Time bar (total: 1.6s)
| 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 |
Compiled 7 to 6 computations (14.3% saved)
| 652.0ms | 8256× | body | 256 | valid |
| 2× | egg-herbie |
| 1× | +-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 4 |
| 1 | 10 | 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 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
| 1× | +-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 4 |
| 1 | 10 | 4 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x (/.f64 1 3)) |
| Outputs |
|---|
(+.f64 x (/.f64 1 3)) |
(+.f64 x 1/3) |
Compiled 9 to 7 computations (22.2% saved)
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 4 to 3 computations (25% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x 1/3) |
Compiled 6 to 4 computations (33.3% saved)
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 |
| 473× | pow1_binary64 |
| 468× | add-sqr-sqrt_binary64 |
| 456× | *-un-lft-identity_binary64 |
| 446× | add-log-exp_binary64 |
| 446× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 4 |
| 1 | 91 | 4 |
| 2 | 1150 | 4 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 x 1/3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.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 (+.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 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 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 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 (fma.f64 x x -1/9) (+.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 (neg.f64 (fma.f64 x x -1/9)) (neg.f64 (+.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 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 |
| 1× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 39 |
| 1 | 5 | 39 |
| 1× | saturated |
| Inputs |
|---|
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) |
| Outputs |
|---|
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) |
Compiled 265 to 196 computations (26% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 29 | 4 | 33 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 29 | 5 | 34 |
| Status | Error | Program |
|---|---|---|
| ▶ | 16.5b | (/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x)) |
| ▶ | 0.5b | (-.f64 (+.f64 1 (+.f64 x 1/3)) 1) |
| ✓ | 0.0b | (+.f64 x 1/3) |
| 30.5b | x | |
| 32.4b | 1/3 |
Compiled 26 to 20 computations (23.1% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1 (+.f64 x 1/3)) |
| 0.0b | (+.f64 x 1/3) | |
| ✓ | 0.5b | (-.f64 (+.f64 1 (+.f64 x 1/3)) 1) |
Compiled 19 to 15 computations (21.1% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (-.f64 (+.f64 1 (+.f64 x 1/3)) 1) |
| 0.0ms | x | @ | inf | (+.f64 1 (+.f64 x 1/3)) |
| 0.0ms | x | @ | inf | (-.f64 (+.f64 1 (+.f64 x 1/3)) 1) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 1 (+.f64 x 1/3)) 1) |
| 0.0ms | x | @ | 0 | (+.f64 1 (+.f64 x 1/3)) |
| 1× | batch-egg-rewrite |
| 877× | pow1_binary64 |
| 831× | add-log-exp_binary64 |
| 830× | log1p-expm1-u_binary64 |
| 830× | expm1-log1p-u_binary64 |
| 820× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 168 | 8 |
| 2 | 2419 | 8 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1) |
(+.f64 1 (+.f64 x 1/3)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 x -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 x -2/3) 1))))) (#(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) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 4/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 x 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 x) -2/3)))) (#(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)) (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 (+.f64 x 4/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 1 (+.f64 x 4/3)))))))) (#(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 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (/.f64 1 (+.f64 1 (+.f64 x 4/3))))))) (#(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 (+.f64 (sqrt.f64 (+.f64 x 4/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 4/3)) 1))))) (#(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 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 1 (+.f64 x 4/3))) (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 x 4/3)) (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 1 (+.f64 x 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (-.f64 1 (*.f64 (+.f64 x 4/3) -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 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (+.f64 1 (+.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (-.f64 (+.f64 x 4/3) -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 (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 (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 (pow.f64 (+.f64 x 4/3) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 1 (+.f64 x 4/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1)) (neg.f64 (+.f64 1 (+.f64 x 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x -2/3) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -2/3) (+.f64 x -2/3)) (+.f64 x -2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 x -2/3) (+.f64 x -2/3))) (-.f64 1 (+.f64 x -2/3)))))) (#(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 (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 pow.f64 (pow.f64 (+.f64 x 1/3) 3) 1/3)))) (#(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 (log.f64 (+.f64 x 4/3)))))) (#(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 1 (+.f64 x 4/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (cbrt.f64 (+.f64 x 4/3)) -1)))) (#(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 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)) -1)))) (#(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 x 4/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 2/3 x)) (/.f64 (pow.f64 (+.f64 x 1/3) 2) (-.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 4/3)) (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (cbrt.f64 (+.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (*.f64 (cbrt.f64 (+.f64 x 4/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 4/3)) (*.f64 (sqrt.f64 (+.f64 x 4/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) (/.f64 1 (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2)) (/.f64 1 (-.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3))) (+.f64 1 (pow.f64 (+.f64 x 1/3) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 2/3 x) (-.f64 1 (pow.f64 (+.f64 x 1/3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) (+.f64 (pow.f64 (+.f64 x 1/3) 2) (-.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2)) (-.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3))) (neg.f64 (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2))) (neg.f64 (-.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) 1/27) (+.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) (-.f64 1/9 (*.f64 (+.f64 1 x) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x 1/3) 2) 1) (+.f64 x -2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) 1/9) (-.f64 (+.f64 1 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 x 1/3) 3)) 1) (+.f64 1 (*.f64 (+.f64 x 1/3) (+.f64 x -2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 x 1/3) 2)) 1) (-.f64 2/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x 4/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 4/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 4/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 4/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 4/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/3)) 2) (cbrt.f64 (+.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)) 1))))) |
| 1× | egg-herbie |
| 2× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 78 |
| 1 | 8 | 78 |
| 1× | saturated |
| Inputs |
|---|
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) |
4/3 |
(+.f64 4/3 x) |
(+.f64 4/3 x) |
(+.f64 4/3 x) |
x |
(+.f64 4/3 x) |
(+.f64 4/3 x) |
(+.f64 4/3 x) |
x |
(+.f64 4/3 x) |
(+.f64 4/3 x) |
(+.f64 4/3 x) |
| Outputs |
|---|
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) |
4/3 |
(+.f64 4/3 x) |
(+.f64 x 4/3) |
(+.f64 4/3 x) |
(+.f64 x 4/3) |
(+.f64 4/3 x) |
(+.f64 x 4/3) |
x |
(+.f64 4/3 x) |
(+.f64 x 4/3) |
(+.f64 4/3 x) |
(+.f64 x 4/3) |
(+.f64 4/3 x) |
(+.f64 x 4/3) |
x |
(+.f64 4/3 x) |
(+.f64 x 4/3) |
(+.f64 4/3 x) |
(+.f64 x 4/3) |
(+.f64 4/3 x) |
(+.f64 x 4/3) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 1/9 (*.f64 x x)) |
| ✓ | 15.4b | (/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x)) |
Compiled 24 to 13 computations (45.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | 0 | (/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x)) |
| 1.0ms | x | @ | inf | (/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x)) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x)) |
| 0.0ms | x | @ | 0 | (-.f64 1/9 (*.f64 x x)) |
| 0.0ms | x | @ | inf | (-.f64 1/9 (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 614× | unpow-prod-down_binary64 |
| 430× | log-prod_binary64 |
| 251× | prod-diff_binary64 |
| 244× | pow2_binary64 |
| 241× | pow-prod-down_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 20 |
| 1 | 192 | 11 |
| 2 | 2734 | 11 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x)) |
(-.f64 1/9 (*.f64 x x)) |
| 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) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (/.f64 (-.f64 1/3 x) x)))) (sqrt.f64 (/.f64 x (/.f64 (-.f64 1/3 x) x))) (/.f64 x (/.f64 (-.f64 1/3 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1/3) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 (-.f64 1/3 x)))) (/.f64 x (sqrt.f64 (-.f64 1/3 x))) (/.f64 x (/.f64 (-.f64 1/3 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/9 (-.f64 1/3 x)) (neg.f64 (/.f64 x (/.f64 (-.f64 1/3 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/9 (/.f64 1 (-.f64 1/3 x)) (neg.f64 (*.f64 (/.f64 1 (-.f64 1/3 x)) (*.f64 x x)))) (fma.f64 (neg.f64 (/.f64 1 (-.f64 1/3 x))) (*.f64 x x) (*.f64 (/.f64 1 (-.f64 1/3 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x x 1/9) 1/81) (-.f64 1/729 (pow.f64 x 6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x x 1/9) (-.f64 1/81 (pow.f64 x 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1/9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1/9 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1/9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1/9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 1/9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 1/9 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 1/9 (*.f64 x x)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 1/9 (*.f64 x x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 1/9 (*.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (neg.f64 x) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (neg.f64 x)) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 x) x) (neg.f64 (pow.f64 (cbrt.f64 x) 2)) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) x 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (neg.f64 x))) 2) (cbrt.f64 (*.f64 x (neg.f64 x))) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (neg.f64 x))) (sqrt.f64 (*.f64 x (neg.f64 x))) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 x x) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) 1) x 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 x)) (sqrt.f64 x) 1/9))))) |
| 1× | egg-herbie |
| 667× | distribute-lft-neg-in_binary64 |
| 648× | distribute-rgt-neg-in_binary64 |
| 502× | fma-neg_binary64 |
| 458× | associate-*l*_binary64 |
| 434× | unswap-sqr_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 133 |
| 1 | 19 | 115 |
| 2 | 37 | 115 |
| 3 | 72 | 115 |
| 4 | 159 | 115 |
| 5 | 455 | 115 |
| 6 | 1565 | 115 |
| 7 | 3173 | 115 |
| 8 | 4513 | 115 |
| 9 | 6127 | 115 |
| 10 | 6987 | 115 |
| 1× | node limit |
| Inputs |
|---|
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 1/9 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2))) |
(*.f64 -1 (pow.f64 x 2)) |
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2))) |
(*.f64 -1 (pow.f64 x 2)) |
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2))) |
| Outputs |
|---|
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 1/9 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1/9 (neg.f64 (*.f64 x x))) |
(-.f64 1/9 (*.f64 x x)) |
(neg.f64 (fma.f64 x x -1/9)) |
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1/9 (neg.f64 (*.f64 x x))) |
(-.f64 1/9 (*.f64 x x)) |
(neg.f64 (fma.f64 x x -1/9)) |
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1/9 (neg.f64 (*.f64 x x))) |
(-.f64 1/9 (*.f64 x x)) |
(neg.f64 (fma.f64 x x -1/9)) |
(*.f64 -1 (pow.f64 x 2)) |
(neg.f64 (*.f64 x x)) |
(*.f64 x (neg.f64 x)) |
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1/9 (neg.f64 (*.f64 x x))) |
(-.f64 1/9 (*.f64 x x)) |
(neg.f64 (fma.f64 x x -1/9)) |
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1/9 (neg.f64 (*.f64 x x))) |
(-.f64 1/9 (*.f64 x x)) |
(neg.f64 (fma.f64 x x -1/9)) |
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1/9 (neg.f64 (*.f64 x x))) |
(-.f64 1/9 (*.f64 x x)) |
(neg.f64 (fma.f64 x x -1/9)) |
(*.f64 -1 (pow.f64 x 2)) |
(neg.f64 (*.f64 x x)) |
(*.f64 x (neg.f64 x)) |
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1/9 (neg.f64 (*.f64 x x))) |
(-.f64 1/9 (*.f64 x x)) |
(neg.f64 (fma.f64 x x -1/9)) |
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1/9 (neg.f64 (*.f64 x x))) |
(-.f64 1/9 (*.f64 x x)) |
(neg.f64 (fma.f64 x x -1/9)) |
(+.f64 1/9 (*.f64 -1 (pow.f64 x 2))) |
(+.f64 1/9 (neg.f64 (*.f64 x x))) |
(-.f64 1/9 (*.f64 x x)) |
(neg.f64 (fma.f64 x x -1/9)) |
Compiled 7821 to 5546 computations (29.1% saved)
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 351 | 3 | 354 |
| Fresh | 2 | 0 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 1 | 2 |
| Total | 354 | 5 | 359 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x 1/3) |
| ▶ | 0.5b | (-.f64 (+.f64 x 4/3) 1) |
| ✓ | 16.5b | (/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x)) |
| 30.5b | x | |
| 32.4b | 1/3 |
Compiled 24 to 18 computations (25% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x 4/3) |
| ✓ | 0.5b | (-.f64 (+.f64 x 4/3) 1) |
Compiled 12 to 9 computations (25% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (-.f64 (+.f64 x 4/3) 1) |
| 0.0ms | x | @ | inf | (-.f64 (+.f64 x 4/3) 1) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 x 4/3) 1) |
| 0.0ms | x | @ | inf | (+.f64 x 4/3) |
| 0.0ms | x | @ | -inf | (+.f64 x 4/3) |
| 1× | batch-egg-rewrite |
| 720× | pow1_binary64 |
| 681× | add-log-exp_binary64 |
| 680× | log1p-expm1-u_binary64 |
| 680× | expm1-log1p-u_binary64 |
| 671× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 139 | 8 |
| 2 | 1804 | 8 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 x 4/3) 1) |
(+.f64 x 4/3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 4/3 (-.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 4/3 (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 4/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 x 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/3 x)))) (#(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)) (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 (+.f64 x 4/3) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (/.f64 1 (+.f64 x 7/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 x 4/3)) 1) (-.f64 (sqrt.f64 (+.f64 x 4/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)) (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 7/3) (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1) (+.f64 (pow.f64 (+.f64 x 4/3) 2) (-.f64 1 (*.f64 (+.f64 x 4/3) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (+.f64 x 7/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1) (-.f64 (+.f64 x 4/3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) (+.f64 x 7/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 4/3) 2) -1)) (neg.f64 (+.f64 x 7/3)))))) (#(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 (*.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 (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 (log.f64 (+.f64 x 4/3)))))) (#(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 1 (+.f64 x 4/3) -1)))) (#(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 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (cbrt.f64 (+.f64 x 4/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x 7/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 x -4/3)) (/.f64 16/9 (+.f64 x -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 4/3)) (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (cbrt.f64 (+.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 4/3)) 2) (*.f64 (cbrt.f64 (+.f64 x 4/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 4/3)) (sqrt.f64 (+.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 4/3)) (*.f64 (sqrt.f64 (+.f64 x 4/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 64/27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -16/9) (/.f64 1 (+.f64 x -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3))) (+.f64 64/27 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x -4/3) (fma.f64 x x -16/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/27 (pow.f64 x 3)) (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/27 (pow.f64 x 3)) (+.f64 16/9 (-.f64 (*.f64 x x) (*.f64 x 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -16/9) (+.f64 x -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 64/27 (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x -16/9)) (neg.f64 (+.f64 x -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16/9 (*.f64 x x)) (-.f64 4/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 64/27 (pow.f64 x 3)) 1) (fma.f64 x x (-.f64 16/9 (*.f64 x 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -16/9) 1) (+.f64 x -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x 4/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 4/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 4/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 4/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 4/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) 4/3))))) |
| 1× | egg-herbie |
| 2× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 78 |
| 1 | 8 | 78 |
| 1× | saturated |
| Inputs |
|---|
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) |
4/3 |
(+.f64 4/3 x) |
(+.f64 4/3 x) |
(+.f64 4/3 x) |
x |
(+.f64 4/3 x) |
(+.f64 4/3 x) |
(+.f64 4/3 x) |
x |
(+.f64 4/3 x) |
(+.f64 4/3 x) |
(+.f64 4/3 x) |
| Outputs |
|---|
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) |
4/3 |
(+.f64 4/3 x) |
(+.f64 x 4/3) |
(+.f64 4/3 x) |
(+.f64 x 4/3) |
(+.f64 4/3 x) |
(+.f64 x 4/3) |
x |
(+.f64 4/3 x) |
(+.f64 x 4/3) |
(+.f64 4/3 x) |
(+.f64 x 4/3) |
(+.f64 4/3 x) |
(+.f64 x 4/3) |
x |
(+.f64 4/3 x) |
(+.f64 x 4/3) |
(+.f64 4/3 x) |
(+.f64 x 4/3) |
(+.f64 4/3 x) |
(+.f64 x 4/3) |
Compiled 755 to 600 computations (20.5% saved)
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 79 | 0 | 79 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 79 | 5 | 84 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x 1/3) |
| ✓ | 0.5b | (-.f64 (+.f64 x 4/3) 1) |
| ✓ | 16.5b | (/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x)) |
| 30.5b | x | |
| 32.4b | 1/3 |
Compiled 24 to 18 computations (25% saved)
Compiled 1 to 1 computations (0% saved)
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 3 | 3 |
| Total | 0 | 5 | 5 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x 1/3) |
| ✓ | 0.5b | (-.f64 (+.f64 x 4/3) 1) |
| ✓ | 16.5b | (/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x)) |
| 30.5b | x | |
| 32.4b | 1/3 |
Compiled 24 to 18 computations (25% saved)
| Inputs |
|---|
x |
1/3 |
x |
1/3 |
(+.f64 x 1/3) |
(-.f64 (+.f64 x 4/3) 1) |
(+.f64 x (/.f64 1 3)) |
(-.f64 (+.f64 1 (+.f64 x 1/3)) 1) |
(/.f64 (-.f64 1/9 (*.f64 x x)) (-.f64 1/3 x)) |
| Outputs |
|---|
(+.f64 x 1/3) |
3 calls:
| 43.0ms | (+.f64 x (/.f64 1 3)) |
| 6.0ms | x |
| 4.0ms | (+.f64 x (/.f64 1 3)) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | (+.f64 x (/.f64 1 3)) |
| 0.0b | 1 | (+.f64 x (/.f64 1 3)) |
Compiled 48 to 36 computations (25% saved)
Total -60.6b remaining (-5354.9%)
Threshold costs -60.6b (-5354.9%)
| Inputs |
|---|
x |
1/3 |
x |
1/3 |
| Outputs |
|---|
x |
1/3 |
x |
1 calls:
| 11.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.1b | 3 | x |
Compiled 7 to 4 computations (42.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 7.357464671497419e-7 | 68715.65870822774 |
| 17.0ms | -216712653.40025404 | -0.0032733772091323274 |
Compiled 10 to 8 computations (20% saved)
| 1× | egg-herbie |
| 1× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 20 |
| 1 | 12 | 20 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x 1/3) |
(if (<=.f64 x -7271669992058393/33554432) x (if (<=.f64 x 6948928912715387/9444732965739290427392) 1/3 x)) |
x |
| Outputs |
|---|
(+.f64 x 1/3) |
(if (<=.f64 x -7271669992058393/33554432) x (if (<=.f64 x 6948928912715387/9444732965739290427392) 1/3 x)) |
x |
Compiled 18 to 12 computations (33.3% saved)
| 1× | egg-herbie |
| 1× | +-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 4 |
| 1 | 10 | 4 |
| 1× | saturated |
Compiled 10 to 8 computations (20% saved)
Compiled 16 to 10 computations (37.5% saved)
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