Time bar (total: 1.3s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 50% | 50% | 0% | 3 |
| 75% | 25% | 0% | 4 |
| 87.5% | 12.5% | 0% | 5 |
| 93.7% | 6.2% | 0% | 6 |
| 96.8% | 3.1% | 0% | 7 |
| 98.4% | 1.6% | 0% | 8 |
| 99.2% | 0.8% | 0% | 9 |
| 99.6% | 0.4% | 0% | 10 |
| 99.8% | 0.2% | 0% | 11 |
| 99.9% | 0.1% | 0% | 12 |
| 99.9% | 0% | 0% | 13 |
| 99.9% | 0% | 0% | 14 |
Compiled 7 to 6 computations (14.3% saved)
| 655.0ms | 8256× | body | 128 | valid |
| 2× | egg-herbie |
| 1× | +-commutative_binary64 |
| 1× | sub-neg_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 4 |
| 1 | 12 | 4 |
| 2 | 13 | 4 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(-.f64 x (/.f64 1 3)) |
| Outputs |
|---|
(-.f64 x (/.f64 1 3)) |
(-.f64 x 1/3) |
Compiled 6 to 5 computations (16.7% saved)
| 1× | egg-herbie |
| 1× | +-commutative_binary64 |
| 1× | sub-neg_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 4 |
| 1 | 12 | 4 |
| 2 | 13 | 4 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 x (/.f64 1 3)) |
| Outputs |
|---|
(-.f64 x (/.f64 1 3)) |
(-.f64 x 1/3) |
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (-.f64 x 1/3) |
Compiled 17 to 13 computations (23.5% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x 1/3) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (-.f64 x 1/3) |
| 0.0ms | x | @ | 0 | (-.f64 x 1/3) |
| 0.0ms | x | @ | -inf | (-.f64 x 1/3) |
| 1× | batch-egg-rewrite |
| 479× | pow1_binary64 |
| 452× | add-log-exp_binary64 |
| 452× | log1p-expm1-u_binary64 |
| 452× | expm1-log1p-u_binary64 |
| 445× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 4 |
| 1 | 93 | 4 |
| 2 | 1164 | 4 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 x 1/3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x -1/3)) (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/3)) 2) (cbrt.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x -1/3)) (sqrt.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) -1/27) (/.f64 1 (fma.f64 x x (+.f64 1/9 (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (+.f64 1/9 (*.f64 x 1/3))) (+.f64 (pow.f64 x 3) -1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) -1/27) (fma.f64 x x (+.f64 1/9 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) -1/27) (+.f64 (*.f64 x x) (-.f64 1/9 (*.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1/9) (-.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) -1/27)) (neg.f64 (fma.f64 x x (+.f64 1/9 (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x -1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x -1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2 | 3 |
| 1× | saturated |
| Inputs |
|---|
-1/3 |
x |
x |
| Outputs |
|---|
-1/3 |
x |
x |
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 31 | 1 | 32 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 31 | 2 | 33 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x 1/3) |
| ▶ | 16.6b | (*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3))) |
Compiled 273 to 203 computations (25.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 x x -1/9) |
| ✓ | 0.0b | (+.f64 x 1/3) |
| ✓ | 0.0b | (/.f64 1 (+.f64 x 1/3)) |
| ✓ | 15.5b | (*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3))) |
| 1.0ms | x | @ | 0 | (*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3))) |
| 1.0ms | x | @ | inf | (/.f64 1 (+.f64 x 1/3)) |
| 1.0ms | x | @ | inf | (*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3))) |
| 0.0ms | x | @ | 0 | (/.f64 1 (+.f64 x 1/3)) |
| 1× | batch-egg-rewrite |
| 848× | log1p-expm1-u_binary64 |
| 848× | expm1-log1p-u_binary64 |
| 94× | add-sqr-sqrt_binary64 |
| 88× | add-cbrt-cube_binary64 |
| 88× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 27 |
| 1 | 194 | 20 |
| 2 | 2355 | 20 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x 1/3))) |
(/.f64 1 (+.f64 x 1/3)) |
(+.f64 x 1/3) |
(fma.f64 x x -1/9) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) (/.f64 1 (+.f64 x 1/3))) (*.f64 -1/9 (/.f64 1 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 x 1/3)) (*.f64 x x)) (*.f64 (/.f64 1 (+.f64 x 1/3)) -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 1/3) (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1/9) 2)) (/.f64 (+.f64 x 1/3) (cbrt.f64 (fma.f64 x x -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 x x -1/9)) (/.f64 (+.f64 x 1/3) (sqrt.f64 (fma.f64 x x -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x -1/9)) (+.f64 -1/3 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x x -1/9) (sqrt.f64 (+.f64 x 1/3))) (sqrt.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x x -1/9) 1) (+.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x x -1/9) (cbrt.f64 (pow.f64 (+.f64 x 1/3) 2))) (cbrt.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) 1/27) (+.f64 (*.f64 x x) (+.f64 1/9 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (fma.f64 x x -1/9)) (+.f64 -1/3 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1/9) -1) (+.f64 -1/3 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x -1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x -1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x -1/9) 3) (pow.f64 (+.f64 x 1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1/9) 3) (pow.f64 (/.f64 1 (+.f64 x 1/3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x 1/3)) 3) (pow.f64 (fma.f64 x x -1/9) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1/3))) (cbrt.f64 (pow.f64 (+.f64 x 1/3) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x 1/3) -2)) (/.f64 1 (cbrt.f64 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1/3) -1/2) (pow.f64 (+.f64 x 1/3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 -1/3 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1/3) 2)) -1) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x 1/3)) -1) (pow.f64 (sqrt.f64 (+.f64 x 1/3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1/27 (pow.f64 x 3))) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1/9)) (+.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 x 1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1/3) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 1/3) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x 1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x 1/3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x 1/3))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 x -1/3)) (/.f64 1/9 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -1/9) (/.f64 1 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 1/3)) (cbrt.f64 (pow.f64 (+.f64 x 1/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x 1/3) 2)) (cbrt.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1/9) (+.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))) (+.f64 1/27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x -1/3) (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (+.f64 x 1/3) 2)) (/.f64 1 (cbrt.f64 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 x 1/3)) (pow.f64 (+.f64 x 1/3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/3 (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/27 (pow.f64 x 3)) (+.f64 1/9 (-.f64 (*.f64 x x) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 1/9 (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x 1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/9 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) -1/9)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) 1) -1/9)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x x) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x x -1/9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -1/9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x x -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x -1/9)) (cbrt.f64 (pow.f64 (fma.f64 x x -1/9) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1/9) 2)) (cbrt.f64 (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1/9) 2)) (*.f64 (cbrt.f64 (fma.f64 x x -1/9)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x x -1/9)) (sqrt.f64 (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x x -1/9)) (*.f64 (sqrt.f64 (fma.f64 x x -1/9)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x x) 3) 1/729) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 1/81 (*.f64 (*.f64 x x) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x x) 3) -1/729) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 1/81 (*.f64 (*.f64 x x) -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 1/81) (+.f64 (*.f64 x x) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 1/81) (-.f64 (*.f64 x x) -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x -1/9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x -1/9) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x -1/9)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x x -1/9)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x -1/9) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x -1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x -1/9) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x x -1/9)) 1)))))) |
| 1× | egg-herbie |
| 718× | fma-def_binary64 |
| 415× | times-frac_binary64 |
| 285× | associate-/l/_binary64 |
| 273× | associate-*r/_binary64 |
| 239× | associate-*l/_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 331 |
| 1 | 102 | 309 |
| 2 | 244 | 309 |
| 3 | 649 | 303 |
| 4 | 1875 | 300 |
| 1× | node limit |
| Inputs |
|---|
-1/3 |
(-.f64 x 1/3) |
(-.f64 x 1/3) |
(-.f64 x 1/3) |
x |
(-.f64 x 1/3) |
(-.f64 x 1/3) |
(-.f64 x 1/3) |
x |
(-.f64 x 1/3) |
(-.f64 x 1/3) |
(-.f64 x 1/3) |
3 |
(+.f64 (*.f64 -9 x) 3) |
(+.f64 (*.f64 -9 x) (+.f64 3 (*.f64 27 (pow.f64 x 2)))) |
(+.f64 (*.f64 -9 x) (+.f64 (*.f64 -81 (pow.f64 x 3)) (+.f64 3 (*.f64 27 (pow.f64 x 2))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 1/3 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/3 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (*.f64 1/27 (/.f64 1 (pow.f64 x 4))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 1/3 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/3 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (*.f64 1/27 (/.f64 1 (pow.f64 x 4))))) |
1/3 |
(+.f64 1/3 x) |
(+.f64 1/3 x) |
(+.f64 1/3 x) |
x |
(+.f64 1/3 x) |
(+.f64 1/3 x) |
(+.f64 1/3 x) |
x |
(+.f64 1/3 x) |
(+.f64 1/3 x) |
(+.f64 1/3 x) |
-1/9 |
(-.f64 (pow.f64 x 2) 1/9) |
(-.f64 (pow.f64 x 2) 1/9) |
(-.f64 (pow.f64 x 2) 1/9) |
(pow.f64 x 2) |
(-.f64 (pow.f64 x 2) 1/9) |
(-.f64 (pow.f64 x 2) 1/9) |
(-.f64 (pow.f64 x 2) 1/9) |
(pow.f64 x 2) |
(-.f64 (pow.f64 x 2) 1/9) |
(-.f64 (pow.f64 x 2) 1/9) |
(-.f64 (pow.f64 x 2) 1/9) |
| Outputs |
|---|
-1/3 |
(-.f64 x 1/3) |
(+.f64 x -1/3) |
(-.f64 x 1/3) |
(+.f64 x -1/3) |
(-.f64 x 1/3) |
(+.f64 x -1/3) |
x |
(-.f64 x 1/3) |
(+.f64 x -1/3) |
(-.f64 x 1/3) |
(+.f64 x -1/3) |
(-.f64 x 1/3) |
(+.f64 x -1/3) |
x |
(-.f64 x 1/3) |
(+.f64 x -1/3) |
(-.f64 x 1/3) |
(+.f64 x -1/3) |
(-.f64 x 1/3) |
(+.f64 x -1/3) |
3 |
(+.f64 (*.f64 -9 x) 3) |
(fma.f64 -9 x 3) |
(fma.f64 x -9 3) |
(+.f64 (*.f64 -9 x) (+.f64 3 (*.f64 27 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -9 x 3) (*.f64 27 (*.f64 x x))) |
(fma.f64 x -9 (fma.f64 27 (*.f64 x x) 3)) |
(fma.f64 x -9 (fma.f64 x (*.f64 x 27) 3)) |
(fma.f64 x (fma.f64 x 27 -9) 3) |
(+.f64 (*.f64 -9 x) (+.f64 (*.f64 -81 (pow.f64 x 3)) (+.f64 3 (*.f64 27 (pow.f64 x 2))))) |
(fma.f64 -9 x (fma.f64 -81 (pow.f64 x 3) (+.f64 3 (*.f64 27 (*.f64 x x))))) |
(fma.f64 x -9 (fma.f64 -81 (pow.f64 x 3) (fma.f64 27 (*.f64 x x) 3))) |
(fma.f64 x -9 (fma.f64 x (*.f64 x 27) (fma.f64 -81 (pow.f64 x 3) 3))) |
(fma.f64 (*.f64 x x) (fma.f64 x -81 27) (fma.f64 x -9 3)) |
(fma.f64 x (fma.f64 x (fma.f64 x -81 27) -9) 3) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 1/3 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 x) (/.f64 1/3 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -1/3 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 (/.f64 -1/3 x) x)) |
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/3 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1/9 (pow.f64 x 3))) (/.f64 1/3 (*.f64 x x))) |
(+.f64 (/.f64 1/9 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1/3 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (/.f64 -1/3 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (/.f64 (/.f64 -1/3 x) x))) |
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (*.f64 1/27 (/.f64 1 (pow.f64 x 4))))) |
(-.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/9 (pow.f64 x 3))) (/.f64 1/3 (*.f64 x x))) (/.f64 1/27 (pow.f64 x 4))) |
(+.f64 (/.f64 1/9 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 (/.f64 1/3 x) x) (/.f64 1/27 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (+.f64 (/.f64 -1/3 (*.f64 x x)) (/.f64 -1/27 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (-.f64 (/.f64 (/.f64 -1/3 x) x) (/.f64 1/27 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (/.f64 -1/3 x) x) (*.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 1/9 (/.f64 -1/27 x))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 1/3 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 x) (/.f64 1/3 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -1/3 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 (/.f64 -1/3 x) x)) |
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/3 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1/9 (pow.f64 x 3))) (/.f64 1/3 (*.f64 x x))) |
(+.f64 (/.f64 1/9 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1/3 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (/.f64 -1/3 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (/.f64 (/.f64 -1/3 x) x))) |
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (*.f64 1/27 (/.f64 1 (pow.f64 x 4))))) |
(-.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/9 (pow.f64 x 3))) (/.f64 1/3 (*.f64 x x))) (/.f64 1/27 (pow.f64 x 4))) |
(+.f64 (/.f64 1/9 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 (/.f64 1/3 x) x) (/.f64 1/27 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (+.f64 (/.f64 -1/3 (*.f64 x x)) (/.f64 -1/27 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (-.f64 (/.f64 (/.f64 -1/3 x) x) (/.f64 1/27 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (/.f64 -1/3 x) x) (*.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 1/9 (/.f64 -1/27 x))))) |
1/3 |
(+.f64 1/3 x) |
(+.f64 x 1/3) |
(+.f64 1/3 x) |
(+.f64 x 1/3) |
(+.f64 1/3 x) |
(+.f64 x 1/3) |
x |
(+.f64 1/3 x) |
(+.f64 x 1/3) |
(+.f64 1/3 x) |
(+.f64 x 1/3) |
(+.f64 1/3 x) |
(+.f64 x 1/3) |
x |
(+.f64 1/3 x) |
(+.f64 x 1/3) |
(+.f64 1/3 x) |
(+.f64 x 1/3) |
(+.f64 1/3 x) |
(+.f64 x 1/3) |
-1/9 |
(-.f64 (pow.f64 x 2) 1/9) |
(+.f64 (*.f64 x x) -1/9) |
(fma.f64 x x -1/9) |
(-.f64 (pow.f64 x 2) 1/9) |
(+.f64 (*.f64 x x) -1/9) |
(fma.f64 x x -1/9) |
(-.f64 (pow.f64 x 2) 1/9) |
(+.f64 (*.f64 x x) -1/9) |
(fma.f64 x x -1/9) |
(pow.f64 x 2) |
(*.f64 x x) |
(-.f64 (pow.f64 x 2) 1/9) |
(+.f64 (*.f64 x x) -1/9) |
(fma.f64 x x -1/9) |
(-.f64 (pow.f64 x 2) 1/9) |
(+.f64 (*.f64 x x) -1/9) |
(fma.f64 x x -1/9) |
(-.f64 (pow.f64 x 2) 1/9) |
(+.f64 (*.f64 x x) -1/9) |
(fma.f64 x x -1/9) |
(pow.f64 x 2) |
(*.f64 x x) |
(-.f64 (pow.f64 x 2) 1/9) |
(+.f64 (*.f64 x x) -1/9) |
(fma.f64 x x -1/9) |
(-.f64 (pow.f64 x 2) 1/9) |
(+.f64 (*.f64 x x) -1/9) |
(fma.f64 x x -1/9) |
(-.f64 (pow.f64 x 2) 1/9) |
(+.f64 (*.f64 x x) -1/9) |
(fma.f64 x x -1/9) |
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 147 | 1 | 148 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 148 | 2 | 150 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x 1/3) |
| ▶ | 32.7b | (*.f64 (fma.f64 x x -1/9) (-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x 1/3)))) 1)) |
Compiled 2010 to 1462 computations (27.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x 1/3)))) |
| 0.0b | (/.f64 1 (+.f64 x 1/3)) | |
| ✓ | 2.8b | (-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x 1/3)))) 1) |
| ✓ | 16.3b | (*.f64 (fma.f64 x x -1/9) (-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x 1/3)))) 1)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | x | @ | inf | (*.f64 (fma.f64 x x -1/9) (-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x 1/3)))) 1)) |
| 9.0ms | x | @ | 0 | (*.f64 (fma.f64 x x -1/9) (-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x 1/3)))) 1)) |
| 7.0ms | x | @ | -inf | (*.f64 (fma.f64 x x -1/9) (-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x 1/3)))) 1)) |
| 0.0ms | x | @ | 0 | (-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x 1/3)))) 1) |
| 0.0ms | x | @ | inf | (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x 1/3)))) |
| 1× | batch-egg-rewrite |
| 463× | log-prod_binary64 |
| 251× | prod-diff_binary64 |
| 193× | log1p-udef_binary64 |
| 192× | expm1-udef_binary64 |
| 160× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 32 |
| 1 | 258 | 21 |
| 2 | 2991 | 21 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (fma.f64 x x -1/9) (-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x 1/3)))) 1)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x 1/3)))) 1) |
(exp.f64 (log1p.f64 (/.f64 1 (+.f64 x 1/3)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 (/.f64 1 (+.f64 x 1/3))) (fma.f64 x x -1/9)) (*.f64 -1 (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) (/.f64 1 (+.f64 x 1/3))) (*.f64 -1/9 (/.f64 1 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 x x -1/9) (+.f64 1 (/.f64 1 (+.f64 x 1/3)))) (*.f64 (fma.f64 x x -1/9) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 x 1/3)) (*.f64 x x)) (*.f64 (/.f64 1 (+.f64 x 1/3)) -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 x -1/3))) (cbrt.f64 (exp.f64 (+.f64 x -1/3))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 x -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 x -1/3)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 x -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1/9) (+.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) 1/27) (fma.f64 x x (+.f64 1/9 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (fma.f64 x x -1/9)) (neg.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1/9) -1) (neg.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 1 (+.f64 x 1/3))))) (fma.f64 x x -1/9)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 x 1/3))) 2) (+.f64 1 (+.f64 1 (/.f64 1 (+.f64 x 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1 (+.f64 x 1/3))))) (fma.f64 x x -1/9)) (+.f64 1 (+.f64 1 (/.f64 1 (+.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1/9) (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 1 (+.f64 x 1/3)))))) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 x 1/3))) 2) (+.f64 1 (+.f64 1 (/.f64 1 (+.f64 x 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1/9) (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1 (+.f64 x 1/3)))))) (+.f64 1 (+.f64 1 (/.f64 1 (+.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x -1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x -1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1/9) 3) (pow.f64 (/.f64 1 (+.f64 x 1/3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x 1/3)) 3) (pow.f64 (fma.f64 x x -1/9) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x x -1/9) (+.f64 1 (/.f64 1 (+.f64 x 1/3))) (*.f64 (fma.f64 x x -1/9) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 x 1/3)) (*.f64 x x) (*.f64 (/.f64 1 (+.f64 x 1/3)) -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 1 (+.f64 x 1/3))) (fma.f64 x x -1/9) (*.f64 -1 (fma.f64 x x -1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (/.f64 1 (+.f64 x 1/3)) (*.f64 -1/9 (/.f64 1 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) -1/3))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 1 (+.f64 x 1/3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 1 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x 1/3)))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x 1/3)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x 1/3))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1/3))) (cbrt.f64 (pow.f64 (+.f64 x 1/3) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x 1/3) -2)) (/.f64 1 (cbrt.f64 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1/3) -1/2) (pow.f64 (+.f64 x 1/3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 1 (+.f64 x 1/3))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 x 1/3))) 2) (+.f64 1 (+.f64 1 (/.f64 1 (+.f64 x 1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1 (+.f64 x 1/3))))) (/.f64 1 (+.f64 1 (+.f64 1 (/.f64 1 (+.f64 x 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x 1/3)) -1) (pow.f64 (sqrt.f64 (+.f64 x 1/3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1/3) -1/2)) 1) (-.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1/3) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1/27 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1/9)) (+.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (+.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (neg.f64 (neg.f64 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 x 1/3))) 2) (+.f64 1 (+.f64 1 (/.f64 1 (+.f64 x 1/3))))) (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 1 (+.f64 x 1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 1 (/.f64 1 (+.f64 x 1/3)))) (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1 (+.f64 x 1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 x 1/3) -1/2) (sqrt.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x 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(cbrt.f64 (+.f64 x 1/3)) 2)) (cbrt.f64 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 x 1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1/3) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 1/3) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x 1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x 1/3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x 1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 1 (+.f64 x 1/3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 1 (+.f64 x 1/3))) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x 1/3)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x 1/3)))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x 1/3)))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x 1/3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x 1/3)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x 1/3)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1/3) -1/2)) (hypot.f64 1 (pow.f64 (+.f64 x 1/3) -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1/3) -1/2)) (*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1/3) -1/2)) 1) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 1 (+.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 1 (/.f64 1 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (+.f64 1 (/.f64 1 (+.f64 x 1/3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 1 (+.f64 x 1/3))))) (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 1 (+.f64 x 1/3))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 1 (+.f64 x 1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 1 (+.f64 x 1/3)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 1 (+.f64 x 1/3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 1 (/.f64 1 (+.f64 x 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 1 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 1 (+.f64 x 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x 1/3)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x 1/3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x 1/3)))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x 1/3)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x 1/3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1/3) -1/2)) (hypot.f64 1 (pow.f64 (+.f64 x 1/3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1/3) -1/2)) (*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1/3) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 1 (+.f64 x 1/3)) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x 1/3) -2) (/.f64 1 (+.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) -2)) (-.f64 1 (/.f64 1 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 1 (+.f64 x 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log1p.f64 (/.f64 1 (+.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x 1/3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1/3) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 x 1/3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 1 (+.f64 x 1/3))))) (sqrt.f64 (log1p.f64 (/.f64 1 (+.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 (+.f64 x 1/3))) 2))) (cbrt.f64 (log1p.f64 (/.f64 1 (+.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 x 1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 1 (+.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 1 (+.f64 x 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 x 1/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 1 (+.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 (+.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (+.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (+.f64 1 (/.f64 1 (+.f64 x 1/3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 x 1/3)) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (+.f64 x 1/3))) (cbrt.f64 (pow.f64 (+.f64 x 1/3) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 1/3) -2)) (/.f64 1 (cbrt.f64 (+.f64 x 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1/3) -1/2) (pow.f64 (+.f64 x 1/3) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (neg.f64 (+.f64 x 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 1 (+.f64 x 1/3))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 x 1/3))) 2) (+.f64 1 (+.f64 1 (/.f64 1 (+.f64 x 1/3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1 (+.f64 x 1/3))))) (/.f64 1 (+.f64 1 (+.f64 1 (/.f64 1 (+.f64 x 1/3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (+.f64 1 (/.f64 1 (+.f64 x 1/3)))) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (+.f64 1 (/.f64 1 (+.f64 x 1/3))))) (cbrt.f64 (+.f64 1 (+.f64 1 (/.f64 1 (+.f64 x 1/3)))))) (cbrt.f64 (+.f64 1 (+.f64 1 (/.f64 1 (+.f64 x 1/3))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1/3) -1/2))) (hypot.f64 1 (hypot.f64 1 (pow.f64 (+.f64 x 1/3) -1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x 1/3)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 (+.f64 x 1/3)) -1) (pow.f64 (sqrt.f64 (+.f64 x 1/3)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1/3) -1/2)) 1) (-.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1/3) -1/2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1/27 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1/9) (*.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (fma.f64 x x -1/9)) (+.f64 x -1/3) 1))))) |
| 1× | egg-herbie |
| 416× | fma-def_binary64 |
| 415× | times-frac_binary64 |
| 280× | associate-/l/_binary64 |
| 273× | associate-*r/_binary64 |
| 243× | associate-*l/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 359 |
| 1 | 128 | 351 |
| 2 | 312 | 351 |
| 3 | 832 | 339 |
| 4 | 2207 | 339 |
| 1× | node limit |
| Inputs |
|---|
-1/3 |
(-.f64 x 1/3) |
(-.f64 x 1/3) |
(-.f64 x 1/3) |
x |
(-.f64 x 1/3) |
(-.f64 x 1/3) |
(-.f64 x 1/3) |
x |
(-.f64 x 1/3) |
(-.f64 x 1/3) |
(-.f64 x 1/3) |
3 |
(+.f64 (*.f64 -9 x) 3) |
(+.f64 (*.f64 -9 x) (+.f64 3 (*.f64 27 (pow.f64 x 2)))) |
(+.f64 (*.f64 -9 x) (+.f64 (*.f64 -81 (pow.f64 x 3)) (+.f64 3 (*.f64 27 (pow.f64 x 2))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 1/3 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/3 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (*.f64 1/27 (/.f64 1 (pow.f64 x 4))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 1/3 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/3 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (*.f64 1/27 (/.f64 1 (pow.f64 x 4))))) |
4 |
(+.f64 (*.f64 -9 x) 4) |
(+.f64 (*.f64 -9 x) (+.f64 4 (*.f64 27 (pow.f64 x 2)))) |
(+.f64 (*.f64 -9 x) (+.f64 (*.f64 -81 (pow.f64 x 3)) (+.f64 4 (*.f64 27 (pow.f64 x 2))))) |
1 |
(+.f64 1 (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 x)) (*.f64 1/3 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/3 (/.f64 1 (pow.f64 x 2)))) |
1 |
(+.f64 1 (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 x)) (*.f64 1/3 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/3 (/.f64 1 (pow.f64 x 2)))) |
| Outputs |
|---|
-1/3 |
(-.f64 x 1/3) |
(+.f64 x -1/3) |
(-.f64 x 1/3) |
(+.f64 x -1/3) |
(-.f64 x 1/3) |
(+.f64 x -1/3) |
x |
(-.f64 x 1/3) |
(+.f64 x -1/3) |
(-.f64 x 1/3) |
(+.f64 x -1/3) |
(-.f64 x 1/3) |
(+.f64 x -1/3) |
x |
(-.f64 x 1/3) |
(+.f64 x -1/3) |
(-.f64 x 1/3) |
(+.f64 x -1/3) |
(-.f64 x 1/3) |
(+.f64 x -1/3) |
3 |
(+.f64 (*.f64 -9 x) 3) |
(fma.f64 -9 x 3) |
(fma.f64 x -9 3) |
(+.f64 (*.f64 -9 x) (+.f64 3 (*.f64 27 (pow.f64 x 2)))) |
(fma.f64 -9 x (+.f64 3 (*.f64 27 (*.f64 x x)))) |
(fma.f64 x -9 (fma.f64 27 (*.f64 x x) 3)) |
(fma.f64 x -9 (fma.f64 x (*.f64 x 27) 3)) |
(fma.f64 x (fma.f64 x 27 -9) 3) |
(+.f64 (*.f64 -9 x) (+.f64 (*.f64 -81 (pow.f64 x 3)) (+.f64 3 (*.f64 27 (pow.f64 x 2))))) |
(fma.f64 -9 x (fma.f64 -81 (pow.f64 x 3) (+.f64 3 (*.f64 27 (*.f64 x x))))) |
(fma.f64 x -9 (fma.f64 -81 (pow.f64 x 3) (fma.f64 27 (*.f64 x x) 3))) |
(fma.f64 x -9 (fma.f64 x (*.f64 x 27) (fma.f64 -81 (pow.f64 x 3) 3))) |
(fma.f64 (*.f64 x x) (fma.f64 x -81 27) (fma.f64 x -9 3)) |
(fma.f64 x -9 (fma.f64 (*.f64 x x) (fma.f64 x -81 27) 3)) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 1/3 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 x) (/.f64 1/3 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -1/3 (*.f64 x x))) |
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/3 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1/9 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/3 (*.f64 x x)))) |
(+.f64 (/.f64 1/9 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1/3 (*.f64 x x)))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1/9 (pow.f64 x 3))) (/.f64 -1/3 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (/.f64 -1/3 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (*.f64 1/27 (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1/9 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 1/27 (pow.f64 x 4))))) |
(+.f64 (/.f64 1/9 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 1 x) (/.f64 -1/3 (*.f64 x x))) (/.f64 1/27 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/9 (pow.f64 x 3)) (+.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 1/27 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1/27 (pow.f64 x 4)) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (/.f64 -1/3 (*.f64 x x))))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1/3 (*.f64 x x))) (-.f64 (/.f64 1/9 (pow.f64 x 3)) (/.f64 1/27 (pow.f64 x 4)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 1/3 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 x) (/.f64 1/3 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -1/3 (*.f64 x x))) |
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/3 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1/9 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/3 (*.f64 x x)))) |
(+.f64 (/.f64 1/9 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1/3 (*.f64 x x)))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1/9 (pow.f64 x 3))) (/.f64 -1/3 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (/.f64 -1/3 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 2))) (*.f64 1/27 (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1/9 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 1/27 (pow.f64 x 4))))) |
(+.f64 (/.f64 1/9 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 1 x) (/.f64 -1/3 (*.f64 x x))) (/.f64 1/27 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/9 (pow.f64 x 3)) (+.f64 (/.f64 1/3 (*.f64 x x)) (/.f64 1/27 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1/27 (pow.f64 x 4)) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (/.f64 -1/3 (*.f64 x x))))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1/3 (*.f64 x x))) (-.f64 (/.f64 1/9 (pow.f64 x 3)) (/.f64 1/27 (pow.f64 x 4)))) |
4 |
(+.f64 (*.f64 -9 x) 4) |
(fma.f64 -9 x 4) |
(fma.f64 x -9 4) |
(+.f64 (*.f64 -9 x) (+.f64 4 (*.f64 27 (pow.f64 x 2)))) |
(+.f64 (fma.f64 -9 x 4) (*.f64 27 (*.f64 x x))) |
(fma.f64 x -9 (fma.f64 27 (*.f64 x x) 4)) |
(fma.f64 x -9 (fma.f64 x (*.f64 x 27) 4)) |
(fma.f64 x (fma.f64 x 27 -9) 4) |
(+.f64 (*.f64 -9 x) (+.f64 (*.f64 -81 (pow.f64 x 3)) (+.f64 4 (*.f64 27 (pow.f64 x 2))))) |
(fma.f64 -9 x (fma.f64 -81 (pow.f64 x 3) (+.f64 (*.f64 27 (*.f64 x x)) 4))) |
(fma.f64 x -9 (fma.f64 -81 (pow.f64 x 3) (fma.f64 27 (*.f64 x x) 4))) |
(fma.f64 x -9 (fma.f64 x (*.f64 x 27) (fma.f64 -81 (pow.f64 x 3) 4))) |
(fma.f64 (*.f64 x x) (fma.f64 x -81 27) (fma.f64 x -9 4)) |
(fma.f64 x -9 (fma.f64 (*.f64 x x) (fma.f64 x -81 27) 4)) |
1 |
(+.f64 1 (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 x)) (*.f64 1/3 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1 (-.f64 (/.f64 1 x) (/.f64 1/3 (*.f64 x x)))) |
(+.f64 (+.f64 1 (/.f64 1 x)) (/.f64 -1/3 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (+.f64 1 (/.f64 -1/3 (*.f64 x x)))) |
(+.f64 1 (+.f64 (/.f64 1 x) (/.f64 -1/3 (*.f64 x x)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/3 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1 (+.f64 (/.f64 1/9 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/3 (*.f64 x x))))) |
(+.f64 1 (+.f64 (/.f64 1/9 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1/3 (*.f64 x x))))) |
(+.f64 (/.f64 1/9 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 1 (/.f64 -1/3 (*.f64 x x))))) |
(+.f64 (/.f64 1/9 (pow.f64 x 3)) (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 -1/3 (*.f64 x x))))) |
(+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (/.f64 -1/3 (*.f64 x x))))) |
1 |
(+.f64 1 (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 x)) (*.f64 1/3 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1 (-.f64 (/.f64 1 x) (/.f64 1/3 (*.f64 x x)))) |
(+.f64 (+.f64 1 (/.f64 1 x)) (/.f64 -1/3 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (+.f64 1 (/.f64 -1/3 (*.f64 x x)))) |
(+.f64 1 (+.f64 (/.f64 1 x) (/.f64 -1/3 (*.f64 x x)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/3 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 1 (+.f64 (/.f64 1/9 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/3 (*.f64 x x))))) |
(+.f64 1 (+.f64 (/.f64 1/9 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1/3 (*.f64 x x))))) |
(+.f64 (/.f64 1/9 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 1 (/.f64 -1/3 (*.f64 x x))))) |
(+.f64 (/.f64 1/9 (pow.f64 x 3)) (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 -1/3 (*.f64 x x))))) |
(+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1/9 (pow.f64 x 3)) (/.f64 -1/3 (*.f64 x x))))) |
2 alts after pruning (0 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 206 | 0 | 206 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 206 | 2 | 208 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x 1/3) |
| ✓ | 32.7b | (*.f64 (fma.f64 x x -1/9) (-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x 1/3)))) 1)) |
Compiled 3610 to 2871 computations (20.5% saved)
Total -30.5b remaining (-359343.9%)
Threshold costs -30.5b (-359343.9%)
Compiled 143 to 108 computations (24.5% saved)
| 1× | egg-herbie |
| 1× | +-commutative_binary64 |
| 1× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 4 |
| 1 | 7 | 4 |
| 2 | 8 | 4 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 x 1/3) |
| Outputs |
|---|
(-.f64 x 1/3) |
(+.f64 x -1/3) |
| 1× | done |
Compiled 25 to 19 computations (24% saved)
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