (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) 500)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 500 (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) 500)) (/.f64 1 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y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) 500)) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (-.f64 y x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) 500)) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 1/500 (-.f64 x y)) 2))) (cbrt.f64 (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 x y)) (+.f64 x y)) (*.f64 500 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 x y)) (*.f64 500 (-.f64 x y))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 x y)) 1) (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) 500)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) 500))) 2)) (cbrt.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) 500))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 x y)) (sqrt.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) 500)))) (sqrt.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) 500))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 x y)) (*.f64 (+.f64 x y) 500)) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 500 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 500 (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 500 (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/500 (-.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 500 (-.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 500 (-.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 500 (-.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) 500)) 3) (pow.f64 (+.f64 x y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (/.f64 1/500 (-.f64 x y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) 500))) (sqrt.f64 (+.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 250000 (pow.f64 (-.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 500) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 500 (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 500 (-.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) 500)) 3) (pow.f64 (+.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/500 (-.f64 x y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 500 (-.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 500 (*.f64 (neg.f64 y) 500))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 500 x (*.f64 500 (neg.f64 y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) 500)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 500 (-.f64 x y))) (*.f64 y (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 500 (-.f64 x y))) (*.f64 x (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 (+.f64 x y) 500)) (*.f64 (neg.f64 y) (*.f64 (+.f64 x y) 500)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 500 (-.f64 x y)) x) (*.f64 (*.f64 500 (-.f64 x y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 500 (-.f64 x y)) y) (*.f64 (*.f64 500 (-.f64 x y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (+.f64 x y) 500) x) (*.f64 (*.f64 (+.f64 x y) 500) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (*.f64 500 (-.f64 x y)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (*.f64 500 (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (*.f64 500 (-.f64 x y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (*.f64 500 (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) 500)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 500 (-.f64 x y))) (fma.f64 y (-.f64 y x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 500 (-.f64 x y))) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 500 (-.f64 x y)) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (-.f64 y x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 500 (-.f64 x y)) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 x y) 500) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 x y) 500) (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) 500)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) 500)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) 500))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) 500))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 500 (-.f64 x y)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 500 (-.f64 x y)) 3) (pow.f64 (+.f64 x y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) 500)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 x y)) (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) 500)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) 500)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (*.f64 500 (-.f64 x y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 500 (-.f64 x y)) 3) (pow.f64 (+.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) 500))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) 500))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) 500))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) 500))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 500 (-.f64 x y)) (*.f64 y (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (+.f64 x y) 500) (*.f64 (neg.f64 y) (*.f64 (+.f64 x y) 500)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (*.f64 500 (-.f64 x y)) (*.f64 x (*.f64 500 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 500 (-.f64 x y)) x (*.f64 (*.f64 500 (-.f64 x y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 500 (-.f64 x y)) y (*.f64 (*.f64 500 (-.f64 x y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x y) 500) x (*.f64 (*.f64 (+.f64 x y) 500) (neg.f64 y))))))) |
| 1× | egg-herbie |
| 705× | associate-*l*_binary64 |
| 703× | associate-/r*_binary64 |
| 611× | associate-*l/_binary64 |
| 601× | associate-*r*_binary64 |
| 411× | associate-*r/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 1077 |
| 1 | 219 | 933 |
| 2 | 699 | 900 |
| 3 | 1976 | 852 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1/500 y) |
(-.f64 (*.f64 -1/500 (/.f64 x (pow.f64 y 2))) (*.f64 1/500 (/.f64 1 y))) |
(-.f64 (+.f64 (*.f64 -1/500 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -1/500 (/.f64 x (pow.f64 y 2)))) (*.f64 1/500 (/.f64 1 y))) |
(-.f64 (+.f64 (*.f64 -1/500 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (*.f64 -1/500 (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (*.f64 -1/500 (/.f64 x (pow.f64 y 2))))) (*.f64 1/500 (/.f64 1 y))) |
(/.f64 1/500 x) |
(+.f64 (*.f64 1/500 (/.f64 1 x)) (*.f64 1/500 (/.f64 y (pow.f64 x 2)))) |
(+.f64 (*.f64 1/500 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (*.f64 1/500 (/.f64 1 x)) (*.f64 1/500 (/.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 1/500 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (*.f64 1/500 (/.f64 1 x)) (+.f64 (*.f64 1/500 (/.f64 y (pow.f64 x 2))) (*.f64 1/500 (/.f64 (pow.f64 y 3) (pow.f64 x 4)))))) |
(/.f64 1/500 x) |
(+.f64 (*.f64 1/500 (/.f64 1 x)) (*.f64 1/500 (/.f64 y (pow.f64 x 2)))) |
(+.f64 (*.f64 1/500 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (*.f64 1/500 (/.f64 1 x)) (*.f64 1/500 (/.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 1/500 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (*.f64 1/500 (/.f64 1 x)) (+.f64 (*.f64 1/500 (/.f64 y (pow.f64 x 2))) (*.f64 1/500 (/.f64 (pow.f64 y 3) (pow.f64 x 4)))))) |
(/.f64 1/500 x) |
(+.f64 (*.f64 1/500 (/.f64 1 x)) (*.f64 1/500 (/.f64 y (pow.f64 x 2)))) |
(+.f64 (*.f64 1/500 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (*.f64 1/500 (/.f64 1 x)) (*.f64 1/500 (/.f64 y (pow.f64 x 2))))) |
(+.f64 (*.f64 1/500 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (*.f64 1/500 (/.f64 1 x)) (+.f64 (*.f64 1/500 (/.f64 y (pow.f64 x 2))) (*.f64 1/500 (/.f64 (pow.f64 y 3) (pow.f64 x 4)))))) |
(/.f64 -1/500 y) |
(-.f64 (*.f64 -1/500 (/.f64 x (pow.f64 y 2))) (*.f64 1/500 (/.f64 1 y))) |
(-.f64 (+.f64 (*.f64 -1/500 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -1/500 (/.f64 x (pow.f64 y 2)))) (*.f64 1/500 (/.f64 1 y))) |
(-.f64 (+.f64 (*.f64 -1/500 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (*.f64 -1/500 (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (*.f64 -1/500 (/.f64 x (pow.f64 y 2))))) (*.f64 1/500 (/.f64 1 y))) |
(/.f64 -1/500 y) |
(-.f64 (*.f64 -1/500 (/.f64 x (pow.f64 y 2))) (*.f64 1/500 (/.f64 1 y))) |
(-.f64 (+.f64 (*.f64 -1/500 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -1/500 (/.f64 x (pow.f64 y 2)))) (*.f64 1/500 (/.f64 1 y))) |
(-.f64 (+.f64 (*.f64 -1/500 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (*.f64 -1/500 (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (*.f64 -1/500 (/.f64 x (pow.f64 y 2))))) (*.f64 1/500 (/.f64 1 y))) |
(*.f64 -500 y) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(*.f64 500 x) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(*.f64 500 x) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(*.f64 500 x) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(*.f64 -500 y) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(*.f64 -500 y) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(*.f64 -500 (pow.f64 y 2)) |
(+.f64 (*.f64 500 (*.f64 (+.f64 y (*.f64 -1 y)) x)) (*.f64 -500 (pow.f64 y 2))) |
(+.f64 (*.f64 500 (*.f64 (+.f64 y (*.f64 -1 y)) x)) (+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2)))) |
(+.f64 (*.f64 500 (*.f64 (+.f64 y (*.f64 -1 y)) x)) (+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2)))) |
(*.f64 500 (pow.f64 x 2)) |
(+.f64 (*.f64 500 (*.f64 (+.f64 y (*.f64 -1 y)) x)) (*.f64 500 (pow.f64 x 2))) |
(+.f64 (*.f64 500 (*.f64 (+.f64 y (*.f64 -1 y)) x)) (+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2)))) |
(+.f64 (*.f64 500 (*.f64 (+.f64 y (*.f64 -1 y)) x)) (+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2)))) |
(*.f64 500 (pow.f64 x 2)) |
(+.f64 (*.f64 500 (*.f64 (+.f64 y (*.f64 -1 y)) x)) (*.f64 500 (pow.f64 x 2))) |
(+.f64 (*.f64 500 (*.f64 (+.f64 y (*.f64 -1 y)) x)) (+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2)))) |
(+.f64 (*.f64 500 (*.f64 (+.f64 y (*.f64 -1 y)) x)) (+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2)))) |
(*.f64 500 (pow.f64 x 2)) |
(+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 500 (*.f64 y (+.f64 (*.f64 -1 x) x)))) |
(+.f64 (*.f64 500 (pow.f64 x 2)) (+.f64 (*.f64 500 (*.f64 y (+.f64 (*.f64 -1 x) x))) (*.f64 -500 (pow.f64 y 2)))) |
(+.f64 (*.f64 500 (pow.f64 x 2)) (+.f64 (*.f64 500 (*.f64 y (+.f64 (*.f64 -1 x) x))) (*.f64 -500 (pow.f64 y 2)))) |
(*.f64 -500 (pow.f64 y 2)) |
(+.f64 (*.f64 500 (*.f64 y (+.f64 (*.f64 -1 x) x))) (*.f64 -500 (pow.f64 y 2))) |
(+.f64 (*.f64 500 (pow.f64 x 2)) (+.f64 (*.f64 500 (*.f64 y (+.f64 (*.f64 -1 x) x))) (*.f64 -500 (pow.f64 y 2)))) |
(+.f64 (*.f64 500 (pow.f64 x 2)) (+.f64 (*.f64 500 (*.f64 y (+.f64 (*.f64 -1 x) x))) (*.f64 -500 (pow.f64 y 2)))) |
(*.f64 -500 (pow.f64 y 2)) |
(+.f64 (*.f64 -500 (*.f64 y (+.f64 (*.f64 -1 x) x))) (*.f64 -500 (pow.f64 y 2))) |
(+.f64 (*.f64 -500 (*.f64 y (+.f64 (*.f64 -1 x) x))) (+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2)))) |
(+.f64 (*.f64 -500 (*.f64 y (+.f64 (*.f64 -1 x) x))) (+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2)))) |
| Outputs |
|---|
(/.f64 -1/500 y) |
(-.f64 (*.f64 -1/500 (/.f64 x (pow.f64 y 2))) (*.f64 1/500 (/.f64 1 y))) |
(-.f64 (*.f64 -1/500 (/.f64 x (*.f64 y y))) (/.f64 1/500 y)) |
(fma.f64 -1/500 (/.f64 x (*.f64 y y)) (/.f64 -1/500 y)) |
(*.f64 (+.f64 (/.f64 x y) 1) (/.f64 -1/500 y)) |
(-.f64 (+.f64 (*.f64 -1/500 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -1/500 (/.f64 x (pow.f64 y 2)))) (*.f64 1/500 (/.f64 1 y))) |
(-.f64 (*.f64 -1/500 (+.f64 (/.f64 (*.f64 x x) (pow.f64 y 3)) (/.f64 x (*.f64 y y)))) (/.f64 1/500 y)) |
(fma.f64 -1/500 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (/.f64 (pow.f64 y 3) x))) (/.f64 -1/500 y)) |
(fma.f64 -1/500 (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x (*.f64 y y))) (/.f64 -1/500 y)) |
(-.f64 (+.f64 (*.f64 -1/500 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (*.f64 -1/500 (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (*.f64 -1/500 (/.f64 x (pow.f64 y 2))))) (*.f64 1/500 (/.f64 1 y))) |
(-.f64 (fma.f64 -1/500 (/.f64 (*.f64 x x) (pow.f64 y 3)) (*.f64 -1/500 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 4)) (/.f64 x (*.f64 y y))))) (/.f64 1/500 y)) |
(fma.f64 -1/500 (/.f64 x (/.f64 (pow.f64 y 3) x)) (fma.f64 -1/500 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (/.f64 -1/500 y))) |
(fma.f64 -1/500 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 4)) (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x (*.f64 y y)))) (/.f64 -1/500 y)) |
(+.f64 (*.f64 (/.f64 -1/500 y) (+.f64 (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 x y)) (pow.f64 (/.f64 x y) 3))) (/.f64 -1/500 y)) |
(/.f64 1/500 x) |
(+.f64 (*.f64 1/500 (/.f64 1 x)) (*.f64 1/500 (/.f64 y (pow.f64 x 2)))) |
(+.f64 (/.f64 1/500 x) (/.f64 (*.f64 1/500 y) (*.f64 x x))) |
(fma.f64 1/500 (/.f64 y (*.f64 x x)) (/.f64 1/500 x)) |
(*.f64 (+.f64 (/.f64 y x) 1) (/.f64 1/500 x)) |
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(fma.f64 500 (*.f64 x (*.f64 0 y)) (fma.f64 500 (*.f64 x x) (*.f64 (*.f64 y y) -500))) |
(fma.f64 (*.f64 x x) 500 (fma.f64 (*.f64 y y) -500 0)) |
(fma.f64 y (*.f64 y -500) (*.f64 (*.f64 x x) 500)) |
(fma.f64 x (*.f64 x 500) (*.f64 y (*.f64 y -500))) |
(+.f64 (*.f64 500 (pow.f64 x 2)) (+.f64 (*.f64 500 (*.f64 y (+.f64 (*.f64 -1 x) x))) (*.f64 -500 (pow.f64 y 2)))) |
(fma.f64 500 (*.f64 x (*.f64 0 y)) (fma.f64 500 (*.f64 x x) (*.f64 (*.f64 y y) -500))) |
(fma.f64 (*.f64 x x) 500 (fma.f64 (*.f64 y y) -500 0)) |
(fma.f64 y (*.f64 y -500) (*.f64 (*.f64 x x) 500)) |
(fma.f64 x (*.f64 x 500) (*.f64 y (*.f64 y -500))) |
(*.f64 -500 (pow.f64 y 2)) |
(*.f64 (*.f64 y y) -500) |
(*.f64 y (*.f64 y -500)) |
(+.f64 (*.f64 -500 (*.f64 y (+.f64 (*.f64 -1 x) x))) (*.f64 -500 (pow.f64 y 2))) |
(*.f64 (*.f64 y y) -500) |
(*.f64 y (*.f64 y -500)) |
(+.f64 (*.f64 -500 (*.f64 y (+.f64 (*.f64 -1 x) x))) (+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2)))) |
(fma.f64 500 (*.f64 x (*.f64 0 y)) (fma.f64 500 (*.f64 x x) (*.f64 (*.f64 y y) -500))) |
(fma.f64 (*.f64 x x) 500 (fma.f64 (*.f64 y y) -500 0)) |
(fma.f64 y (*.f64 y -500) (*.f64 (*.f64 x x) 500)) |
(fma.f64 x (*.f64 x 500) (*.f64 y (*.f64 y -500))) |
(+.f64 (*.f64 -500 (*.f64 y (+.f64 (*.f64 -1 x) x))) (+.f64 (*.f64 500 (pow.f64 x 2)) (*.f64 -500 (pow.f64 y 2)))) |
(fma.f64 500 (*.f64 x (*.f64 0 y)) (fma.f64 500 (*.f64 x x) (*.f64 (*.f64 y y) -500))) |
(fma.f64 (*.f64 x x) 500 (fma.f64 (*.f64 y y) -500 0)) |
(fma.f64 y (*.f64 y -500) (*.f64 (*.f64 x x) 500)) |
(fma.f64 x (*.f64 x 500) (*.f64 y (*.f64 y -500))) |
Compiled 3512 to 1794 computations (48.9% saved)
9 alts after pruning (3 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 200 | 3 | 203 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 5 | 6 |
| Total | 201 | 9 | 210 |
| Status | Error | Program |
|---|---|---|
| 0.3b | (/.f64 1 (+.f64 0 (/.f64 1/500 (-.f64 x y)))) | |
| ✓ | 31.6b | (/.f64 1 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y))))) |
| 0.0b | (*.f64 (/.f64 (*.f64 (+.f64 x y) 500) 1) (/.f64 (-.f64 x y) (+.f64 x y))) | |
| 0.4b | (/.f64 1 (*.f64 (/.f64 1 (+.f64 x y)) (/.f64 (+.f64 x y) (*.f64 500 (-.f64 x y))))) | |
| ✓ | 31.7b | (/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (+.f64 x y)) |
| ✓ | 0.0b | (*.f64 500 (-.f64 x y)) |
| ✓ | 29.6b | (*.f64 500 x) |
| ✓ | 0.0b | (+.f64 (*.f64 500 x) (*.f64 -500 y)) |
| ✓ | 33.9b | (*.f64 -500 y) |
Compiled 105 to 70 computations (33.3% saved)
| Inputs |
|---|
(*.f64 500 x) |
(*.f64 -500 y) |
(*.f64 500 (-.f64 x y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(/.f64 1 (+.f64 0 (/.f64 1/500 (-.f64 x y)))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (+.f64 x y)) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) 500) 1) (/.f64 (-.f64 x y) (+.f64 x y))) |
(/.f64 1 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y))))) |
(*.f64 (/.f64 1 (+.f64 x y)) (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) |
(/.f64 1 (*.f64 (/.f64 1 (+.f64 x y)) (/.f64 (+.f64 x y) (*.f64 500 (-.f64 x y))))) |
(fma.f64 x 500 (*.f64 -500 y)) |
(fma.f64 -500 y (*.f64 500 x)) |
(sqrt.f64 (*.f64 (pow.f64 (-.f64 x y) 2) 250000)) |
| Outputs |
|---|
(fma.f64 x 500 (*.f64 -500 y)) |
5 calls:
| 37.0ms | (-.f64 x y) |
| 9.0ms | y |
| 8.0ms | (-.f64 x y) |
| 8.0ms | (*.f64 500 (-.f64 x y)) |
| 8.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | (*.f64 500 (-.f64 x y)) |
| 0.0b | 1 | (-.f64 x y) |
| 0.0b | 1 | (-.f64 x y) |
Compiled 147 to 80 computations (45.6% saved)
| Inputs |
|---|
(*.f64 500 x) |
(*.f64 -500 y) |
(*.f64 500 (-.f64 x y)) |
(+.f64 (*.f64 500 x) (*.f64 -500 y)) |
(/.f64 1 (+.f64 0 (/.f64 1/500 (-.f64 x y)))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500) (+.f64 x y)) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) 500) 1) (/.f64 (-.f64 x y) (+.f64 x y))) |
(/.f64 1 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (*.f64 500 (-.f64 x y))))) |
(*.f64 (/.f64 1 (+.f64 x y)) (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 500)) |
(/.f64 1 (*.f64 (/.f64 1 (+.f64 x y)) (/.f64 (+.f64 x y) (*.f64 500 (-.f64 x y))))) |
| Outputs |
|---|
(*.f64 500 (-.f64 x y)) |
4 calls:
| 48.0ms | (-.f64 x y) |
| 28.0ms | x |
| 7.0ms | y |
| 7.0ms | (*.f64 500 (-.f64 x y)) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | (*.f64 500 (-.f64 x y)) |
| 0.0b | 1 | (-.f64 x y) |
Compiled 122 to 64 computations (47.5% saved)
Total -47.3b remaining (-333.9%)
Threshold costs -47.3b (-333.9%)
| Inputs |
|---|
(*.f64 500 x) |
(*.f64 -500 y) |
| Outputs |
|---|
(*.f64 500 x) |
(*.f64 -500 y) |
(*.f64 500 x) |
(*.f64 -500 y) |
(*.f64 500 x) |
2 calls:
| 22.0ms | x |
| 16.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 14.2b | 5 | x |
| 16.0b | 3 | y |
Compiled 14 to 10 computations (28.6% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.4966129188799872e-58 | 1.5412477311307687e-58 |
| 18.0ms | -2.5637148537663068e-148 | -1.2807666987448919e-148 |
| 14.0ms | -2.6679706475365947e-95 | -2.680009127068945e-99 |
| 16.0ms | -9.964282885721964e+31 | -2.9074856682696395e+26 |
Compiled 12 to 9 computations (25% saved)
| 1× | egg-herbie |
| 4× | *-commutative_binary64 |
| 2× | +-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 63 |
| 1 | 28 | 63 |
| 2 | 33 | 63 |
| 3 | 35 | 63 |
| 4 | 36 | 63 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 x 500 (*.f64 -500 y)) |
(*.f64 500 (-.f64 x y)) |
(if (<=.f64 x -99642828857219640793178648346624) (*.f64 500 x) (if (<=.f64 x -4010139312211437/150306725297525326584926758194517569752043683130132471725266622178061377607334940381676735896625196994043838464) (*.f64 -500 y) (if (<=.f64 x -14763433114732200/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (*.f64 500 x) (if (<=.f64 x 17368813385597429760/115792089237316195423570985008687907853269984665640564039457584007913129639936) (*.f64 -500 y) (*.f64 500 x))))) |
(*.f64 500 x) |
| Outputs |
|---|
(fma.f64 x 500 (*.f64 -500 y)) |
(*.f64 500 (-.f64 x y)) |
(if (<=.f64 x -99642828857219640793178648346624) (*.f64 500 x) (if (<=.f64 x -4010139312211437/150306725297525326584926758194517569752043683130132471725266622178061377607334940381676735896625196994043838464) (*.f64 -500 y) (if (<=.f64 x -14763433114732200/57586096570152913699974892898380567793532123114264532903689671329431521032595044740083720782129802971518987656109067457577065805510327036019308994315074097345724416) (*.f64 500 x) (if (<=.f64 x 17368813385597429760/115792089237316195423570985008687907853269984665640564039457584007913129639936) (*.f64 -500 y) (*.f64 500 x))))) |
(if (<=.f64 x -99642828857219640793178648346624) (*.f64 x 500) (if (<=.f64 x -4010139312211437/150306725297525326584926758194517569752043683130132471725266622178061377607334940381676735896625196994043838464) (*.f64 -500 y) (if (<=.f64 x -1845429139341525/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552) (*.f64 x 500) (if (<=.f64 x 8480865910936245/56539106072908298546665520023773392506479484700019806659891398441363832832) (*.f64 -500 y) (*.f64 x 500))))) |
(*.f64 500 x) |
(*.f64 x 500) |
Compiled 53 to 39 computations (26.4% saved)
Compiled 47 to 33 computations (29.8% saved)
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