Time bar (total: 1.8s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 25% | 74.9% | 0.1% | 5 |
| 37.5% | 62.4% | 0.1% | 6 |
| 50% | 43.7% | 6.3% | 7 |
| 59.3% | 34.3% | 6.3% | 8 |
| 67.1% | 23.4% | 9.5% | 9 |
| 72.6% | 18% | 9.5% | 10 |
| 76.9% | 12.1% | 11% | 11 |
| 79.8% | 9.2% | 11% | 12 |
| 82% | 6.1% | 11.8% | 13 |
| 83.6% | 4.6% | 11.8% | 14 |
Compiled 12 to 10 computations (16.7% saved)
| 846.0ms | 8256× | body | 128 | valid |
| 11.0ms | 81× | body | 128 | invalid |
| 2× | egg-herbie |
| 36× | fma-def_binary64 |
| 24× | distribute-rgt-in_binary64 |
| 22× | distribute-lft-in_binary64 |
| 15× | *-commutative_binary64 |
| 14× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 20 |
| 1 | 26 | 20 |
| 2 | 49 | 16 |
| 3 | 97 | 16 |
| 4 | 168 | 16 |
| 5 | 180 | 16 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 x (/.f64 16 116)) 3) y) |
(*.f64 (*.f64 (-.f64 y (/.f64 16 116)) 3) x) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 x (/.f64 16 116)) 3) y) |
(*.f64 (+.f64 x -4/29) (*.f64 3 y)) |
(*.f64 (fma.f64 x 3 -12/29) y) |
(*.f64 (*.f64 (-.f64 y (/.f64 16 116)) 3) x) |
(*.f64 x (*.f64 3 (+.f64 y -4/29))) |
(*.f64 x (+.f64 (*.f64 3 y) -12/29)) |
(*.f64 x (fma.f64 3 y -12/29)) |
Compiled 11 to 9 computations (18.2% saved)
| 1× | egg-herbie |
| 18× | fma-def_binary64 |
| 13× | distribute-lft-in_binary64 |
| 13× | distribute-rgt-in_binary64 |
| 10× | *-commutative_binary64 |
| 9× | associate-*l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 10 |
| 1 | 18 | 10 |
| 2 | 33 | 8 |
| 3 | 65 | 8 |
| 4 | 101 | 8 |
| 5 | 107 | 8 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 x (/.f64 16 116)) 3) y) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 x (/.f64 16 116)) 3) y) |
(*.f64 (+.f64 x -4/29) (*.f64 3 y)) |
(*.f64 (fma.f64 x 3 -12/29) y) |
Compiled 17 to 13 computations (23.5% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| 0.2b | (*.f64 (*.f64 (-.f64 x (/.f64 16 116)) 3) y) | |
| ▶ | 0.1b | (*.f64 (fma.f64 x 3 -12/29) y) |
Compiled 38 to 30 computations (21.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 x 3 -12/29) |
| ✓ | 0.2b | (*.f64 (fma.f64 x 3 -12/29) y) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (*.f64 (fma.f64 x 3 -12/29) y) |
| 1.0ms | y | @ | 0 | (*.f64 (fma.f64 x 3 -12/29) y) |
| 1.0ms | x | @ | inf | (*.f64 (fma.f64 x 3 -12/29) y) |
| 1.0ms | x | @ | 0 | (*.f64 (fma.f64 x 3 -12/29) y) |
| 1.0ms | y | @ | inf | (*.f64 (fma.f64 x 3 -12/29) y) |
| 1× | batch-egg-rewrite |
| 628× | pow1_binary64 |
| 583× | add-log-exp_binary64 |
| 583× | log1p-expm1-u_binary64 |
| 583× | expm1-log1p-u_binary64 |
| 69× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 141 | 13 |
| 2 | 1551 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (fma.f64 x 3 -12/29) y) |
(fma.f64 x 3 -12/29) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 3) y) (*.f64 -12/29 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 x 3)) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x 3 -12/29) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x 3 -12/29) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 3 -12/29) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 3 -12/29) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (fma.f64 x 3 -12/29) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 x 3 -12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 x 3 -12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 x 3 -12/29) y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -12/29 (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 3) -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 3) 1) -12/29)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 3 -12/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 3 -12/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 3 -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) (pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 2) (cbrt.f64 (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 3 -12/29)) (sqrt.f64 (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 3) 3) -1728/24389) (+.f64 (*.f64 (*.f64 x 3) (*.f64 x 3)) (-.f64 144/841 (*.f64 (*.f64 x 3) -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 3) (*.f64 x 3)) 144/841) (-.f64 (*.f64 x 3) -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 3 -12/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 3 -12/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 3 -12/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 3 -12/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 3 -12/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 3 -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 3 -12/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 3 -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 3 -12/29))))))) |
| 1× | egg-herbie |
| 8× | fma-def_binary64 |
| 7× | *-commutative_binary64 |
| 2× | +-commutative_binary64 |
| 2× | associate-*r*_binary64 |
| 2× | associate-*l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 303 |
| 1 | 25 | 240 |
| 2 | 38 | 240 |
| 3 | 41 | 240 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -12/29 y) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 3 (*.f64 y x)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 3 (*.f64 y x)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
-12/29 |
(-.f64 (*.f64 3 x) 12/29) |
(-.f64 (*.f64 3 x) 12/29) |
(-.f64 (*.f64 3 x) 12/29) |
(*.f64 3 x) |
(-.f64 (*.f64 3 x) 12/29) |
(-.f64 (*.f64 3 x) 12/29) |
(-.f64 (*.f64 3 x) 12/29) |
(*.f64 3 x) |
(-.f64 (*.f64 3 x) 12/29) |
(-.f64 (*.f64 3 x) 12/29) |
(-.f64 (*.f64 3 x) 12/29) |
| Outputs |
|---|
(*.f64 -12/29 y) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(fma.f64 3 (*.f64 y x) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(fma.f64 3 (*.f64 y x) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(fma.f64 3 (*.f64 y x) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 y (*.f64 3 x)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(fma.f64 3 (*.f64 y x) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(fma.f64 3 (*.f64 y x) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(fma.f64 3 (*.f64 y x) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 y (*.f64 3 x)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(fma.f64 3 (*.f64 y x) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(fma.f64 3 (*.f64 y x) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(fma.f64 3 (*.f64 y x) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(fma.f64 3 (*.f64 y x) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(fma.f64 3 (*.f64 y x) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(fma.f64 3 (*.f64 y x) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(fma.f64 3 (*.f64 y x) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(fma.f64 3 (*.f64 y x) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(fma.f64 3 (*.f64 y x) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(fma.f64 3 (*.f64 y x) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(fma.f64 3 (*.f64 y x) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(fma.f64 3 (*.f64 y x) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(fma.f64 3 (*.f64 y x) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(fma.f64 3 (*.f64 y x) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(fma.f64 3 (*.f64 y x) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
-12/29 |
(-.f64 (*.f64 3 x) 12/29) |
(fma.f64 3 x -12/29) |
(-.f64 (*.f64 3 x) 12/29) |
(fma.f64 3 x -12/29) |
(-.f64 (*.f64 3 x) 12/29) |
(fma.f64 3 x -12/29) |
(*.f64 3 x) |
(-.f64 (*.f64 3 x) 12/29) |
(fma.f64 3 x -12/29) |
(-.f64 (*.f64 3 x) 12/29) |
(fma.f64 3 x -12/29) |
(-.f64 (*.f64 3 x) 12/29) |
(fma.f64 3 x -12/29) |
(*.f64 3 x) |
(-.f64 (*.f64 3 x) 12/29) |
(fma.f64 3 x -12/29) |
(-.f64 (*.f64 3 x) 12/29) |
(fma.f64 3 x -12/29) |
(-.f64 (*.f64 3 x) 12/29) |
(fma.f64 3 x -12/29) |
Compiled 434 to 328 computations (24.4% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 45 | 3 | 48 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 46 | 4 | 50 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (fma.f64 x 3 -12/29) y) |
| ▶ | 0.1b | (+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
| 12.4b | (*.f64 (expm1.f64 (log1p.f64 (fma.f64 x 3 -12/29))) y) | |
| 1.3b | (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 3) |
Compiled 72 to 56 computations (22.2% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
| ✓ | 0.1b | (*.f64 -12/29 y) |
| ✓ | 0.2b | (*.f64 3 (*.f64 y x)) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | (*.f64 3 (*.f64 y x)) |
| 1.0ms | y | @ | 0 | (*.f64 3 (*.f64 y x)) |
| 1.0ms | x | @ | inf | (*.f64 3 (*.f64 y x)) |
| 1.0ms | x | @ | 0 | (*.f64 3 (*.f64 y x)) |
| 1.0ms | y | @ | inf | (+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
| 1× | batch-egg-rewrite |
| 913× | log1p-expm1-u_binary64 |
| 913× | expm1-log1p-u_binary64 |
| 97× | add-sqr-sqrt_binary64 |
| 93× | *-un-lft-identity_binary64 |
| 93× | pow1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 22 |
| 1 | 193 | 22 |
| 2 | 2482 | 22 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 3 (*.f64 y x)) |
(*.f64 -12/29 y) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 3 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 y x) 3) 27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 y x) 3) 27))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 3 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 3 y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y -12/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y -12/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y -12/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y -12/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) -1728/24389) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 y y) 144/841))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -12/29) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) -1728/24389))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y -12/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y -12/29))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2) (+.f64 (*.f64 x (*.f64 3 y)) (*.f64 12/29 y))) (/.f64 (*.f64 (*.f64 y y) 144/841) (+.f64 (*.f64 x (*.f64 3 y)) (*.f64 12/29 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29))) (pow.f64 (cbrt.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29))) 2) (cbrt.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29))) (sqrt.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 (*.f64 y x) 3) 27) (*.f64 (pow.f64 y 3) -1728/24389)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2) (*.f64 (*.f64 y -12/29) (-.f64 (*.f64 y -12/29) (*.f64 x (*.f64 3 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2) (*.f64 (*.f64 y y) 144/841)) (/.f64 1 (+.f64 (*.f64 x (*.f64 3 y)) (*.f64 12/29 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2) (*.f64 (*.f64 y -12/29) (-.f64 (*.f64 y -12/29) (*.f64 x (*.f64 3 y))))) (+.f64 (*.f64 (pow.f64 (*.f64 y x) 3) 27) (*.f64 (pow.f64 y 3) -1728/24389))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 x (*.f64 3 y)) (*.f64 12/29 y)) (-.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2) (*.f64 (*.f64 y y) 144/841))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 (*.f64 y x) 3) 27) (*.f64 (pow.f64 y 3) -1728/24389)) (+.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2) (*.f64 (*.f64 y -12/29) (-.f64 (*.f64 y -12/29) (*.f64 x (*.f64 3 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 (*.f64 y x) 3) 27) (*.f64 (pow.f64 y 3) -1728/24389)) (+.f64 (*.f64 (*.f64 y y) 144/841) (-.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2) (*.f64 (*.f64 y x) (*.f64 3 (*.f64 y -12/29))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2) (*.f64 (*.f64 y y) 144/841)) (+.f64 (*.f64 x (*.f64 3 y)) (*.f64 12/29 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 y x) 3) 27) (*.f64 (pow.f64 y 3) -1728/24389))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2) (*.f64 (*.f64 y -12/29) (-.f64 (*.f64 y -12/29) (*.f64 x (*.f64 3 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2) (*.f64 (*.f64 y y) 144/841))) (neg.f64 (+.f64 (*.f64 x (*.f64 3 y)) (*.f64 12/29 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y y) 144/841) (pow.f64 (*.f64 x (*.f64 3 y)) 2)) (-.f64 (*.f64 y -12/29) (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (*.f64 y x) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y -12/29 (*.f64 x (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y x) 3 (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -12/29 y (*.f64 x (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 3 y)) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y -12/29) (*.f64 x (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 y y) 144/841)) (cbrt.f64 (*.f64 y -12/29)) (*.f64 x (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2) (cbrt.f64 (*.f64 x (*.f64 3 y))) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y -12/29)) (sqrt.f64 (*.f64 y -12/29)) (*.f64 x (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) (sqrt.f64 (*.f64 x (*.f64 3 y))) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 y) x (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29)))))))) |
| 1× | egg-herbie |
| 215× | fma-def_binary64 |
| 173× | fma-neg_binary64 |
| 48× | cancel-sign-sub-inv_binary64 |
| 39× | distribute-rgt-neg-in_binary64 |
| 32× | distribute-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 114 |
| 1 | 41 | 114 |
| 2 | 105 | 114 |
| 3 | 201 | 114 |
| 4 | 261 | 114 |
| 5 | 397 | 114 |
| 6 | 649 | 114 |
| 7 | 891 | 114 |
| 8 | 988 | 114 |
| 9 | 994 | 114 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 -1 (*.f64 y (+.f64 12/29 (*.f64 -3 x)))) |
(*.f64 -1 (*.f64 y (+.f64 12/29 (*.f64 -3 x)))) |
(*.f64 -1 (*.f64 y (+.f64 12/29 (*.f64 -3 x)))) |
(*.f64 -1 (*.f64 y (+.f64 12/29 (*.f64 -3 x)))) |
(*.f64 -12/29 y) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (fma.f64 3 x -12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (fma.f64 3 x -12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (fma.f64 3 x -12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (fma.f64 3 x -12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (fma.f64 3 x -12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (fma.f64 3 x -12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (fma.f64 3 x -12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (fma.f64 3 x -12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 -1 (*.f64 y (+.f64 12/29 (*.f64 -3 x)))) |
(*.f64 (fma.f64 3 x -12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 -1 (*.f64 y (+.f64 12/29 (*.f64 -3 x)))) |
(*.f64 (fma.f64 3 x -12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 -1 (*.f64 y (+.f64 12/29 (*.f64 -3 x)))) |
(*.f64 (fma.f64 3 x -12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 -1 (*.f64 y (+.f64 12/29 (*.f64 -3 x)))) |
(*.f64 (fma.f64 3 x -12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 -12/29 y) |
(*.f64 y -12/29) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 x y)) |
(*.f64 (*.f64 3 x) y) |
(*.f64 x (*.f64 3 y)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 x y)) |
(*.f64 (*.f64 3 x) y) |
(*.f64 x (*.f64 3 y)) |
Compiled 1034 to 696 computations (32.7% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 70 | 3 | 73 |
| Fresh | 1 | 1 | 2 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 72 | 5 | 77 |
| Status | Error | Program |
|---|---|---|
| 31.4b | (+.f64 (*.f64 3 (*.f64 y x)) (sqrt.f64 (*.f64 (*.f64 y y) 144/841))) | |
| 12.4b | (*.f64 (expm1.f64 (log1p.f64 (fma.f64 x 3 -12/29))) y) | |
| 27.2b | (/.f64 1 (/.f64 (+.f64 (*.f64 x (*.f64 3 y)) (*.f64 12/29 y)) (-.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2) (*.f64 (*.f64 y y) 144/841)))) | |
| ▶ | 0.2b | (fma.f64 3 (*.f64 y x) (*.f64 y -12/29)) |
| ✓ | 0.1b | (*.f64 (fma.f64 x 3 -12/29) y) |
Compiled 130 to 96 computations (26.2% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 3 (*.f64 y x) (*.f64 y -12/29)) |
| ✓ | 0.1b | (*.f64 y -12/29) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (fma.f64 3 (*.f64 y x) (*.f64 y -12/29)) |
| 0.0ms | x | @ | -inf | (fma.f64 3 (*.f64 y x) (*.f64 y -12/29)) |
| 0.0ms | y | @ | 0 | (*.f64 y -12/29) |
| 0.0ms | x | @ | 0 | (fma.f64 3 (*.f64 y x) (*.f64 y -12/29)) |
| 0.0ms | y | @ | inf | (fma.f64 3 (*.f64 y x) (*.f64 y -12/29)) |
| 1× | batch-egg-rewrite |
| 723× | pow1_binary64 |
| 669× | add-log-exp_binary64 |
| 669× | log1p-expm1-u_binary64 |
| 669× | expm1-log1p-u_binary64 |
| 79× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 15 |
| 1 | 161 | 15 |
| 2 | 1795 | 15 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y -12/29) |
(fma.f64 3 (*.f64 y x) (*.f64 y -12/29)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y -12/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y -12/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y -12/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y -12/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y -12/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 y y) 144/841))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -12/29) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y -12/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y -12/29))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -12/29) (*.f64 3 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (*.f64 y x)) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3 (*.f64 y x)) 1) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29))) (pow.f64 (cbrt.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29))) 2) (cbrt.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29))) (sqrt.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 3) (pow.f64 (*.f64 y -12/29) 3)) (+.f64 (*.f64 (*.f64 3 (*.f64 y x)) (*.f64 3 (*.f64 y x))) (-.f64 (*.f64 (*.f64 y y) 144/841) (*.f64 (*.f64 3 (*.f64 y x)) (*.f64 y -12/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 3 (*.f64 y x)) (*.f64 3 (*.f64 y x))) (*.f64 (*.f64 y y) 144/841)) (-.f64 (*.f64 3 (*.f64 y x)) (*.f64 y -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 3 (*.f64 y x) (*.f64 y -12/29)))))))) |
| 1× | egg-herbie |
| 217× | fma-def_binary64 |
| 170× | fma-neg_binary64 |
| 47× | cancel-sign-sub-inv_binary64 |
| 39× | distribute-rgt-neg-in_binary64 |
| 32× | distribute-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 234 |
| 1 | 45 | 234 |
| 2 | 112 | 234 |
| 3 | 207 | 234 |
| 4 | 264 | 234 |
| 5 | 400 | 234 |
| 6 | 649 | 234 |
| 7 | 890 | 234 |
| 8 | 987 | 234 |
| 9 | 993 | 234 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -3 x) 12/29))) |
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -3 x) 12/29))) |
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -3 x) 12/29))) |
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -3 x) 12/29))) |
(*.f64 -12/29 y) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 3 (*.f64 y x)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 3 (*.f64 y x)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
| Outputs |
|---|
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 -12/29 y) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -3 x) 12/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -3 x) 12/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -3 x) 12/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -3 x) 12/29))) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 -12/29 y) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 y (*.f64 3 x)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 y (*.f64 3 x)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 y (fma.f64 3 x -12/29)) |
Compiled 489 to 300 computations (38.7% saved)
6 alts after pruning (4 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 39 | 2 | 41 |
| Fresh | 1 | 2 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 40 | 6 | 46 |
| Status | Error | Program |
|---|---|---|
| 27.2b | (/.f64 1 (/.f64 (+.f64 (*.f64 x (*.f64 3 y)) (*.f64 12/29 y)) (-.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2) (*.f64 (*.f64 y y) 144/841)))) | |
| ✓ | 0.2b | (fma.f64 3 (*.f64 y x) (*.f64 y -12/29)) |
| 12.4b | (*.f64 (expm1.f64 (log1p.f64 (fma.f64 x 3 -12/29))) y) | |
| ▶ | 0.1b | (+.f64 (*.f64 y -12/29) (*.f64 3 (*.f64 y x))) |
| ✓ | 0.1b | (*.f64 (fma.f64 x 3 -12/29) y) |
| 31.4b | (fma.f64 3 (*.f64 y x) (sqrt.f64 (*.f64 (*.f64 y y) 144/841))) |
Compiled 140 to 103 computations (26.4% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 y -12/29) (*.f64 3 (*.f64 y x))) |
| 0.1b | (*.f64 y -12/29) | |
| 0.2b | (*.f64 3 (*.f64 y x)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (+.f64 (*.f64 y -12/29) (*.f64 3 (*.f64 y x))) |
| 0.0ms | y | @ | -inf | (+.f64 (*.f64 y -12/29) (*.f64 3 (*.f64 y x))) |
| 0.0ms | y | @ | inf | (+.f64 (*.f64 y -12/29) (*.f64 3 (*.f64 y x))) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 y -12/29) (*.f64 3 (*.f64 y x))) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 y -12/29) (*.f64 3 (*.f64 y x))) |
| 1× | batch-egg-rewrite |
| 470× | log-prod_binary64 |
| 325× | fma-def_binary64 |
| 246× | pow2_binary64 |
| 171× | pow1/3_binary64 |
| 171× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 11 |
| 1 | 193 | 11 |
| 2 | 2493 | 11 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 y -12/29) (*.f64 3 (*.f64 y x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y -12/29 (*.f64 y (*.f64 x 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 y y) 144/841) (fma.f64 y -12/29 (*.f64 -3 (*.f64 y x)))) (/.f64 (pow.f64 (*.f64 y (*.f64 x 3)) 2) (fma.f64 y -12/29 (*.f64 -3 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y -12/29 (*.f64 y (*.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y -12/29 (*.f64 y (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y -12/29 (*.f64 y (*.f64 x 3)))) (pow.f64 (cbrt.f64 (fma.f64 y -12/29 (*.f64 y (*.f64 x 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y -12/29 (*.f64 y (*.f64 x 3)))) 2) (cbrt.f64 (fma.f64 y -12/29 (*.f64 y (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y -12/29 (*.f64 y (*.f64 x 3)))) (sqrt.f64 (fma.f64 y -12/29 (*.f64 y (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 27 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 y -12/29) 3)) (/.f64 1 (fma.f64 (*.f64 y (*.f64 x 3)) (-.f64 (*.f64 y (*.f64 x 3)) (*.f64 y -12/29)) (*.f64 (*.f64 y y) 144/841))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (*.f64 y y) 144/841) (pow.f64 (*.f64 y (*.f64 x 3)) 2)) (/.f64 1 (fma.f64 y -12/29 (*.f64 -3 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 y (*.f64 x 3)) (-.f64 (*.f64 y (*.f64 x 3)) (*.f64 y -12/29)) (*.f64 (*.f64 y y) 144/841)) (fma.f64 27 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 y -12/29) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y -12/29 (*.f64 -3 (*.f64 y x))) (-.f64 (*.f64 (*.f64 y y) 144/841) (pow.f64 (*.f64 y (*.f64 x 3)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 27 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 y -12/29) 3)) (fma.f64 (*.f64 y (*.f64 x 3)) (-.f64 (*.f64 y (*.f64 x 3)) (*.f64 y -12/29)) (*.f64 (*.f64 y y) 144/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 27 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 y -12/29) 3)) (fma.f64 9 (pow.f64 (*.f64 y x) 2) (-.f64 (*.f64 (*.f64 y y) 144/841) (*.f64 (*.f64 (*.f64 y -12/29) (*.f64 y x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y y) 144/841) (pow.f64 (*.f64 y (*.f64 x 3)) 2)) (fma.f64 y -12/29 (*.f64 -3 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 27 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 y -12/29) 3))) (neg.f64 (fma.f64 (*.f64 y (*.f64 x 3)) (-.f64 (*.f64 y (*.f64 x 3)) (*.f64 y -12/29)) (*.f64 (*.f64 y y) 144/841))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) 144/841) (pow.f64 (*.f64 y (*.f64 x 3)) 2))) (neg.f64 (fma.f64 y -12/29 (*.f64 -3 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 x 3)) 2) (*.f64 (*.f64 y y) 144/841)) (-.f64 (*.f64 y (*.f64 x 3)) (*.f64 y -12/29)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y -12/29 (*.f64 y (*.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y -12/29 (*.f64 y (*.f64 x 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y -12/29 (*.f64 y (*.f64 x 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y -12/29 (*.f64 y (*.f64 x 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 x 3)) (-.f64 (*.f64 y (*.f64 x 3)) (*.f64 y -12/29)) (*.f64 (*.f64 y y) 144/841)) (fma.f64 27 (pow.f64 (*.f64 y x) 3) (pow.f64 (*.f64 y -12/29) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 y -12/29 (*.f64 -3 (*.f64 y x))) (-.f64 (*.f64 (*.f64 y y) 144/841) (pow.f64 (*.f64 y (*.f64 x 3)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y -12/29 (*.f64 y (*.f64 x 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y -12/29 (*.f64 y (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y -12/29 (*.f64 y (*.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y -12/29))) (pow.f64 (exp.f64 3) (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -12/29) y) (+.f64 1 (expm1.f64 (*.f64 y (*.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y -12/29))) (+.f64 1 (expm1.f64 (*.f64 y (*.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 x 3)))) (pow.f64 (exp.f64 -12/29) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 3) (*.f64 y x)) (+.f64 1 (expm1.f64 (*.f64 y -12/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 x 3)))) (+.f64 1 (expm1.f64 (*.f64 y -12/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y -12/29 (*.f64 y (*.f64 x 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y -12/29 (*.f64 y (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (*.f64 x 3) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -12/29 y (*.f64 y (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y -12/29) 1 (*.f64 y (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (*.f64 y x) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 y 3) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y x) 3 (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (*.f64 x 3)) 1 (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y -12/29) (*.f64 y (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y (*.f64 x 3)) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y (*.f64 x 3))) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x 3))) 2) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 x 3))) 2) (cbrt.f64 (*.f64 y (*.f64 x 3))) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) -12/29) (*.f64 y (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (*.f64 (cbrt.f64 (*.f64 y x)) 3) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y -12/29)) (pow.f64 (cbrt.f64 (*.f64 y -12/29)) 2) (*.f64 y (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y -12/29)) 2) (cbrt.f64 (*.f64 y -12/29)) (*.f64 y (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (*.f64 x 3))) (sqrt.f64 (*.f64 y (*.f64 x 3))) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) -12/29) (*.f64 y (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y x)) (*.f64 (sqrt.f64 (*.f64 y x)) 3) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y -12/29)) (sqrt.f64 (*.f64 y -12/29)) (*.f64 y (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y 3) x (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 x) y (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (pow.f64 (cbrt.f64 (*.f64 y x)) 2)) (cbrt.f64 (*.f64 y x)) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x)) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y 3) 1) x (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y 3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y 3) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y -12/29))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -12/29 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 y (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -12/29 (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y -12/29 (*.f64 y (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y -12/29 (*.f64 y (*.f64 x 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y -12/29 (*.f64 y (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y -12/29 (*.f64 y (*.f64 x 3))))))))) |
| 1× | egg-herbie |
| 217× | fma-def_binary64 |
| 171× | fma-neg_binary64 |
| 47× | cancel-sign-sub-inv_binary64 |
| 39× | distribute-rgt-neg-in_binary64 |
| 32× | distribute-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 186 |
| 1 | 44 | 186 |
| 2 | 112 | 186 |
| 3 | 207 | 186 |
| 4 | 265 | 186 |
| 5 | 401 | 186 |
| 6 | 651 | 186 |
| 7 | 892 | 186 |
| 8 | 989 | 186 |
| 9 | 995 | 186 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 -1 (*.f64 y (+.f64 12/29 (*.f64 -3 x)))) |
(*.f64 -1 (*.f64 y (+.f64 12/29 (*.f64 -3 x)))) |
(*.f64 -1 (*.f64 y (+.f64 12/29 (*.f64 -3 x)))) |
(*.f64 -1 (*.f64 y (+.f64 12/29 (*.f64 -3 x)))) |
(*.f64 -12/29 y) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 3 (*.f64 y x)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 3 (*.f64 y x)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (fma.f64 3 x -12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (fma.f64 3 x -12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (fma.f64 3 x -12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (fma.f64 3 x -12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (fma.f64 3 x -12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (fma.f64 3 x -12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (fma.f64 3 x -12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 (-.f64 (*.f64 3 x) 12/29) y) |
(*.f64 (fma.f64 3 x -12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 -1 (*.f64 y (+.f64 12/29 (*.f64 -3 x)))) |
(*.f64 (fma.f64 3 x -12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 -1 (*.f64 y (+.f64 12/29 (*.f64 -3 x)))) |
(*.f64 (fma.f64 3 x -12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 -1 (*.f64 y (+.f64 12/29 (*.f64 -3 x)))) |
(*.f64 (fma.f64 3 x -12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 -1 (*.f64 y (+.f64 12/29 (*.f64 -3 x)))) |
(*.f64 (fma.f64 3 x -12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 -12/29 y) |
(*.f64 y -12/29) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 (fma.f64 3 x -12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 (fma.f64 3 x -12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 (fma.f64 3 x -12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 x y)) |
(*.f64 x (*.f64 3 y)) |
(*.f64 y (*.f64 3 x)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 (fma.f64 3 x -12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 (fma.f64 3 x -12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 (fma.f64 3 x -12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 x y)) |
(*.f64 x (*.f64 3 y)) |
(*.f64 y (*.f64 3 x)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 (fma.f64 3 x -12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 (fma.f64 3 x -12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 (fma.f64 3 x -12/29) y) |
(*.f64 y (fma.f64 3 x -12/29)) |
Compiled 1396 to 928 computations (33.5% saved)
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 97 | 3 | 100 |
| Fresh | 1 | 2 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 2 | 2 |
| Total | 99 | 7 | 106 |
| Status | Error | Program |
|---|---|---|
| 31.4b | (+.f64 (sqrt.f64 (*.f64 (*.f64 y y) 144/841)) (*.f64 3 (*.f64 y x))) | |
| 25.9b | (fma.f64 (*.f64 3 (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x)) (*.f64 y -12/29)) | |
| 27.2b | (/.f64 1 (/.f64 (+.f64 (*.f64 x (*.f64 3 y)) (*.f64 12/29 y)) (-.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2) (*.f64 (*.f64 y y) 144/841)))) | |
| ✓ | 0.2b | (fma.f64 3 (*.f64 y x) (*.f64 y -12/29)) |
| 12.4b | (*.f64 (expm1.f64 (log1p.f64 (fma.f64 x 3 -12/29))) y) | |
| 34.5b | (fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) -12/29) (*.f64 y (*.f64 x 3))) | |
| ✓ | 0.1b | (*.f64 (fma.f64 x 3 -12/29) y) |
Compiled 99 to 69 computations (30.3% saved)
Total -60.3b remaining (-42861.5%)
Threshold costs -60.3b (-42861.5%)
| Inputs |
|---|
(+.f64 (sqrt.f64 (*.f64 (*.f64 y y) 144/841)) (*.f64 3 (*.f64 y x))) |
(fma.f64 (*.f64 3 (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x)) (*.f64 y -12/29)) |
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) -12/29) (*.f64 y (*.f64 x 3))) |
(+.f64 (*.f64 y -12/29) (*.f64 3 (*.f64 y x))) |
(fma.f64 3 (*.f64 y x) (sqrt.f64 (*.f64 (*.f64 y y) 144/841))) |
(+.f64 (*.f64 3 (*.f64 y x)) (sqrt.f64 (*.f64 (*.f64 y y) 144/841))) |
(/.f64 1 (/.f64 (+.f64 (*.f64 x (*.f64 3 y)) (*.f64 12/29 y)) (-.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2) (*.f64 (*.f64 y y) 144/841)))) |
(fma.f64 3 (*.f64 y x) (*.f64 y -12/29)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -12/29 y)) |
(*.f64 (expm1.f64 (log1p.f64 (fma.f64 x 3 -12/29))) y) |
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 3 -12/29) y)) 3) |
(*.f64 (fma.f64 x 3 -12/29) y) |
(*.f64 (*.f64 (-.f64 x (/.f64 16 116)) 3) y) |
| Outputs |
|---|
(*.f64 (fma.f64 x 3 -12/29) y) |
| Time | Error | Segments | Branch |
| 10.0ms | 0.1b | 1 | x |
| 8.0ms | 0.1b | 1 | y |
| 9.0ms | 0.1b | 1 | (*.f64 (*.f64 (-.f64 x (/.f64 16 116)) 3) y) |
| 4.0ms | 0.1b | 1 | (*.f64 (-.f64 x (/.f64 16 116)) 3) |
| 7.0ms | 0.1b | 1 | (-.f64 x (/.f64 16 116)) |
Compiled 179 to 116 computations (35.2% saved)
| 1× | egg-herbie |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 8 |
| 1 | 8 | 8 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (fma.f64 x 3 -12/29) y) |
| Outputs |
|---|
(*.f64 (fma.f64 x 3 -12/29) y) |
| 1× | fuel |
Compiled 16 to 12 computations (25% saved)
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