Time bar (total: 3.6s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 50% | 50% | 0% | 3 |
| 50% | 25% | 25% | 4 |
| 62.5% | 12.5% | 25% | 5 |
| 68.7% | 6.2% | 25% | 6 |
| 71.8% | 3.1% | 25% | 7 |
| 73.4% | 1.6% | 25% | 8 |
| 74.2% | 0.8% | 25% | 9 |
| 74.6% | 0.4% | 25% | 10 |
| 74.8% | 0.2% | 25% | 11 |
| 74.9% | 0.1% | 25% | 12 |
Compiled 7 to 5 computations (28.6% saved)
| 755.0ms | 8256× | body | 256 | valid |
| 0.0ms | 1× | body | 256 | invalid |
| 2× | egg-herbie |
| 2× | *-commutative_binary64 |
| 2× | associate-*l*_binary64 |
| 1× | associate-*r*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 8 | 7 |
| 2 | 11 | 7 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(*.f64 (*.f64 x 3) x) |
| Outputs |
|---|
(*.f64 (*.f64 x 3) x) |
(*.f64 x (*.f64 x 3)) |
Compiled 7 to 5 computations (28.6% saved)
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
| 2× | associate-*l*_binary64 |
| 1× | associate-*r*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 8 | 7 |
| 2 | 11 | 7 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (*.f64 x 3) x) |
| Outputs |
|---|
(*.f64 (*.f64 x 3) x) |
(*.f64 x (*.f64 x 3)) |
Compiled 11 to 7 computations (36.4% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 2 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.1b | (*.f64 (*.f64 x 3) x) |
Compiled 6 to 4 computations (33.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (*.f64 x 3) x) |
Compiled 11 to 7 computations (36.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 (*.f64 x 3) x) |
| 1.0ms | x | @ | inf | (*.f64 (*.f64 x 3) x) |
| 0.0ms | x | @ | -inf | (*.f64 (*.f64 x 3) x) |
| 1× | batch-egg-rewrite |
| 446× | pow1_binary64 |
| 430× | add-sqr-sqrt_binary64 |
| 423× | *-un-lft-identity_binary64 |
| 412× | add-log-exp_binary64 |
| 412× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 101 | 7 |
| 2 | 1132 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 x 3) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 3)))))))) |
| 1× | egg-herbie |
| 1082× | sqr-pow_binary64 |
| 617× | cube-prod_binary64 |
| 556× | fabs-mul_binary64 |
| 523× | pow-sqr_binary64 |
| 446× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 84 |
| 1 | 12 | 84 |
| 2 | 23 | 84 |
| 3 | 44 | 84 |
| 4 | 104 | 84 |
| 5 | 318 | 84 |
| 6 | 1268 | 84 |
| 7 | 2140 | 84 |
| 8 | 2304 | 84 |
| 9 | 2488 | 84 |
| 10 | 2696 | 84 |
| 11 | 2991 | 84 |
| 12 | 3382 | 84 |
| 13 | 3863 | 84 |
| 14 | 4431 | 84 |
| 15 | 5123 | 84 |
| 16 | 5958 | 84 |
| 17 | 6350 | 84 |
| 18 | 6640 | 84 |
| 19 | 6918 | 84 |
| 20 | 6988 | 84 |
| 21 | 7024 | 84 |
| 22 | 7965 | 84 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
| Outputs |
|---|
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
Compiled 145 to 103 computations (29% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 13 | 3 | 16 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 13 | 4 | 17 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.2b | (*.f64 3 (pow.f64 x 2)) |
| ▶ | 3.3b | (exp.f64 (log.f64 (*.f64 x (*.f64 x 3)))) |
| ✓ | 0.1b | (*.f64 (*.f64 x 3) x) |
| ▶ | 0.3b | (pow.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) 2) |
Compiled 29 to 22 computations (24.1% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 x (*.f64 x 3)) |
| ✓ | 3.3b | (exp.f64 (log.f64 (*.f64 x (*.f64 x 3)))) |
| ✓ | 25.3b | (log.f64 (*.f64 x (*.f64 x 3))) |
Compiled 24 to 16 computations (33.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 23.0ms | x | @ | 0 | (log.f64 (*.f64 x (*.f64 x 3))) |
| 9.0ms | x | @ | inf | (log.f64 (*.f64 x (*.f64 x 3))) |
| 0.0ms | x | @ | -inf | (log.f64 (*.f64 x (*.f64 x 3))) |
| 0.0ms | x | @ | 0 | (exp.f64 (log.f64 (*.f64 x (*.f64 x 3)))) |
| 0.0ms | x | @ | inf | (exp.f64 (log.f64 (*.f64 x (*.f64 x 3)))) |
| 1× | batch-egg-rewrite |
| 533× | pow1_binary64 |
| 512× | add-sqr-sqrt_binary64 |
| 492× | add-log-exp_binary64 |
| 492× | log1p-expm1-u_binary64 |
| 492× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 1 | 126 | 23 |
| 2 | 1349 | 23 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (*.f64 x (*.f64 x 3))) |
(exp.f64 (log.f64 (*.f64 x (*.f64 x 3)))) |
(*.f64 x (*.f64 x 3)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 x) (log.f64 (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 x 3)) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 x (sqrt.f64 3))) (log.f64 (*.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 x x)) (log.f64 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) 2)) (log.f64 (cbrt.f64 (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (*.f64 x (*.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (*.f64 x (*.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))) 2) (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (*.f64 x 3)) 3)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (-.f64 (*.f64 (log.f64 (*.f64 x 3)) (log.f64 (*.f64 x 3))) (*.f64 (log.f64 x) (log.f64 (*.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 (*.f64 x 3)) (log.f64 (*.f64 x 3)))) (-.f64 (log.f64 x) (log.f64 (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (*.f64 x (*.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (*.f64 x (*.f64 x 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (*.f64 x (*.f64 x 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (*.f64 x (*.f64 x 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (*.f64 x (*.f64 x 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (*.f64 x (*.f64 x 3))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 x (*.f64 x 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) 2) (cbrt.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) (*.f64 (cbrt.f64 (*.f64 x 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 3)) (*.f64 (sqrt.f64 (*.f64 x 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x 3)) 2)) (cbrt.f64 (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (*.f64 x 3))) (sqrt.f64 (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 x 3))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 3)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 x (*.f64 x 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (*.f64 x 3))))) (sqrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 3)))))))) |
| 1× | egg-herbie |
| 628× | sub-neg_binary64 |
| 619× | fma-neg_binary64 |
| 464× | associate-*l*_binary64 |
| 434× | unswap-sqr_binary64 |
| 369× | associate--r+_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 288 |
| 1 | 42 | 288 |
| 2 | 61 | 288 |
| 3 | 111 | 288 |
| 4 | 259 | 288 |
| 5 | 763 | 288 |
| 6 | 2831 | 288 |
| 7 | 7244 | 288 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 2 (log.f64 x)) (log.f64 3)) |
(+.f64 (*.f64 2 (log.f64 x)) (log.f64 3)) |
(+.f64 (*.f64 2 (log.f64 x)) (log.f64 3)) |
(+.f64 (*.f64 2 (log.f64 x)) (log.f64 3)) |
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 3)) |
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 3)) |
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 3)) |
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 3)) |
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 3)) |
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 3)) |
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 3)) |
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
| Outputs |
|---|
(+.f64 (*.f64 2 (log.f64 x)) (log.f64 3)) |
(fma.f64 2 (log.f64 x) (log.f64 3)) |
(+.f64 (*.f64 2 (log.f64 x)) (log.f64 3)) |
(fma.f64 2 (log.f64 x) (log.f64 3)) |
(+.f64 (*.f64 2 (log.f64 x)) (log.f64 3)) |
(fma.f64 2 (log.f64 x) (log.f64 3)) |
(+.f64 (*.f64 2 (log.f64 x)) (log.f64 3)) |
(fma.f64 2 (log.f64 x) (log.f64 3)) |
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 3)) |
(fma.f64 2 (log.f64 x) (log.f64 3)) |
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 3)) |
(fma.f64 2 (log.f64 x) (log.f64 3)) |
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 3)) |
(fma.f64 2 (log.f64 x) (log.f64 3)) |
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 3)) |
(fma.f64 2 (log.f64 x) (log.f64 3)) |
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 3)) |
(fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 3)) |
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 3)) |
(fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 3)) |
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 3)) |
(fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 3)) |
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 3)) |
(fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 x 3)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 3 (pow.f64 x 2)) |
Compiled 12 to 9 computations (25% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 3 (pow.f64 x 2)) |
| 0.0ms | x | @ | inf | (*.f64 3 (pow.f64 x 2)) |
| 0.0ms | x | @ | -inf | (*.f64 3 (pow.f64 x 2)) |
| 1× | batch-egg-rewrite |
| 469× | pow1_binary64 |
| 458× | add-sqr-sqrt_binary64 |
| 449× | *-un-lft-identity_binary64 |
| 435× | add-log-exp_binary64 |
| 434× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 124 | 7 |
| 2 | 1267 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 3 (pow.f64 x 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 3 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 x x)))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 x (*.f64 x 3)) | |
| ✓ | 0.3b | (pow.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) 2) |
| ✓ | 24.4b | (sqrt.f64 (*.f64 x (*.f64 x 3))) |
Compiled 26 to 18 computations (30.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (sqrt.f64 (*.f64 x (*.f64 x 3))) |
| 1.0ms | x | @ | 0 | (pow.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) 2) |
| 0.0ms | x | @ | inf | (sqrt.f64 (*.f64 x (*.f64 x 3))) |
| 0.0ms | x | @ | inf | (pow.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) 2) |
| 0.0ms | x | @ | -inf | (pow.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) 2) |
| 1× | batch-egg-rewrite |
| 590× | pow1_binary64 |
| 549× | add-log-exp_binary64 |
| 548× | log1p-expm1-u_binary64 |
| 548× | expm1-log1p-u_binary64 |
| 537× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 16 |
| 1 | 167 | 13 |
| 2 | 1590 | 13 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 x (*.f64 x 3))) |
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (sqrt.f64 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (sqrt.f64 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (sqrt.f64 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) (cbrt.f64 (*.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (sqrt.f64 3))) (cbrt.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (sqrt.f64 3))) (sqrt.f64 (*.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 3)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 3)) 4))) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 x (sqrt.f64 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 1/2) (sqrt.f64 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 3)) 4)) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 3)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x (sqrt.f64 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (sqrt.f64 3)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 3)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) (*.f64 (cbrt.f64 (*.f64 x (sqrt.f64 3))) (*.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 3)) 4)) (cbrt.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 3)) 2) (*.f64 (cbrt.f64 (*.f64 x 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 x 3)) (*.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (sqrt.f64 3))) (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 3))) (*.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 3)) (*.f64 (sqrt.f64 (*.f64 x 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (sqrt.f64 3)) (sqrt.f64 (*.f64 x (sqrt.f64 3)))) (sqrt.f64 (*.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x 3)) 2)) (cbrt.f64 (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (*.f64 x 3))) (sqrt.f64 (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 3) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (sqrt.f64 3)) (cbrt.f64 (*.f64 x (*.f64 x 3)))) (cbrt.f64 (*.f64 x (sqrt.f64 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (sqrt.f64 3)) (sqrt.f64 x)) (sqrt.f64 (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 3)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 3)))))))) |
| 1× | egg-herbie |
| 696× | fma-neg_binary64 |
| 617× | unswap-sqr_binary64 |
| 423× | fma-def_binary64 |
| 383× | fabs-mul_binary64 |
| 353× | distribute-rgt-neg-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 224 |
| 1 | 25 | 164 |
| 2 | 56 | 164 |
| 3 | 141 | 164 |
| 4 | 563 | 164 |
| 5 | 1064 | 164 |
| 6 | 2260 | 164 |
| 7 | 2840 | 164 |
| 8 | 3739 | 164 |
| 9 | 4463 | 164 |
| 10 | 5101 | 164 |
| 11 | 5897 | 164 |
| 12 | 7317 | 164 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 3) x) |
(*.f64 (sqrt.f64 3) x) |
(*.f64 (sqrt.f64 3) x) |
(*.f64 (sqrt.f64 3) x) |
(*.f64 (sqrt.f64 3) x) |
(*.f64 (sqrt.f64 3) x) |
(*.f64 (sqrt.f64 3) x) |
(*.f64 (sqrt.f64 3) x) |
(*.f64 -1 (*.f64 (sqrt.f64 3) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 3) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 3) x)) |
(*.f64 -1 (*.f64 (sqrt.f64 3) x)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 3) x) |
(*.f64 (sqrt.f64 3) x) |
(*.f64 (sqrt.f64 3) x) |
(*.f64 (sqrt.f64 3) x) |
(*.f64 (sqrt.f64 3) x) |
(*.f64 (sqrt.f64 3) x) |
(*.f64 (sqrt.f64 3) x) |
(*.f64 (sqrt.f64 3) x) |
(*.f64 -1 (*.f64 (sqrt.f64 3) x)) |
(neg.f64 (*.f64 (sqrt.f64 3) x)) |
(*.f64 (sqrt.f64 3) (neg.f64 x)) |
(*.f64 -1 (*.f64 (sqrt.f64 3) x)) |
(neg.f64 (*.f64 (sqrt.f64 3) x)) |
(*.f64 (sqrt.f64 3) (neg.f64 x)) |
(*.f64 -1 (*.f64 (sqrt.f64 3) x)) |
(neg.f64 (*.f64 (sqrt.f64 3) x)) |
(*.f64 (sqrt.f64 3) (neg.f64 x)) |
(*.f64 -1 (*.f64 (sqrt.f64 3) x)) |
(neg.f64 (*.f64 (sqrt.f64 3) x)) |
(*.f64 (sqrt.f64 3) (neg.f64 x)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 (*.f64 3 x) x) |
(*.f64 x (*.f64 x 3)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 (*.f64 3 x) x) |
(*.f64 x (*.f64 x 3)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 (*.f64 3 x) x) |
(*.f64 x (*.f64 x 3)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 (*.f64 3 x) x) |
(*.f64 x (*.f64 x 3)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 (*.f64 3 x) x) |
(*.f64 x (*.f64 x 3)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 (*.f64 3 x) x) |
(*.f64 x (*.f64 x 3)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 (*.f64 3 x) x) |
(*.f64 x (*.f64 x 3)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 (*.f64 3 x) x) |
(*.f64 x (*.f64 x 3)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 (*.f64 3 x) x) |
(*.f64 x (*.f64 x 3)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 (*.f64 3 x) x) |
(*.f64 x (*.f64 x 3)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 (*.f64 3 x) x) |
(*.f64 x (*.f64 x 3)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 (*.f64 3 x) x) |
(*.f64 x (*.f64 x 3)) |
Compiled 1302 to 969 computations (25.6% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 126 | 5 | 131 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 1 | 3 |
| Total | 129 | 6 | 135 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.7b | (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x 3))) |
| ▶ | 32.1b | (*.f64 (*.f64 (*.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x)) |
| ✓ | 0.1b | (*.f64 (*.f64 x 3) x) |
| ▶ | 0.4b | (pow.f64 (*.f64 (sqrt.f64 3) x) 2) |
| ▶ | 0.2b | (*.f64 (*.f64 x x) 3) |
| ▶ | 18.3b | (sqrt.f64 (*.f64 (pow.f64 x 4) 9)) |
Compiled 90 to 64 computations (28.9% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (*.f64 x x) 3) |
Compiled 11 to 5 computations (54.5% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (*.f64 x x) 3) |
| 0.0ms | x | @ | inf | (*.f64 (*.f64 x x) 3) |
| 0.0ms | x | @ | -inf | (*.f64 (*.f64 x x) 3) |
| 1× | batch-egg-rewrite |
| 431× | pow1_binary64 |
| 418× | add-sqr-sqrt_binary64 |
| 410× | *-un-lft-identity_binary64 |
| 399× | add-log-exp_binary64 |
| 399× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 102 | 7 |
| 2 | 1144 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 x x) 3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (exp.f64 (*.f64 x x)) (exp.f64 (*.f64 x x)))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) 3))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 3)))))))) |
| 1× | egg-herbie |
| 1082× | sqr-pow_binary64 |
| 617× | cube-prod_binary64 |
| 556× | fabs-mul_binary64 |
| 523× | pow-sqr_binary64 |
| 446× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 84 |
| 1 | 12 | 84 |
| 2 | 23 | 84 |
| 3 | 44 | 84 |
| 4 | 104 | 84 |
| 5 | 318 | 84 |
| 6 | 1268 | 84 |
| 7 | 2140 | 84 |
| 8 | 2304 | 84 |
| 9 | 2488 | 84 |
| 10 | 2696 | 84 |
| 11 | 2991 | 84 |
| 12 | 3382 | 84 |
| 13 | 3863 | 84 |
| 14 | 4431 | 84 |
| 15 | 5123 | 84 |
| 16 | 5958 | 84 |
| 17 | 6350 | 84 |
| 18 | 6640 | 84 |
| 19 | 6918 | 84 |
| 20 | 6988 | 84 |
| 21 | 7024 | 84 |
| 22 | 7965 | 84 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
| Outputs |
|---|
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (pow.f64 x 4) 9) |
| ✓ | 17.4b | (sqrt.f64 (*.f64 (pow.f64 x 4) 9)) |
Compiled 18 to 14 computations (22.2% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 (pow.f64 x 4) 9) |
| 0.0ms | x | @ | inf | (*.f64 (pow.f64 x 4) 9) |
| 0.0ms | x | @ | 0 | (sqrt.f64 (*.f64 (pow.f64 x 4) 9)) |
| 0.0ms | x | @ | inf | (sqrt.f64 (*.f64 (pow.f64 x 4) 9)) |
| 0.0ms | x | @ | -inf | (sqrt.f64 (*.f64 (pow.f64 x 4) 9)) |
| 1× | batch-egg-rewrite |
| 574× | pow1_binary64 |
| 538× | add-log-exp_binary64 |
| 538× | log1p-expm1-u_binary64 |
| 538× | expm1-log1p-u_binary64 |
| 525× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 16 |
| 1 | 148 | 14 |
| 2 | 1556 | 14 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 (pow.f64 x 4) 9)) |
(*.f64 (pow.f64 x 4) 9) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 x x) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (pow.f64 9 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 9)) (cbrt.f64 (*.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 x x) 3)) (cbrt.f64 (*.f64 (pow.f64 x 4) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 81 (pow.f64 x 8)))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 9 1/2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 81 (pow.f64 x 8))) 1/2) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 9)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) 9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x 4) 9) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) 3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) 9) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) 3))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 x 4) 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) 9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 81 (pow.f64 x 8)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x 4) 9) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 9)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 81 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 9) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) 9) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 4) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 4) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x 4) 9))))))) |
| 1× | egg-herbie |
| 1319× | sqr-pow_binary64 |
| 659× | pow-sqr_binary64 |
| 493× | cube-prod_binary64 |
| 407× | fabs-mul_binary64 |
| 387× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 168 |
| 1 | 19 | 168 |
| 2 | 39 | 168 |
| 3 | 89 | 168 |
| 4 | 289 | 168 |
| 5 | 1156 | 168 |
| 6 | 1907 | 168 |
| 7 | 2031 | 168 |
| 8 | 2199 | 168 |
| 9 | 2398 | 168 |
| 10 | 2671 | 168 |
| 11 | 3030 | 168 |
| 12 | 3483 | 168 |
| 13 | 4014 | 168 |
| 14 | 4644 | 168 |
| 15 | 5395 | 168 |
| 16 | 5709 | 168 |
| 17 | 5935 | 168 |
| 18 | 6133 | 168 |
| 19 | 6187 | 168 |
| 20 | 6209 | 168 |
| 21 | 7043 | 168 |
| 22 | 7956 | 168 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 9 (pow.f64 x 4)) |
(*.f64 9 (pow.f64 x 4)) |
(*.f64 9 (pow.f64 x 4)) |
(*.f64 9 (pow.f64 x 4)) |
(*.f64 9 (pow.f64 x 4)) |
(*.f64 9 (pow.f64 x 4)) |
(*.f64 9 (pow.f64 x 4)) |
(*.f64 9 (pow.f64 x 4)) |
(*.f64 9 (pow.f64 x 4)) |
(*.f64 9 (pow.f64 x 4)) |
(*.f64 9 (pow.f64 x 4)) |
(*.f64 9 (pow.f64 x 4)) |
| Outputs |
|---|
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 9 (pow.f64 x 4)) |
(*.f64 9 (pow.f64 x 4)) |
(*.f64 9 (pow.f64 x 4)) |
(*.f64 9 (pow.f64 x 4)) |
(*.f64 9 (pow.f64 x 4)) |
(*.f64 9 (pow.f64 x 4)) |
(*.f64 9 (pow.f64 x 4)) |
(*.f64 9 (pow.f64 x 4)) |
(*.f64 9 (pow.f64 x 4)) |
(*.f64 9 (pow.f64 x 4)) |
(*.f64 9 (pow.f64 x 4)) |
(*.f64 9 (pow.f64 x 4)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (pow.f64 (*.f64 (sqrt.f64 3) x) 2) |
| ✓ | 0.4b | (*.f64 (sqrt.f64 3) x) |
Compiled 16 to 13 computations (18.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (pow.f64 (*.f64 (sqrt.f64 3) x) 2) |
| 1.0ms | x | @ | -inf | (*.f64 (sqrt.f64 3) x) |
| 1.0ms | x | @ | 0 | (*.f64 (sqrt.f64 3) x) |
| 0.0ms | x | @ | inf | (*.f64 (sqrt.f64 3) x) |
| 0.0ms | x | @ | inf | (pow.f64 (*.f64 (sqrt.f64 3) x) 2) |
| 1× | batch-egg-rewrite |
| 550× | pow1_binary64 |
| 511× | add-log-exp_binary64 |
| 510× | log1p-expm1-u_binary64 |
| 510× | expm1-log1p-u_binary64 |
| 498× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 15 |
| 1 | 147 | 13 |
| 2 | 1536 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 3) x) |
(pow.f64 (*.f64 (sqrt.f64 3) x) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 3) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 3) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 3) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 3) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (sqrt.f64 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 3) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 3) x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 3 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 3) (*.f64 x (*.f64 (sqrt.f64 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (sqrt.f64 3) (*.f64 (sqrt.f64 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 3) x) (*.f64 (sqrt.f64 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 3 (*.f64 x x))) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 3) x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 3 (*.f64 x x))) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 3) x)) (*.f64 (sqrt.f64 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 3) x) 4)) (cbrt.f64 (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sqrt.f64 3) x)) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 3) x)) (*.f64 (sqrt.f64 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sqrt.f64 3) x) (sqrt.f64 (*.f64 (sqrt.f64 3) x))) (sqrt.f64 (*.f64 (sqrt.f64 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sqrt.f64 3) x) (sqrt.f64 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sqrt.f64 3) x) x) (sqrt.f64 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sqrt.f64 3) x) (cbrt.f64 (*.f64 3 (*.f64 x x)))) (cbrt.f64 (*.f64 (sqrt.f64 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 3) x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 834× | sqr-pow_binary64 |
| 691× | cube-prod_binary64 |
| 685× | fabs-mul_binary64 |
| 616× | associate-*l*_binary64 |
| 573× | pow-sqr_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 144 |
| 1 | 17 | 84 |
| 2 | 39 | 84 |
| 3 | 98 | 84 |
| 4 | 392 | 84 |
| 5 | 2115 | 84 |
| 6 | 2228 | 84 |
| 7 | 2438 | 84 |
| 8 | 2634 | 84 |
| 9 | 2865 | 84 |
| 10 | 3172 | 84 |
| 11 | 3826 | 84 |
| 12 | 4299 | 84 |
| 13 | 4930 | 84 |
| 14 | 5640 | 84 |
| 15 | 6569 | 84 |
| 16 | 7085 | 84 |
| 17 | 7469 | 84 |
| 18 | 7837 | 84 |
| 19 | 7933 | 84 |
| 20 | 7965 | 84 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
| Outputs |
|---|
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 3 (*.f64 x x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (*.f64 (*.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x)) |
| ✓ | 0.1b | (*.f64 (*.f64 x 3) (sqrt.f64 x)) |
Compiled 23 to 12 computations (47.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (*.f64 (*.f64 (*.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x)) |
| 2.0ms | x | @ | 0 | (*.f64 (*.f64 x 3) (sqrt.f64 x)) |
| 1.0ms | x | @ | -inf | (*.f64 (*.f64 x 3) (sqrt.f64 x)) |
| 1.0ms | x | @ | inf | (*.f64 (*.f64 x 3) (sqrt.f64 x)) |
| 0.0ms | x | @ | 0 | (*.f64 (*.f64 (*.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x)) |
| 1× | batch-egg-rewrite |
| 637× | pow1_binary64 |
| 589× | add-log-exp_binary64 |
| 589× | log1p-expm1-u_binary64 |
| 589× | expm1-log1p-u_binary64 |
| 576× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 16 |
| 1 | 143 | 14 |
| 2 | 1666 | 14 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 x 3) (sqrt.f64 x)) |
(*.f64 (*.f64 (*.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 3 (pow.f64 x 3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (pow.f64 x 3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (pow.f64 x 3/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (pow.f64 x 3/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (pow.f64 x 3/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (*.f64 9 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 3 (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (pow.f64 x 3/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (pow.f64 x 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (pow.f64 x 3/2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 3 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 3 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 618× | unswap-sqr_binary64 |
| 510× | unsub-neg_binary64 |
| 351× | fma-def_binary64 |
| 292× | fma-neg_binary64 |
| 287× | sqr-pow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 84 |
| 1 | 25 | 84 |
| 2 | 60 | 84 |
| 3 | 171 | 84 |
| 4 | 712 | 84 |
| 5 | 1159 | 84 |
| 6 | 2214 | 84 |
| 7 | 2685 | 84 |
| 8 | 3275 | 84 |
| 9 | 4124 | 84 |
| 10 | 5766 | 84 |
| 11 | 7436 | 84 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 -3 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2))) |
(*.f64 -3 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2))) |
(*.f64 -3 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2))) |
(*.f64 -3 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2))) |
| Outputs |
|---|
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 -3 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2))) |
(*.f64 3 (*.f64 x x)) |
(*.f64 -3 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2))) |
(*.f64 3 (*.f64 x x)) |
(*.f64 -3 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2))) |
(*.f64 3 (*.f64 x x)) |
(*.f64 -3 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2))) |
(*.f64 3 (*.f64 x x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x 3))) |
| ✓ | 0.2b | (*.f64 (cbrt.f64 x) (*.f64 x 3)) |
| ✓ | 0.5b | (pow.f64 (cbrt.f64 x) 2) |
| ✓ | 0.6b | (cbrt.f64 x) |
Compiled 30 to 17 computations (43.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | -inf | (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x 3))) |
| 1.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 x) 2) |
| 1.0ms | x | @ | -inf | (cbrt.f64 x) |
| 1.0ms | x | @ | 0 | (cbrt.f64 x) |
| 1.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 x) 2) |
| 1× | batch-egg-rewrite |
| 752× | pow1_binary64 |
| 699× | add-log-exp_binary64 |
| 698× | log1p-expm1-u_binary64 |
| 698× | expm1-log1p-u_binary64 |
| 683× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 25 |
| 1 | 186 | 25 |
| 2 | 2058 | 25 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 x) |
(pow.f64 (cbrt.f64 x) 2) |
(*.f64 (cbrt.f64 x) (*.f64 x 3)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x 3))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cbrt.f64 x) (*.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 x) (*.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cbrt.f64 x) (*.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (*.f64 x 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 x) (*.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 x) (*.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 x (pow.f64 (*.f64 x 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x 3) 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 x) (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cbrt.f64 x) (*.f64 x 3)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 (cbrt.f64 x) (*.f64 x 3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 x) (*.f64 x 3)) 3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 3)))))))) |
| 1× | egg-herbie |
| 1082× | sqr-pow_binary64 |
| 617× | cube-prod_binary64 |
| 556× | fabs-mul_binary64 |
| 523× | pow-sqr_binary64 |
| 446× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 84 |
| 1 | 12 | 84 |
| 2 | 23 | 84 |
| 3 | 44 | 84 |
| 4 | 104 | 84 |
| 5 | 318 | 84 |
| 6 | 1268 | 84 |
| 7 | 2140 | 84 |
| 8 | 2304 | 84 |
| 9 | 2488 | 84 |
| 10 | 2696 | 84 |
| 11 | 2991 | 84 |
| 12 | 3382 | 84 |
| 13 | 3863 | 84 |
| 14 | 4431 | 84 |
| 15 | 5123 | 84 |
| 16 | 5958 | 84 |
| 17 | 6350 | 84 |
| 18 | 6640 | 84 |
| 19 | 6918 | 84 |
| 20 | 6988 | 84 |
| 21 | 7024 | 84 |
| 22 | 7965 | 84 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
| Outputs |
|---|
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 x (*.f64 3 x)) |
Compiled 2134 to 1400 computations (34.4% saved)
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 199 | 2 | 201 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 4 | 5 |
| Total | 201 | 6 | 207 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.5b | (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (*.f64 x 3))) |
| ✓ | 0.1b | (*.f64 (*.f64 x 3) x) |
| ✓ | 0.4b | (pow.f64 (*.f64 (sqrt.f64 3) x) 2) |
| ✓ | 0.2b | (*.f64 (*.f64 x x) 3) |
| ▶ | 0.4b | (*.f64 (*.f64 (*.f64 (sqrt.f64 3) x) x) (sqrt.f64 3)) |
| ✓ | 18.3b | (sqrt.f64 (*.f64 (pow.f64 x 4) 9)) |
Compiled 48 to 36 computations (25% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (*.f64 x 3))) |
| 0.2b | (*.f64 (cbrt.f64 x) (*.f64 x 3)) | |
| 0.6b | (cbrt.f64 x) | |
| ✓ | 25.3b | (cbrt.f64 (*.f64 x x)) |
Compiled 32 to 14 computations (56.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (*.f64 x 3))) |
| 2.0ms | x | @ | 0 | (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (*.f64 x 3))) |
| 1.0ms | x | @ | inf | (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (*.f64 x 3))) |
| 0.0ms | x | @ | 0 | (cbrt.f64 (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (cbrt.f64 (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 752× | pow1_binary64 |
| 697× | add-log-exp_binary64 |
| 697× | log1p-expm1-u_binary64 |
| 697× | expm1-log1p-u_binary64 |
| 678× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 13 |
| 1 | 180 | 13 |
| 2 | 2042 | 13 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (*.f64 x x)) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (*.f64 x 3))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 x x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 x (*.f64 3 (cbrt.f64 x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 3 (cbrt.f64 x))) 3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 3)))))))) |
| 1× | egg-herbie |
| 2020× | unswap-sqr_binary64 |
| 1080× | sqr-pow_binary64 |
| 641× | fabs-mul_binary64 |
| 612× | pow-sqr_binary64 |
| 610× | cube-prod_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 104 |
| 1 | 21 | 104 |
| 2 | 45 | 104 |
| 3 | 98 | 104 |
| 4 | 275 | 104 |
| 5 | 925 | 104 |
| 6 | 1187 | 104 |
| 7 | 1601 | 104 |
| 8 | 1701 | 104 |
| 9 | 1836 | 104 |
| 10 | 2005 | 104 |
| 11 | 2250 | 104 |
| 12 | 2563 | 104 |
| 13 | 2933 | 104 |
| 14 | 3392 | 104 |
| 15 | 3975 | 104 |
| 16 | 4685 | 104 |
| 17 | 5547 | 104 |
| 18 | 5973 | 104 |
| 19 | 6289 | 104 |
| 20 | 6599 | 104 |
| 21 | 6677 | 104 |
| 22 | 6713 | 104 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 -3 (*.f64 (cbrt.f64 -1) (pow.f64 x 2))) |
(*.f64 -3 (*.f64 (cbrt.f64 -1) (pow.f64 x 2))) |
(*.f64 -3 (*.f64 (cbrt.f64 -1) (pow.f64 x 2))) |
(*.f64 -3 (*.f64 (cbrt.f64 -1) (pow.f64 x 2))) |
| Outputs |
|---|
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 3 (pow.f64 x 2)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 -3 (*.f64 (cbrt.f64 -1) (pow.f64 x 2))) |
(*.f64 (*.f64 -3 (cbrt.f64 -1)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (*.f64 -3 (cbrt.f64 -1))) |
(*.f64 x (*.f64 x (*.f64 -3 (cbrt.f64 -1)))) |
(*.f64 x (*.f64 -3 (*.f64 x (cbrt.f64 -1)))) |
(*.f64 -3 (*.f64 (cbrt.f64 -1) (pow.f64 x 2))) |
(*.f64 (*.f64 -3 (cbrt.f64 -1)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (*.f64 -3 (cbrt.f64 -1))) |
(*.f64 x (*.f64 x (*.f64 -3 (cbrt.f64 -1)))) |
(*.f64 x (*.f64 -3 (*.f64 x (cbrt.f64 -1)))) |
(*.f64 -3 (*.f64 (cbrt.f64 -1) (pow.f64 x 2))) |
(*.f64 (*.f64 -3 (cbrt.f64 -1)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (*.f64 -3 (cbrt.f64 -1))) |
(*.f64 x (*.f64 x (*.f64 -3 (cbrt.f64 -1)))) |
(*.f64 x (*.f64 -3 (*.f64 x (cbrt.f64 -1)))) |
(*.f64 -3 (*.f64 (cbrt.f64 -1) (pow.f64 x 2))) |
(*.f64 (*.f64 -3 (cbrt.f64 -1)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (*.f64 -3 (cbrt.f64 -1))) |
(*.f64 x (*.f64 x (*.f64 -3 (cbrt.f64 -1)))) |
(*.f64 x (*.f64 -3 (*.f64 x (cbrt.f64 -1)))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (*.f64 (sqrt.f64 3) x) x) |
| ✓ | 0.2b | (*.f64 (*.f64 (*.f64 (sqrt.f64 3) x) x) (sqrt.f64 3)) |
| 0.4b | (*.f64 (sqrt.f64 3) x) |
Compiled 24 to 18 computations (25% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 (*.f64 (*.f64 (sqrt.f64 3) x) x) (sqrt.f64 3)) |
| 1.0ms | x | @ | inf | (*.f64 (*.f64 (*.f64 (sqrt.f64 3) x) x) (sqrt.f64 3)) |
| 0.0ms | x | @ | inf | (*.f64 (*.f64 (sqrt.f64 3) x) x) |
| 0.0ms | x | @ | 0 | (*.f64 (*.f64 (sqrt.f64 3) x) x) |
| 0.0ms | x | @ | -inf | (*.f64 (*.f64 (*.f64 (sqrt.f64 3) x) x) (sqrt.f64 3)) |
| 1× | batch-egg-rewrite |
| 599× | pow1_binary64 |
| 554× | add-log-exp_binary64 |
| 554× | log1p-expm1-u_binary64 |
| 554× | expm1-log1p-u_binary64 |
| 542× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 1 | 143 | 16 |
| 2 | 1598 | 16 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (*.f64 (sqrt.f64 3) x) x) (sqrt.f64 3)) |
(*.f64 (*.f64 (sqrt.f64 3) x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 3 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 3) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 3 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 x x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 3) (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 3) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 3) (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 3) (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 3 1/4) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 3) (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 3)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 3) (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 3) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 3) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 3) (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 834× | sqr-pow_binary64 |
| 749× | associate-*l*_binary64 |
| 662× | cube-prod_binary64 |
| 580× | fabs-mul_binary64 |
| 543× | associate-*r*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 252 |
| 1 | 19 | 192 |
| 2 | 41 | 192 |
| 3 | 107 | 192 |
| 4 | 447 | 192 |
| 5 | 2498 | 192 |
| 6 | 2611 | 192 |
| 7 | 2820 | 192 |
| 8 | 3016 | 192 |
| 9 | 3247 | 192 |
| 10 | 3552 | 192 |
| 11 | 4196 | 192 |
| 12 | 4673 | 192 |
| 13 | 5299 | 192 |
| 14 | 6011 | 192 |
| 15 | 6938 | 192 |
| 16 | 7452 | 192 |
| 17 | 7842 | 192 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (sqrt.f64 3) (pow.f64 x 2)) |
(*.f64 (sqrt.f64 3) (pow.f64 x 2)) |
(*.f64 (sqrt.f64 3) (pow.f64 x 2)) |
(*.f64 (sqrt.f64 3) (pow.f64 x 2)) |
(*.f64 (sqrt.f64 3) (pow.f64 x 2)) |
(*.f64 (sqrt.f64 3) (pow.f64 x 2)) |
(*.f64 (sqrt.f64 3) (pow.f64 x 2)) |
(*.f64 (sqrt.f64 3) (pow.f64 x 2)) |
(*.f64 (sqrt.f64 3) (pow.f64 x 2)) |
(*.f64 (sqrt.f64 3) (pow.f64 x 2)) |
(*.f64 (sqrt.f64 3) (pow.f64 x 2)) |
(*.f64 (sqrt.f64 3) (pow.f64 x 2)) |
| Outputs |
|---|
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (pow.f64 x 2)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) (*.f64 x x)) |
(*.f64 3 (*.f64 x x)) |
(*.f64 (sqrt.f64 3) (pow.f64 x 2)) |
(*.f64 (sqrt.f64 3) (*.f64 x x)) |
(*.f64 (sqrt.f64 3) (pow.f64 x 2)) |
(*.f64 (sqrt.f64 3) (*.f64 x x)) |
(*.f64 (sqrt.f64 3) (pow.f64 x 2)) |
(*.f64 (sqrt.f64 3) (*.f64 x x)) |
(*.f64 (sqrt.f64 3) (pow.f64 x 2)) |
(*.f64 (sqrt.f64 3) (*.f64 x x)) |
(*.f64 (sqrt.f64 3) (pow.f64 x 2)) |
(*.f64 (sqrt.f64 3) (*.f64 x x)) |
(*.f64 (sqrt.f64 3) (pow.f64 x 2)) |
(*.f64 (sqrt.f64 3) (*.f64 x x)) |
(*.f64 (sqrt.f64 3) (pow.f64 x 2)) |
(*.f64 (sqrt.f64 3) (*.f64 x x)) |
(*.f64 (sqrt.f64 3) (pow.f64 x 2)) |
(*.f64 (sqrt.f64 3) (*.f64 x x)) |
(*.f64 (sqrt.f64 3) (pow.f64 x 2)) |
(*.f64 (sqrt.f64 3) (*.f64 x x)) |
(*.f64 (sqrt.f64 3) (pow.f64 x 2)) |
(*.f64 (sqrt.f64 3) (*.f64 x x)) |
(*.f64 (sqrt.f64 3) (pow.f64 x 2)) |
(*.f64 (sqrt.f64 3) (*.f64 x x)) |
(*.f64 (sqrt.f64 3) (pow.f64 x 2)) |
(*.f64 (sqrt.f64 3) (*.f64 x x)) |
Compiled 1325 to 768 computations (42% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 111 | 1 | 112 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 4 | 5 |
| Total | 113 | 5 | 118 |
| Status | Error | Program |
|---|---|---|
| 0.4b | (*.f64 (*.f64 (sqrt.f64 3) (*.f64 x x)) (sqrt.f64 3)) | |
| ✓ | 0.1b | (*.f64 (*.f64 x 3) x) |
| ✓ | 0.4b | (pow.f64 (*.f64 (sqrt.f64 3) x) 2) |
| ✓ | 0.2b | (*.f64 (*.f64 x x) 3) |
| ✓ | 18.3b | (sqrt.f64 (*.f64 (pow.f64 x 4) 9)) |
Compiled 36 to 28 computations (22.2% saved)
Total -41.5b remaining (-36606%)
Threshold costs -41.5b (-36606%)
| Inputs |
|---|
(*.f64 (*.f64 x x) 3) |
(*.f64 (*.f64 x 3) x) |
(*.f64 3 (pow.f64 x 2)) |
(pow.f64 (*.f64 (sqrt.f64 3) x) 2) |
(sqrt.f64 (*.f64 (pow.f64 x 4) 9)) |
(exp.f64 (log.f64 (*.f64 x (*.f64 x 3)))) |
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 x 3))) 2) |
(*.f64 (*.f64 (sqrt.f64 3) (*.f64 x x)) (sqrt.f64 3)) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 3) x) x) (sqrt.f64 3)) |
(*.f64 (*.f64 (*.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (*.f64 x 3))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x 3))) |
| Outputs |
|---|
(*.f64 (*.f64 x 3) x) |
2 calls:
| 8.0ms | (*.f64 (*.f64 x 3) x) |
| 7.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | (*.f64 (*.f64 x 3) x) |
Compiled 100 to 67 computations (33% saved)
| 1× | egg-herbie |
| 3× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 14 |
| 1 | 10 | 14 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (*.f64 x 3) x) |
(*.f64 (*.f64 x x) 3) |
| Outputs |
|---|
(*.f64 (*.f64 x 3) x) |
(*.f64 x (*.f64 x 3)) |
(*.f64 (*.f64 x x) 3) |
(*.f64 3 (*.f64 x x)) |
Compiled 12 to 8 computations (33.3% saved)
Compiled 11 to 7 computations (36.4% saved)
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