Time bar (total: 9.0s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.8% | 0.2% | 0 |
| 0% | 99.8% | 0.2% | 1 |
| 0% | 99.8% | 0.2% | 2 |
| 0% | 99.8% | 0.2% | 3 |
| 0% | 99.8% | 0.2% | 4 |
| 0% | 99.8% | 0.2% | 5 |
| 0% | 99.8% | 0.2% | 6 |
| 0% | 99.8% | 0.2% | 7 |
| 3.1% | 96.7% | 0.2% | 8 |
| 6.2% | 92% | 1.8% | 9 |
| 8.2% | 90.1% | 1.8% | 10 |
| 13.3% | 84.2% | 2.5% | 11 |
| 16.2% | 74.7% | 9.2% | 12 |
Compiled 13 to 9 computations (30.8% saved)
| 1.4s | 8256× | body | 256 | valid |
| 1.3s | 8465× | body | 256 | invalid |
| 2× | egg-herbie |
| 12× | *-commutative_binary64 |
| 12× | associate-/r*_binary64 |
| 1× | swap-V-l |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 84 |
| 1 | 56 | 84 |
| 2 | 64 | 84 |
| 0 | 4 | 4 |
| 1 | 4 | 4 |
| 1× | unsound |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
2 |
3 |
| Outputs |
|---|
0 |
1 |
2 |
3 |
2 |
| Inputs |
|---|
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 A (sqrt.f64 (/.f64 c0 (*.f64 V l)))) |
(*.f64 V (sqrt.f64 (/.f64 A (*.f64 c0 l)))) |
(*.f64 l (sqrt.f64 (/.f64 A (*.f64 V c0)))) |
(*.f64 c0 (sqrt.f64 (/.f64 V (*.f64 A l)))) |
(*.f64 c0 (sqrt.f64 (/.f64 l (*.f64 V A)))) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))) |
| Outputs |
|---|
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 A (sqrt.f64 (/.f64 c0 (*.f64 V l)))) |
(*.f64 V (sqrt.f64 (/.f64 A (*.f64 c0 l)))) |
(*.f64 l (sqrt.f64 (/.f64 A (*.f64 V c0)))) |
(*.f64 l (sqrt.f64 (/.f64 A (*.f64 c0 V)))) |
(*.f64 c0 (sqrt.f64 (/.f64 V (*.f64 A l)))) |
(*.f64 c0 (sqrt.f64 (/.f64 l (*.f64 V A)))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 l V) A))) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(sort V l)
Compiled 16 to 12 computations (25% saved)
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
| 2× | associate-/r*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 12 |
| 1 | 13 | 12 |
| 2 | 15 | 12 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| Outputs |
|---|
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
Compiled 12 to 8 computations (33.3% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ▶ | 14.5b | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
Compiled 12 to 8 computations (33.3% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.7b | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| ✓ | 4.5b | (/.f64 A (*.f64 V l)) |
| ✓ | 13.0b | (sqrt.f64 (/.f64 A (*.f64 V l))) |
Compiled 30 to 8 computations (73.3% saved)
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | V | @ | 0 | (/.f64 A (*.f64 V l)) |
| 2.0ms | c0 | @ | inf | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 2.0ms | A | @ | 0 | (sqrt.f64 (/.f64 A (*.f64 V l))) |
| 1.0ms | A | @ | inf | (/.f64 A (*.f64 V l)) |
| 1.0ms | V | @ | -inf | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 1× | batch-egg-rewrite |
| 989× | pow1_binary64 |
| 914× | add-log-exp_binary64 |
| 914× | log1p-expm1-u_binary64 |
| 914× | expm1-log1p-u_binary64 |
| 94× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 28 |
| 1 | 185 | 28 |
| 2 | 2456 | 28 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (/.f64 A (*.f64 V l))) |
(/.f64 A (*.f64 V l)) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) (cbrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 A) (sqrt.f64 (/.f64 1 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 A) (pow.f64 (/.f64 1 (*.f64 V l)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 A) (/.f64 1 (sqrt.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4) (pow.f64 (/.f64 (/.f64 A V) l) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (*.f64 V l)) (sqrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 A)) (neg.f64 (sqrt.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 A V) l) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 A V) l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 A (/.f64 1 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 A V) l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) (sqrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 A V) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 A) 2) (*.f64 (cbrt.f64 A) (/.f64 1 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) 2) (cbrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 A) (*.f64 (sqrt.f64 A) (/.f64 1 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4) (*.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4) (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 A) (/.f64 1 (*.f64 l (neg.f64 V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 V l)) A)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 A V) (/.f64 1 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) (pow.f64 (/.f64 (/.f64 A V) l) 1/4)) (pow.f64 (/.f64 (/.f64 A V) l) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 V) (/.f64 A l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 A) 2) V) (/.f64 (cbrt.f64 A) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 A) V) (/.f64 (sqrt.f64 A) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 A) l) (/.f64 (sqrt.f64 A) V))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 l) (/.f64 A V))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 A) 2) l) (/.f64 (cbrt.f64 A) V))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 A) 2) 1) (/.f64 (cbrt.f64 A) (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 A) 1) (/.f64 (sqrt.f64 A) (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 V l)) 2)) (/.f64 A (cbrt.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 A) 2) (pow.f64 (cbrt.f64 (*.f64 V l)) 2)) (cbrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 A) (pow.f64 (cbrt.f64 (*.f64 V l)) 2)) (/.f64 (sqrt.f64 A) (cbrt.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 V l))) (/.f64 A (sqrt.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 A) 2) (sqrt.f64 (*.f64 V l))) (/.f64 (cbrt.f64 A) (sqrt.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) (cbrt.f64 (/.f64 (/.f64 A V) l))) (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 A V) l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 l (/.f64 A V)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 A (*.f64 l (neg.f64 V))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 A V) l) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 A 3) (pow.f64 (*.f64 V l) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 A V) l))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2) (pow.f64 c0 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 c0 3) (pow.f64 (/.f64 (/.f64 A V) l) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))))))) |
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
| 2× | associate-/r*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 144 |
| 1 | 13 | 144 |
| 2 | 15 | 144 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
Compiled 1148 to 426 computations (62.9% saved)
17 alts after pruning (16 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 75 | 16 | 91 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 75 | 17 | 92 |
| Status | Error | Program |
|---|---|---|
| ▶ | 14.4b | (*.f64 c0 (sqrt.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 A) 2) l) (/.f64 (cbrt.f64 A) V)))) |
| 34.4b | (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) | |
| 54.6b | (log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l)))) | |
| 17.0b | (*.f64 c0 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) 3)) | |
| 16.7b | (*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V))))) | |
| 15.9b | (*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))) | |
| ▶ | 16.4b | (*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2)) |
| ▶ | 17.1b | (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 3) |
| 15.3b | (*.f64 c0 (sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 A) 2) (*.f64 (cbrt.f64 A) (/.f64 1 (*.f64 V l)))))) | |
| 22.5b | (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) | |
| ▶ | 16.4b | (*.f64 c0 (sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l)))) |
| 37.6b | (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))) | |
| 14.9b | (*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A))) | |
| ▶ | 35.0b | (/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l))) |
| 16.5b | (*.f64 c0 (pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4) 2)) | |
| 45.9b | (sqrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0))) | |
| ✓ | 14.5b | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
Compiled 480 to 338 computations (29.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.7b | (cbrt.f64 A) |
| ✓ | 0.7b | (*.f64 c0 (sqrt.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 A) 2) l) (/.f64 (cbrt.f64 A) V)))) |
| ✓ | 3.7b | (*.f64 (/.f64 (pow.f64 (cbrt.f64 A) 2) l) (/.f64 (cbrt.f64 A) V)) |
| ✓ | 13.0b | (sqrt.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 A) 2) l) (/.f64 (cbrt.f64 A) V))) |
Compiled 62 to 27 computations (56.5% saved)
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 51.0ms | A | @ | 0 | (sqrt.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 A) 2) l) (/.f64 (cbrt.f64 A) V))) |
| 18.0ms | V | @ | 0 | (sqrt.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 A) 2) l) (/.f64 (cbrt.f64 A) V))) |
| 16.0ms | l | @ | 0 | (sqrt.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 A) 2) l) (/.f64 (cbrt.f64 A) V))) |
| 15.0ms | c0 | @ | 0 | (*.f64 c0 (sqrt.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 A) 2) l) (/.f64 (cbrt.f64 A) V)))) |
| 2.0ms | A | @ | -inf | (*.f64 (/.f64 (pow.f64 (cbrt.f64 A) 2) l) (/.f64 (cbrt.f64 A) V)) |
| 1× | batch-egg-rewrite |
| 710× | log-prod_binary64 |
| 344× | pow2_binary64 |
| 289× | pow-unpow_binary64 |
| 246× | pow1/3_binary64 |
| 236× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 31 |
| 1 | 278 | 31 |
| 2 | 3634 | 31 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 A) 2) l) (/.f64 (cbrt.f64 A) V))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 A) 2) l) (/.f64 (cbrt.f64 A) V)) |
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 A) 2) l) (/.f64 (cbrt.f64 A) V)))) |
(cbrt.f64 A) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 A l) V))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 A l) V))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 A l) V)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 A l) V)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 A l) V)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 A l) V))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 A (*.f64 l V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 A) (*.f64 (*.f64 l (pow.f64 (cbrt.f64 A) -2)) V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 A) (*.f64 V (*.f64 l (pow.f64 (cbrt.f64 A) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 A) 2) (*.f64 l (/.f64 V (cbrt.f64 A))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 A) 2) (*.f64 (/.f64 V (cbrt.f64 A)) l))))) 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#<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 A l) V)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 A l) V)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 A l) V)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A l) V)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A l) V))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A l) V))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A l) V))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (/.f64 A l) V) (*.f64 c0 c0)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 (/.f64 A l) V) 3/2) (pow.f64 c0 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 c0 3) (pow.f64 (/.f64 (/.f64 A l) V) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 (/.f64 A l) V) (*.f64 c0 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A l) V))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 A l) V) 3/2) (pow.f64 c0 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 c0 3) (pow.f64 (/.f64 (/.f64 A l) V) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 A))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 A)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 A)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 A)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 A))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 A) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 A)) 2) (cbrt.f64 (cbrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 A)) (pow.f64 (cbrt.f64 (cbrt.f64 A)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 A 1/6) (pow.f64 A 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 A (cbrt.f64 A)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 A)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 A 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 A) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 A) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 A A) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 A 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 A)) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 A)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 A) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 A 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 A) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 A))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 A) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 A)) 1)))))) |
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
| 2× | associate-/r*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 396 |
| 1 | 13 | 396 |
| 2 | 15 | 396 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
| Outputs |
|---|
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.7b | (*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2)) |
| ✓ | 5.9b | (/.f64 (/.f64 A V) l) |
| ✓ | 13.0b | (pow.f64 (/.f64 (/.f64 A V) l) 1/2) |
Compiled 33 to 12 computations (63.6% saved)
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 31.0ms | V | @ | 0 | (/.f64 (/.f64 A V) l) |
| 1.0ms | c0 | @ | 0 | (*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2)) |
| 1.0ms | V | @ | -inf | (*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2)) |
| 1.0ms | l | @ | -inf | (*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2)) |
| 1.0ms | A | @ | inf | (/.f64 (/.f64 A V) l) |
| 1× | batch-egg-rewrite |
| 561× | log-prod_binary64 |
| 418× | exp-prod_binary64 |
| 359× | pow-prod-down_binary64 |
| 280× | pow2_binary64 |
| 196× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 28 |
| 1 | 217 | 28 |
| 2 | 2844 | 28 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (/.f64 (/.f64 A V) l) 1/2) |
(/.f64 (/.f64 A V) l) |
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/6) (cbrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) (pow.f64 (/.f64 (/.f64 A V) l) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4) (pow.f64 (/.f64 (/.f64 A V) l) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (*.f64 l (/.f64 V A))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (/.f64 A V) l))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 A V) l) 2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (/.f64 (/.f64 A V) l))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 A V) l)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 A V) l)) 1/4) 2)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 A V) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 A V) l))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 A V) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 A V) l)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 A V) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 A V) l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 A (/.f64 1 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 A V) (/.f64 1 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 A V) l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) (sqrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 A V) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) 2) (cbrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 A V)) 2) (*.f64 (cbrt.f64 (/.f64 A V)) (/.f64 1 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A V)) (*.f64 (sqrt.f64 (/.f64 A V)) (/.f64 1 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 A) V) (/.f64 1 (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 l) (/.f64 A V))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4) (pow.f64 (/.f64 (/.f64 A V) l) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/4) (pow.f64 (/.f64 (/.f64 A V) l) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 l -1/2) (/.f64 (/.f64 A V) (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 A A)) l) (/.f64 (cbrt.f64 A) V))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 A) l) (/.f64 (sqrt.f64 A) V))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 A 1) (/.f64 (/.f64 1 V) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 A V)) 2) 1) (/.f64 (cbrt.f64 (/.f64 A V)) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 A V)) 1) (/.f64 (sqrt.f64 (/.f64 A V)) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 A (cbrt.f64 (*.f64 l l))) (/.f64 (/.f64 1 V) (cbrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 l) -2) (/.f64 (/.f64 A V) (cbrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 A V)) 2) (cbrt.f64 (*.f64 l l))) (cbrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (cbrt.f64 (*.f64 l l))) (/.f64 (sqrt.f64 (/.f64 A V)) (cbrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 A (sqrt.f64 l)) (/.f64 (/.f64 1 V) (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 A V)) 2) (sqrt.f64 l)) (/.f64 (cbrt.f64 (/.f64 A V)) (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 A V) l) 5/6) (pow.f64 (/.f64 (/.f64 A V) l) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 A V) l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 l (/.f64 V A)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 A V) 3) (pow.f64 l 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 V A) l) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 V l) A) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 l (/.f64 V A)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 A V) l))) 2)) (cbrt.f64 (log.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 A V) l)))) (sqrt.f64 (log.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 A V) (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 A V) l) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 A V) 3) (pow.f64 l 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 A V) l)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 A V) l) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 A V) l))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 l (/.f64 V A))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 A V) l)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) 1) 2)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) c0)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) c0))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))) 2)) (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)))) (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) c0))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 1) 1)))))) |
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
| 2× | associate-/r*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 396 |
| 1 | 13 | 396 |
| 2 | 15 | 396 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
| Outputs |
|---|
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.7b | (*.f64 c0 (sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l)))) |
| ✓ | 6.0b | (*.f64 (/.f64 A V) (/.f64 1 l)) |
| ✓ | 13.0b | (sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l))) |
Compiled 40 to 20 computations (50% saved)
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | V | @ | -inf | (*.f64 c0 (sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l)))) |
| 1.0ms | A | @ | 0 | (sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l))) |
| 0.0ms | A | @ | -inf | (sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l))) |
| 0.0ms | A | @ | -inf | (*.f64 c0 (sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l)))) |
| 0.0ms | l | @ | -inf | (*.f64 c0 (sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l)))) |
| 1× | batch-egg-rewrite |
| 595× | log-prod_binary64 |
| 421× | pow-prod-down_binary64 |
| 286× | pow2_binary64 |
| 236× | pow-unpow_binary64 |
| 204× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 28 |
| 1 | 230 | 28 |
| 2 | 3053 | 28 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l))) |
(*.f64 (/.f64 A V) (/.f64 1 l)) |
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 A (*.f64 V l))) (pow.f64 (/.f64 A (*.f64 V l)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/6) (cbrt.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/4) (pow.f64 (/.f64 A (*.f64 V l)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 A (*.f64 V l)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 A (*.f64 V l))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (/.f64 A (*.f64 V l)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (/.f64 A (*.f64 V l)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 A (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 A (*.f64 V l)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 A (*.f64 V l))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 A (*.f64 V l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 A (*.f64 V l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 A (/.f64 l (/.f64 1 V)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 A (/.f64 (*.f64 V l) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 A (/.f64 V (/.f64 1 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 A V) l)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 V A) l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 l (/.f64 V A)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 l (/.f64 A V)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 V l) A))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 V (/.f64 A l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 l) (/.f64 V A))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 A V)) 2) (/.f64 l (cbrt.f64 (/.f64 A V))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 A V)) (/.f64 l (sqrt.f64 (/.f64 A V))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 V A) (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 l) (/.f64 V A)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 A) (neg.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 A) (*.f64 (neg.f64 l) V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 A) (*.f64 l (neg.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 A l) V)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 A V)) (neg.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 A l)) (neg.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 A) 1) (*.f64 (neg.f64 V) l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 A -1) (*.f64 V (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 A) -1) (*.f64 (neg.f64 V) (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (neg.f64 A)) (*.f64 (neg.f64 l) (neg.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 A V) (sqrt.f64 l)) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 A V) 1) l)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 A V) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 A l) 1) V)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 A l) (pow.f64 (cbrt.f64 V) 2)) (cbrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 A l) (sqrt.f64 V)) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 A) (/.f64 1 l)) (neg.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 A V)) (neg.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 A V) -1) (neg.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 l) (neg.f64 A)) (neg.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 A (*.f64 V l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 A (*.f64 V l))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 A V) 3) (pow.f64 l 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 V A) l) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 l (/.f64 V A)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 l (/.f64 A V)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 V l) A) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 V (/.f64 A l)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 A (*.f64 V l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 A V) 3) (pow.f64 l 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 A (*.f64 V l)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 A (*.f64 V l)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 A (*.f64 V l)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1) 2)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 1) 1)))))) |
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
| 2× | associate-/r*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 396 |
| 1 | 13 | 396 |
| 2 | 15 | 396 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
| Outputs |
|---|
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (sqrt.f64 A) c0) |
| ✓ | 1.1b | (/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l))) |
| ✓ | 8.4b | (sqrt.f64 (*.f64 V l)) |
Compiled 30 to 9 computations (70% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | V | @ | inf | (/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l))) |
| 1.0ms | l | @ | inf | (sqrt.f64 (*.f64 V l)) |
| 1.0ms | V | @ | -inf | (/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l))) |
| 1.0ms | V | @ | 0 | (sqrt.f64 (*.f64 V l)) |
| 1.0ms | V | @ | -inf | (sqrt.f64 (*.f64 V l)) |
| 1× | batch-egg-rewrite |
| 573× | log-prod_binary64 |
| 422× | exp-prod_binary64 |
| 369× | pow-prod-down_binary64 |
| 262× | pow2_binary64 |
| 220× | pow-unpow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 26 |
| 1 | 204 | 26 |
| 2 | 2676 | 26 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 V l)) |
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l))) |
(*.f64 (sqrt.f64 A) c0) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 V l)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 V l))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 V l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 V l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 V l) 1/6) (cbrt.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 V l)) (pow.f64 (*.f64 V l) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 V l) 1/4) (pow.f64 (*.f64 V l) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 V) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 l) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 V l) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 V l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V l) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V l) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V l) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V l) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 V l)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V l) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 V l)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 V l))))) (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 V l) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 V l)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 V l))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 V l))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 V l) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 V l))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 V l)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 V l)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 V l))) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))) c0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) c0)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) c0))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))) c0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 A) (/.f64 1 (/.f64 (sqrt.f64 (*.f64 V l)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 A) (*.f64 c0 (pow.f64 (*.f64 V l) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c0 (*.f64 (sqrt.f64 A) (pow.f64 (*.f64 V l) 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(*.f64 (sqrt.f64 A) c0)) (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))) c0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))) c0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))) c0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))) c0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 V l)) (*.f64 (sqrt.f64 A) c0)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 A) c0) 3) (pow.f64 (*.f64 V l) 3/2)) 1/3)))) (#(struct:change 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c0))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))) c0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 A) c0) 3) (pow.f64 (*.f64 V l) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))) c0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))) c0) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))) c0))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))) c0))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 V l)) (*.f64 (sqrt.f64 A) c0))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))) c0)) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 A) c0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 A))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 A)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 A)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 A)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 A) c0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 A) c0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 A (*.f64 c0 c0)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 A) c0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 A) c0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 A) c0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (sqrt.f64 A) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 A) c0))) 2)) (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 A) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 A) c0)))) (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 A) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 A (*.f64 c0 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 A) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 A) c0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 A) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 A) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 A) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 A) c0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 A) c0) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 A) c0))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 A) c0))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 A) c0)) 1) 1)))))) |
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
| 2× | associate-/r*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 144 |
| 1 | 13 | 144 |
| 2 | 15 | 144 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.7b | (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
| 5.9b | (/.f64 (/.f64 A V) l) | |
| ✓ | 8.0b | (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) |
| ✓ | 13.0b | (sqrt.f64 (/.f64 (/.f64 A V) l)) |
Compiled 51 to 12 computations (76.5% saved)
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 114.0ms | A | @ | inf | (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) |
| 27.0ms | V | @ | 0 | (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) |
| 18.0ms | l | @ | 0 | (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) |
| 17.0ms | A | @ | 0 | (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) |
| 9.0ms | V | @ | inf | (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) |
| 1× | batch-egg-rewrite |
| 575× | log-prod_binary64 |
| 427× | exp-prod_binary64 |
| 393× | pow-prod-down_binary64 |
| 274× | pow2_binary64 |
| 211× | pow-unpow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 35 |
| 1 | 210 | 35 |
| 2 | 2851 | 35 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (/.f64 (/.f64 A V) l)) |
(cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 A (*.f64 V l))) (pow.f64 (/.f64 A (*.f64 V l)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/6) (cbrt.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/4) (pow.f64 (/.f64 A (*.f64 V l)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (*.f64 l (/.f64 V A))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 A V))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (/.f64 A V))) (neg.f64 (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 A (*.f64 V l)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 A (*.f64 V l))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 l (/.f64 V A)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 l (/.f64 V A))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 A V))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))) (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (/.f64 A (*.f64 V l)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 c0) (pow.f64 (/.f64 A (*.f64 V l)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)))) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/6) (cbrt.f64 c0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 1/6) (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))) (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 2)) (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))) (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 1) 3)))))) |
| 1× | egg-herbie |
| 570× | fma-def_binary64 |
| 369× | exp-sum_binary64 |
| 342× | fma-neg_binary64 |
| 305× | div-sub_binary64 |
| 275× | associate-*l*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 1092 |
| 1 | 198 | 1020 |
| 2 | 490 | 924 |
| 3 | 1412 | 816 |
| 4 | 4031 | 768 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A))))) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A))))) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A))))) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A))))) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A))))))) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A))))))) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A))))))) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A))))))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 -1 A))))))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 -1 A))))))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 -1 A))))))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 -1 A))))))) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V)))))) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V)))))) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V)))))) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V)))))) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l)))))) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l)))))) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l)))))) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l)))))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (/.f64 A l)))))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (/.f64 A l)))))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (/.f64 A l)))))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (/.f64 A l)))))) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V)))))) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V)))))) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V)))))) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V)))))) |
(*.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l))))) (pow.f64 (*.f64 1 c0) 1/3)) |
(*.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l))))) (pow.f64 (*.f64 1 c0) 1/3)) |
(*.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l))))) (pow.f64 (*.f64 1 c0) 1/3)) |
(*.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l))))) (pow.f64 (*.f64 1 c0) 1/3)) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 -1 l)))))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 -1 l)))))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 -1 l)))))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 -1 l)))))) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
| Outputs |
|---|
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A))))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))) |
(*.f64 (pow.f64 (/.f64 A V) 1/6) (*.f64 (pow.f64 l -1/6) (cbrt.f64 c0))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A))))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))) |
(*.f64 (pow.f64 (/.f64 A V) 1/6) (*.f64 (pow.f64 l -1/6) (cbrt.f64 c0))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A))))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))) |
(*.f64 (pow.f64 (/.f64 A V) 1/6) (*.f64 (pow.f64 l -1/6) (cbrt.f64 c0))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A))))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))) |
(*.f64 (pow.f64 (/.f64 A V) 1/6) (*.f64 (pow.f64 l -1/6) (cbrt.f64 c0))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A))))))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))) |
(*.f64 (pow.f64 (/.f64 A V) 1/6) (*.f64 (pow.f64 l -1/6) (cbrt.f64 c0))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A))))))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))) |
(*.f64 (pow.f64 (/.f64 A V) 1/6) (*.f64 (pow.f64 l -1/6) (cbrt.f64 c0))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A))))))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))) |
(*.f64 (pow.f64 (/.f64 A V) 1/6) (*.f64 (pow.f64 l -1/6) (cbrt.f64 c0))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A))))))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))) |
(*.f64 (pow.f64 (/.f64 A V) 1/6) (*.f64 (pow.f64 l -1/6) (cbrt.f64 c0))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 -1 A))))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (neg.f64 (log.f64 (/.f64 -1 A)))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 (/.f64 -1 A))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (/.f64 1 (*.f64 V l)) 1/6)) (pow.f64 (/.f64 -1 A) -1/6)) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (*.f64 (pow.f64 (*.f64 l V) -1/6) (pow.f64 (/.f64 -1 A) -1/6))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (neg.f64 (*.f64 l (/.f64 V A))) -1/6)) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 -1 A))))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (neg.f64 (log.f64 (/.f64 -1 A)))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 (/.f64 -1 A))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (/.f64 1 (*.f64 V l)) 1/6)) (pow.f64 (/.f64 -1 A) -1/6)) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (*.f64 (pow.f64 (*.f64 l V) -1/6) (pow.f64 (/.f64 -1 A) -1/6))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (neg.f64 (*.f64 l (/.f64 V A))) -1/6)) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 -1 A))))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (neg.f64 (log.f64 (/.f64 -1 A)))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 (/.f64 -1 A))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (/.f64 1 (*.f64 V l)) 1/6)) (pow.f64 (/.f64 -1 A) -1/6)) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (*.f64 (pow.f64 (*.f64 l V) -1/6) (pow.f64 (/.f64 -1 A) -1/6))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (neg.f64 (*.f64 l (/.f64 V A))) -1/6)) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 -1 A))))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (neg.f64 (log.f64 (/.f64 -1 A)))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 (/.f64 -1 A))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (/.f64 1 (*.f64 V l)) 1/6)) (pow.f64 (/.f64 -1 A) -1/6)) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (*.f64 (pow.f64 (*.f64 l V) -1/6) (pow.f64 (/.f64 -1 A) -1/6))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (neg.f64 (*.f64 l (/.f64 V A))) -1/6)) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V)))))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))) |
(*.f64 (pow.f64 (/.f64 A V) 1/6) (*.f64 (pow.f64 l -1/6) (cbrt.f64 c0))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V)))))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))) |
(*.f64 (pow.f64 (/.f64 A V) 1/6) (*.f64 (pow.f64 l -1/6) (cbrt.f64 c0))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V)))))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))) |
(*.f64 (pow.f64 (/.f64 A V) 1/6) (*.f64 (pow.f64 l -1/6) (cbrt.f64 c0))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V)))))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))) |
(*.f64 (pow.f64 (/.f64 A V) 1/6) (*.f64 (pow.f64 l -1/6) (cbrt.f64 c0))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l)))))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))) |
(*.f64 (pow.f64 (/.f64 A V) 1/6) (*.f64 (pow.f64 l -1/6) (cbrt.f64 c0))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l)))))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))) |
(*.f64 (pow.f64 (/.f64 A V) 1/6) (*.f64 (pow.f64 l -1/6) (cbrt.f64 c0))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l)))))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))) |
(*.f64 (pow.f64 (/.f64 A V) 1/6) (*.f64 (pow.f64 l -1/6) (cbrt.f64 c0))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l)))))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))) |
(*.f64 (pow.f64 (/.f64 A V) 1/6) (*.f64 (pow.f64 l -1/6) (cbrt.f64 c0))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (/.f64 A l)))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (neg.f64 (log.f64 (/.f64 -1 A)))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 (/.f64 -1 A))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (/.f64 1 (*.f64 V l)) 1/6)) (pow.f64 (/.f64 -1 A) -1/6)) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (*.f64 (pow.f64 (*.f64 l V) -1/6) (pow.f64 (/.f64 -1 A) -1/6))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (neg.f64 (*.f64 l (/.f64 V A))) -1/6)) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (/.f64 A l)))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (neg.f64 (log.f64 (/.f64 -1 A)))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 (/.f64 -1 A))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (/.f64 1 (*.f64 V l)) 1/6)) (pow.f64 (/.f64 -1 A) -1/6)) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (*.f64 (pow.f64 (*.f64 l V) -1/6) (pow.f64 (/.f64 -1 A) -1/6))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (neg.f64 (*.f64 l (/.f64 V A))) -1/6)) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (/.f64 A l)))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (neg.f64 (log.f64 (/.f64 -1 A)))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 (/.f64 -1 A))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (/.f64 1 (*.f64 V l)) 1/6)) (pow.f64 (/.f64 -1 A) -1/6)) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (*.f64 (pow.f64 (*.f64 l V) -1/6) (pow.f64 (/.f64 -1 A) -1/6))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (neg.f64 (*.f64 l (/.f64 V A))) -1/6)) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (/.f64 A l)))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (neg.f64 (log.f64 (/.f64 -1 A)))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 (/.f64 -1 A))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (/.f64 1 (*.f64 V l)) 1/6)) (pow.f64 (/.f64 -1 A) -1/6)) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (*.f64 (pow.f64 (*.f64 l V) -1/6) (pow.f64 (/.f64 -1 A) -1/6))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (neg.f64 (*.f64 l (/.f64 V A))) -1/6)) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V)))))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))) |
(*.f64 (pow.f64 (/.f64 A V) 1/6) (*.f64 (pow.f64 l -1/6) (cbrt.f64 c0))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V)))))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))) |
(*.f64 (pow.f64 (/.f64 A V) 1/6) (*.f64 (pow.f64 l -1/6) (cbrt.f64 c0))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V)))))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))) |
(*.f64 (pow.f64 (/.f64 A V) 1/6) (*.f64 (pow.f64 l -1/6) (cbrt.f64 c0))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V)))))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))) |
(*.f64 (pow.f64 (/.f64 A V) 1/6) (*.f64 (pow.f64 l -1/6) (cbrt.f64 c0))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) |
(*.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l))))) (pow.f64 (*.f64 1 c0) 1/3)) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))) |
(*.f64 (pow.f64 (/.f64 A V) 1/6) (*.f64 (pow.f64 l -1/6) (cbrt.f64 c0))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) |
(*.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l))))) (pow.f64 (*.f64 1 c0) 1/3)) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))) |
(*.f64 (pow.f64 (/.f64 A V) 1/6) (*.f64 (pow.f64 l -1/6) (cbrt.f64 c0))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) |
(*.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l))))) (pow.f64 (*.f64 1 c0) 1/3)) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))) |
(*.f64 (pow.f64 (/.f64 A V) 1/6) (*.f64 (pow.f64 l -1/6) (cbrt.f64 c0))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) |
(*.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l))))) (pow.f64 (*.f64 1 c0) 1/3)) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))) |
(*.f64 (pow.f64 (/.f64 A V) 1/6) (*.f64 (pow.f64 l -1/6) (cbrt.f64 c0))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 -1 l)))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (neg.f64 (log.f64 (/.f64 -1 A)))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 (/.f64 -1 A))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (/.f64 1 (*.f64 V l)) 1/6)) (pow.f64 (/.f64 -1 A) -1/6)) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (*.f64 (pow.f64 (*.f64 l V) -1/6) (pow.f64 (/.f64 -1 A) -1/6))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (neg.f64 (*.f64 l (/.f64 V A))) -1/6)) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 -1 l)))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (neg.f64 (log.f64 (/.f64 -1 A)))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 (/.f64 -1 A))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (/.f64 1 (*.f64 V l)) 1/6)) (pow.f64 (/.f64 -1 A) -1/6)) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (*.f64 (pow.f64 (*.f64 l V) -1/6) (pow.f64 (/.f64 -1 A) -1/6))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (neg.f64 (*.f64 l (/.f64 V A))) -1/6)) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 -1 l)))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (neg.f64 (log.f64 (/.f64 -1 A)))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 (/.f64 -1 A))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (/.f64 1 (*.f64 V l)) 1/6)) (pow.f64 (/.f64 -1 A) -1/6)) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (*.f64 (pow.f64 (*.f64 l V) -1/6) (pow.f64 (/.f64 -1 A) -1/6))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (neg.f64 (*.f64 l (/.f64 V A))) -1/6)) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 -1 l)))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (neg.f64 (log.f64 (/.f64 -1 A)))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 (/.f64 -1 A))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (/.f64 1 (*.f64 V l)) 1/6)) (pow.f64 (/.f64 -1 A) -1/6)) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (*.f64 (pow.f64 (*.f64 l V) -1/6) (pow.f64 (/.f64 -1 A) -1/6))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (neg.f64 (*.f64 l (/.f64 V A))) -1/6)) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) |
Compiled 10597 to 4162 computations (60.7% saved)
25 alts after pruning (23 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 727 | 18 | 745 |
| Fresh | 6 | 5 | 11 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 2 | 5 |
| Total | 737 | 25 | 762 |
| Status | Error | Program |
|---|---|---|
| 34.4b | (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))) c0) | |
| ▶ | 14.5b | (*.f64 c0 (sqrt.f64 (/.f64 A (/.f64 V (/.f64 1 l))))) |
| 16.0b | (*.f64 c0 (pow.f64 (pow.f64 (/.f64 (/.f64 A l) V) 1/4) 2)) | |
| 22.5b | (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) | |
| 34.9b | (*.f64 (pow.f64 (*.f64 V l) -1/2) (*.f64 (sqrt.f64 A) c0)) | |
| 30.1b | (*.f64 c0 (pow.f64 (*.f64 (/.f64 (cbrt.f64 (*.f64 A A)) l) (/.f64 (cbrt.f64 A) V)) 1/2)) | |
| 45.5b | (sqrt.f64 (/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))) | |
| ▶ | 45.4b | (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 V)) (/.f64 c0 (sqrt.f64 l))) |
| 37.6b | (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))) | |
| 14.9b | (*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A))) | |
| 38.1b | (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) 3)) | |
| ▶ | 22.5b | (*.f64 c0 (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V)))) |
| 35.0b | (/.f64 (*.f64 (sqrt.f64 A) c0) (pow.f64 (pow.f64 (*.f64 V l) 1/4) 2)) | |
| ✓ | 35.0b | (/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l))) |
| 37.1b | (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 2) | |
| ▶ | 16.4b | (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) |
| 16.7b | (*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V))))) | |
| 47.1b | (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V))) | |
| 52.0b | (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l)))) | |
| 15.9b | (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) | |
| ✓ | 14.5b | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 45.1b | (/.f64 (*.f64 (sqrt.f64 A) c0) (*.f64 (sqrt.f64 l) (sqrt.f64 V))) | |
| 15.9b | (*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))) | |
| 17.4b | (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 l (/.f64 V A)) -1/2) c0)) 3) | |
| ▶ | 16.7b | (*.f64 c0 (sqrt.f64 (/.f64 1 (*.f64 (/.f64 V A) l)))) |
Compiled 683 to 485 computations (29% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 V (/.f64 1 l)) |
| ✓ | 0.7b | (*.f64 c0 (sqrt.f64 (/.f64 A (/.f64 V (/.f64 1 l))))) |
| ✓ | 4.5b | (/.f64 A (/.f64 V (/.f64 1 l))) |
| ✓ | 13.0b | (sqrt.f64 (/.f64 A (/.f64 V (/.f64 1 l)))) |
Compiled 42 to 25 computations (40.5% saved)
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | V | @ | -inf | (sqrt.f64 (/.f64 A (/.f64 V (/.f64 1 l)))) |
| 1.0ms | A | @ | 0 | (sqrt.f64 (/.f64 A (/.f64 V (/.f64 1 l)))) |
| 1.0ms | l | @ | -inf | (sqrt.f64 (/.f64 A (/.f64 V (/.f64 1 l)))) |
| 1.0ms | l | @ | -inf | (*.f64 c0 (sqrt.f64 (/.f64 A (/.f64 V (/.f64 1 l))))) |
| 1.0ms | l | @ | inf | (/.f64 V (/.f64 1 l)) |
| 1× | batch-egg-rewrite |
| 610× | log-prod_binary64 |
| 377× | pow-prod-down_binary64 |
| 289× | pow2_binary64 |
| 220× | pow-unpow_binary64 |
| 204× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 44 |
| 1 | 232 | 32 |
| 2 | 3129 | 32 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (/.f64 A (/.f64 V (/.f64 1 l)))) |
(/.f64 A (/.f64 V (/.f64 1 l))) |
(*.f64 c0 (sqrt.f64 (/.f64 A (/.f64 V (/.f64 1 l))))) |
(/.f64 V (/.f64 1 l)) |
| Outputs |
|---|
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(log.f64 (*.f64 V (/.f64 l A))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1) 2)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 V l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 V) l)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 V) l))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 V l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 V l)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 V l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 l V)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 V l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 V) 2) (*.f64 (cbrt.f64 V) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 V l)) (cbrt.f64 (pow.f64 (*.f64 V l) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 V l) 2)) (cbrt.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 l) (/.f64 V (pow.f64 l -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 V) (*.f64 (sqrt.f64 V) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 V l)) (sqrt.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 V) (/.f64 1 (/.f64 -1 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 V) 2) 1) (/.f64 (cbrt.f64 V) (/.f64 1 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 V) 1) (/.f64 (sqrt.f64 V) (/.f64 1 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 l -2))) (/.f64 V (/.f64 1 (cbrt.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 V) 2) (cbrt.f64 (pow.f64 l -2))) (cbrt.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 V) (cbrt.f64 (pow.f64 l -2))) (/.f64 (sqrt.f64 V) (/.f64 1 (cbrt.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 V) 2) (pow.f64 l -1/2)) (/.f64 (cbrt.f64 V) (pow.f64 l -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 V -1) (neg.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 V (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 V (sqrt.f64 l)) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 V l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V l) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V l) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 V l)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 V l)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 V l)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 V 3) (pow.f64 l -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (*.f64 V l)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 V 3) (pow.f64 l 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 l 3) (pow.f64 V 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 l) (cbrt.f64 V)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 l) (sqrt.f64 V)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 V (/.f64 -1 l)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 V l) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 V) l))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 V l) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 V 3) (pow.f64 l -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 V l)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 V l))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 V l))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 V l))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 V l))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 V l)) 1) 1)))))) |
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
| 2× | associate-/r*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 492 |
| 1 | 13 | 492 |
| 2 | 15 | 492 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 V l) |
(*.f64 V l) |
(*.f64 V l) |
(*.f64 V l) |
(*.f64 V l) |
(*.f64 V l) |
(*.f64 V l) |
(*.f64 V l) |
(*.f64 V l) |
(*.f64 V l) |
(*.f64 V l) |
(*.f64 V l) |
(*.f64 V l) |
(*.f64 V l) |
(*.f64 V l) |
(*.f64 V l) |
(*.f64 V l) |
(*.f64 V l) |
(*.f64 V l) |
(*.f64 V l) |
(*.f64 V l) |
(*.f64 V l) |
(*.f64 V l) |
(*.f64 V l) |
| Outputs |
|---|
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 V l) |
(*.f64 V l) |
(*.f64 V l) |
(*.f64 V l) |
(*.f64 V l) |
(*.f64 V l) |
(*.f64 V l) |
(*.f64 V l) |
(*.f64 V l) |
(*.f64 V l) |
(*.f64 V l) |
(*.f64 V l) |
(*.f64 V l) |
(*.f64 V l) |
(*.f64 V l) |
(*.f64 V l) |
(*.f64 V l) |
(*.f64 V l) |
(*.f64 V l) |
(*.f64 V l) |
(*.f64 V l) |
(*.f64 V l) |
(*.f64 V l) |
(*.f64 V l) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.7b | (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) |
| 5.9b | (/.f64 (/.f64 A V) l) | |
| 13.0b | (sqrt.f64 (/.f64 (/.f64 A V) l)) |
Compiled 30 to 8 computations (73.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | V | @ | -inf | (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) |
| 1.0ms | l | @ | -inf | (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) |
| 1.0ms | A | @ | -inf | (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) |
| 1.0ms | A | @ | 0 | (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) |
| 1.0ms | V | @ | inf | (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) |
| 1× | batch-egg-rewrite |
| 536× | log-prod_binary64 |
| 398× | exp-prod_binary64 |
| 363× | pow-prod-down_binary64 |
| 257× | pow2_binary64 |
| 185× | pow-unpow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 12 |
| 1 | 191 | 12 |
| 2 | 2648 | 12 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))))) 2)) (cbrt.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))))) (sqrt.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))) 1) 1)))))) |
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
| 2× | associate-/r*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 144 |
| 1 | 13 | 144 |
| 2 | 15 | 144 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (/.f64 1 (*.f64 (/.f64 V A) l)) |
| ✓ | 0.7b | (*.f64 c0 (sqrt.f64 (/.f64 1 (*.f64 (/.f64 V A) l)))) |
| ✓ | 6.1b | (*.f64 (/.f64 V A) l) |
| ✓ | 13.0b | (sqrt.f64 (/.f64 1 (*.f64 (/.f64 V A) l))) |
Compiled 42 to 16 computations (61.9% saved)
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | c0 | @ | 0 | (*.f64 c0 (sqrt.f64 (/.f64 1 (*.f64 (/.f64 V A) l)))) |
| 1.0ms | V | @ | 0 | (*.f64 (/.f64 V A) l) |
| 1.0ms | l | @ | -inf | (*.f64 c0 (sqrt.f64 (/.f64 1 (*.f64 (/.f64 V A) l)))) |
| 1.0ms | l | @ | 0 | (*.f64 (/.f64 V A) l) |
| 1.0ms | V | @ | 0 | (sqrt.f64 (/.f64 1 (*.f64 (/.f64 V A) l))) |
| 1× | batch-egg-rewrite |
| 567× | log-prod_binary64 |
| 424× | exp-prod_binary64 |
| 370× | pow-prod-down_binary64 |
| 282× | pow2_binary64 |
| 201× | pow-unpow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 44 |
| 1 | 226 | 35 |
| 2 | 2904 | 35 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (/.f64 1 (*.f64 (/.f64 V A) l))) |
(*.f64 (/.f64 V A) l) |
(*.f64 c0 (sqrt.f64 (/.f64 1 (*.f64 (/.f64 V A) l)))) |
(/.f64 1 (*.f64 (/.f64 V A) l)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) (pow.f64 (*.f64 (/.f64 V A) l) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/6) (cbrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/4) (pow.f64 (*.f64 (/.f64 V A) l) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (*.f64 (/.f64 V A) l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (sqrt.f64 (*.f64 (/.f64 V A) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -1) (sqrt.f64 (*.f64 (/.f64 V A) (neg.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 V A) l) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 A V) l) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 V A) l) -2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 V A) l) -3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 V A) l) -3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 V A) l) 3) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 V A) l)) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))) (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 V A) l) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 A V) l)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 V A) l)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 V A) l) -3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 V A) l))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 V A) l)) 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 V A) l)) -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 A V) l)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 A V) l)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 V A) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 l) (/.f64 V A))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 l) (/.f64 V A)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 l) (/.f64 V A)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 l) (/.f64 V A)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 V A) l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 A V) l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 A (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 V (/.f64 A l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 V A) (/.f64 1 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 l (/.f64 A V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 V A) l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 V A) l)) 2) (cbrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) (sqrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 V A) (neg.f64 l)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 V l) A)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 V l)) (neg.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 V l) 1) A)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 V l) (pow.f64 (cbrt.f64 A) 2)) (cbrt.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 V l) (sqrt.f64 A)) (sqrt.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 V) l) (neg.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l (neg.f64 V)) (neg.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 V A) l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 A V) l) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (/.f64 V A) l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 V A) l) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 V A) l) -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 V A) l) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 V A) l) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 V A) l)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 A (*.f64 V l)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 V A) l))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 V A) l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 V A) l)))) (sqrt.f64 (log.f64 (*.f64 (/.f64 V A) l))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 V A) l) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 l) (/.f64 V A)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 V A) l))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 V A) l) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 V A) l)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 V A) l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 V A) l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 V A) l)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 V A) l))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 V A) l))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 V A) l))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 V A) l)) 1) 1)))))) |
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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (log.f64 (*.f64 (/.f64 V A) l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (*.f64 (/.f64 V A) (neg.f64 l))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 A V) l))) 2)) (cbrt.f64 (log.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 A V) l)))) (sqrt.f64 (log.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 V A) l) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 V A) l) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 V A) l)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 A V) l)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 V A) l) -2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 V A) l) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 A V) l))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 V A) l)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 V A) l)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 A V) l)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 A V) l)) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) 1) 2)))))) |
| 1× | egg-herbie |
| 4× | *-commutative_binary64 |
| 2× | associate-/r*_binary64 |
| 2× | associate-/l*_binary64 |
| 2× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 648 |
| 1 | 16 | 648 |
| 2 | 20 | 648 |
| 3 | 23 | 648 |
| 4 | 24 | 648 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
| Outputs |
|---|
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 l (/.f64 V A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 l (/.f64 V A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 l (/.f64 V A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 l (/.f64 V A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 l (/.f64 V A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 l (/.f64 V A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 l (/.f64 V A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 l (/.f64 V A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 l (/.f64 V A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 l (/.f64 V A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 l (/.f64 V A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 l (/.f64 V A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 l (/.f64 V A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 l (/.f64 V A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 l (/.f64 V A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 l (/.f64 V A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 l (/.f64 V A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 l (/.f64 V A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 l (/.f64 V A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 l (/.f64 V A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 l (/.f64 V A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 l (/.f64 V A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 l (/.f64 V A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 l (/.f64 V A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 l (/.f64 V A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 l (/.f64 V A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 l (/.f64 V A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 l (/.f64 V A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 l (/.f64 V A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 l (/.f64 V A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 l (/.f64 V A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 l (/.f64 V A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 l (/.f64 V A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 l (/.f64 V A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 l (/.f64 V A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 l (/.f64 V A)) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(/.f64 A (*.f64 V l)) |
(/.f64 (/.f64 A V) l) |
(/.f64 A (*.f64 V l)) |
(/.f64 (/.f64 A V) l) |
(/.f64 A (*.f64 V l)) |
(/.f64 (/.f64 A V) l) |
(/.f64 A (*.f64 V l)) |
(/.f64 (/.f64 A V) l) |
(/.f64 A (*.f64 V l)) |
(/.f64 (/.f64 A V) l) |
(/.f64 A (*.f64 V l)) |
(/.f64 (/.f64 A V) l) |
(/.f64 A (*.f64 V l)) |
(/.f64 (/.f64 A V) l) |
(/.f64 A (*.f64 V l)) |
(/.f64 (/.f64 A V) l) |
(/.f64 A (*.f64 V l)) |
(/.f64 (/.f64 A V) l) |
(/.f64 A (*.f64 V l)) |
(/.f64 (/.f64 A V) l) |
(/.f64 A (*.f64 V l)) |
(/.f64 (/.f64 A V) l) |
(/.f64 A (*.f64 V l)) |
(/.f64 (/.f64 A V) l) |
(/.f64 A (*.f64 V l)) |
(/.f64 (/.f64 A V) l) |
(/.f64 A (*.f64 V l)) |
(/.f64 (/.f64 A V) l) |
(/.f64 A (*.f64 V l)) |
(/.f64 (/.f64 A V) l) |
(/.f64 A (*.f64 V l)) |
(/.f64 (/.f64 A V) l) |
(/.f64 A (*.f64 V l)) |
(/.f64 (/.f64 A V) l) |
(/.f64 A (*.f64 V l)) |
(/.f64 (/.f64 A V) l) |
(/.f64 A (*.f64 V l)) |
(/.f64 (/.f64 A V) l) |
(/.f64 A (*.f64 V l)) |
(/.f64 (/.f64 A V) l) |
(/.f64 A (*.f64 V l)) |
(/.f64 (/.f64 A V) l) |
(/.f64 A (*.f64 V l)) |
(/.f64 (/.f64 A V) l) |
(/.f64 A (*.f64 V l)) |
(/.f64 (/.f64 A V) l) |
(/.f64 A (*.f64 V l)) |
(/.f64 (/.f64 A V) l) |
(/.f64 A (*.f64 V l)) |
(/.f64 (/.f64 A V) l) |
(/.f64 A (*.f64 V l)) |
(/.f64 (/.f64 A V) l) |
(/.f64 A (*.f64 V l)) |
(/.f64 (/.f64 A V) l) |
(/.f64 A (*.f64 V l)) |
(/.f64 (/.f64 A V) l) |
(/.f64 A (*.f64 V l)) |
(/.f64 (/.f64 A V) l) |
(/.f64 A (*.f64 V l)) |
(/.f64 (/.f64 A V) l) |
(/.f64 A (*.f64 V l)) |
(/.f64 (/.f64 A V) l) |
(/.f64 A (*.f64 V l)) |
(/.f64 (/.f64 A V) l) |
(/.f64 A (*.f64 V l)) |
(/.f64 (/.f64 A V) l) |
(/.f64 A (*.f64 V l)) |
(/.f64 (/.f64 A V) l) |
(/.f64 A (*.f64 V l)) |
(/.f64 (/.f64 A V) l) |
(/.f64 A (*.f64 V l)) |
(/.f64 (/.f64 A V) l) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V))) |
| ✓ | 0.4b | (*.f64 c0 (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V)))) |
| ✓ | 12.4b | (sqrt.f64 (/.f64 A V)) |
Compiled 37 to 16 computations (56.8% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | A | @ | 0 | (sqrt.f64 (/.f64 A V)) |
| 2.0ms | A | @ | -inf | (sqrt.f64 (/.f64 A V)) |
| 1.0ms | V | @ | -inf | (sqrt.f64 (/.f64 A V)) |
| 1.0ms | V | @ | 0 | (sqrt.f64 (/.f64 A V)) |
| 1.0ms | A | @ | inf | (sqrt.f64 (/.f64 A V)) |
| 1× | batch-egg-rewrite |
| 580× | log-prod_binary64 |
| 428× | exp-prod_binary64 |
| 389× | pow-prod-down_binary64 |
| 296× | pow2_binary64 |
| 231× | pow-unpow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 33 |
| 1 | 232 | 33 |
| 2 | 2872 | 33 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (/.f64 A V)) |
(*.f64 c0 (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V)))) |
(*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 A V)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 A V)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 A V))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 A V))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 A V))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 A V)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A V)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 A V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A V) 1/6) (cbrt.f64 (/.f64 A V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 A V)) (pow.f64 (/.f64 A V) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A V) 1/4) (pow.f64 (/.f64 A V) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 A) (pow.f64 V -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 V A)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 V) (sqrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 A) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 A)) (neg.f64 (sqrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 A V) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 A V)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A V) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A V) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 V A) -3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A V) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 A V)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A V) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 V A) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (/.f64 A V))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log.f64 (/.f64 A V)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 V A)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 V) (sqrt.f64 A)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 A V)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 A V)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 A V))))) (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 A V)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 A V)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 A V))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 A V)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 A V) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 A V))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 A V))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 A V))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 A V)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A V))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (/.f64 A V))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 A V) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (/.f64 A V))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 A V)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 A V)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A V))) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 A V))) (*.f64 c0 (pow.f64 l -1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 A V))) (*.f64 c0 (pow.f64 l -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 A V))) (*.f64 c0 (pow.f64 l -1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 A V))) (*.f64 c0 (pow.f64 l -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c0 (pow.f64 l -1/2)) (sqrt.f64 A)) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 c0 c0) (*.f64 (/.f64 A V) (/.f64 1 l))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))))) 2)) (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2)))))) (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 c0 c0) (*.f64 (/.f64 A V) (/.f64 1 l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 A V))) (*.f64 c0 (pow.f64 l -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2)))) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 A V))) (pow.f64 l -1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 A V))) (pow.f64 l -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 A V))) (pow.f64 l -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 A V))) (pow.f64 l -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 A) (pow.f64 l -1/2)) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 l -1/2) (sqrt.f64 A)) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 A V) (/.f64 1 l)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 A V) 3/2) (pow.f64 l -3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 A V) 1/6) (pow.f64 l -1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 A V) 1/4) (pow.f64 l -1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l -1/2)))) 2)) (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l -1/2))))) (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 A V))) (pow.f64 l -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 A V) 3/2) (pow.f64 l -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (/.f64 A V) 3/2) (pow.f64 l -3/2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (/.f64 A V) 1/6) (pow.f64 l -1/6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (/.f64 A V) 1/4) (pow.f64 l -1/4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l -1/2))) 1) 1)))))) |
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
| 2× | associate-/r*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 144 |
| 1 | 13 | 144 |
| 2 | 15 | 144 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (sqrt.f64 A) (sqrt.f64 V)) |
| ✓ | 0.2b | (/.f64 c0 (sqrt.f64 l)) |
| ✓ | 1.1b | (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 V)) (/.f64 c0 (sqrt.f64 l))) |
Compiled 33 to 10 computations (69.7% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | c0 | @ | 0 | (/.f64 c0 (sqrt.f64 l)) |
| 1.0ms | V | @ | -inf | (/.f64 (sqrt.f64 A) (sqrt.f64 V)) |
| 1.0ms | l | @ | -inf | (/.f64 c0 (sqrt.f64 l)) |
| 1.0ms | A | @ | 0 | (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 V)) (/.f64 c0 (sqrt.f64 l))) |
| 1.0ms | V | @ | -inf | (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 V)) (/.f64 c0 (sqrt.f64 l))) |
| 1× | batch-egg-rewrite |
| 640× | log-prod_binary64 |
| 489× | pow-prod-down_binary64 |
| 305× | pow2_binary64 |
| 244× | pow-unpow_binary64 |
| 216× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 26 |
| 1 | 235 | 26 |
| 2 | 3249 | 26 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 V)) (/.f64 c0 (sqrt.f64 l))) |
(/.f64 c0 (sqrt.f64 l)) |
(/.f64 (sqrt.f64 A) (sqrt.f64 V)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 3× | *-commutative_binary64 |
| 2× | associate-/r*_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 252 |
| 1 | 20 | 252 |
| 2 | 22 | 252 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 1 l)) c0) |
(*.f64 (sqrt.f64 (/.f64 1 l)) c0) |
(*.f64 (sqrt.f64 (/.f64 1 l)) c0) |
(*.f64 (sqrt.f64 (/.f64 1 l)) c0) |
(*.f64 (sqrt.f64 (/.f64 1 l)) c0) |
(*.f64 (sqrt.f64 (/.f64 1 l)) c0) |
(*.f64 (sqrt.f64 (/.f64 1 l)) c0) |
(*.f64 (sqrt.f64 (/.f64 1 l)) c0) |
(*.f64 (sqrt.f64 (/.f64 1 l)) c0) |
(*.f64 (sqrt.f64 (/.f64 1 l)) c0) |
(*.f64 (sqrt.f64 (/.f64 1 l)) c0) |
(*.f64 (sqrt.f64 (/.f64 1 l)) c0) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 (sqrt.f64 (/.f64 1 l)) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 1 l))) |
(*.f64 (sqrt.f64 (/.f64 1 l)) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 1 l))) |
(*.f64 (sqrt.f64 (/.f64 1 l)) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 1 l))) |
(*.f64 (sqrt.f64 (/.f64 1 l)) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 1 l))) |
(*.f64 (sqrt.f64 (/.f64 1 l)) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 1 l))) |
(*.f64 (sqrt.f64 (/.f64 1 l)) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 1 l))) |
(*.f64 (sqrt.f64 (/.f64 1 l)) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 1 l))) |
(*.f64 (sqrt.f64 (/.f64 1 l)) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 1 l))) |
(*.f64 (sqrt.f64 (/.f64 1 l)) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 1 l))) |
(*.f64 (sqrt.f64 (/.f64 1 l)) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 1 l))) |
(*.f64 (sqrt.f64 (/.f64 1 l)) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 1 l))) |
(*.f64 (sqrt.f64 (/.f64 1 l)) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 1 l))) |
Compiled 9687 to 3730 computations (61.5% saved)
24 alts after pruning (18 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 726 | 12 | 738 |
| Fresh | 12 | 6 | 18 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 5 | 6 |
| Total | 739 | 24 | 763 |
| Status | Error | Program |
|---|---|---|
| ▶ | 14.9b | (*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A))) |
| ✓ | 14.5b | (*.f64 c0 (sqrt.f64 (/.f64 A (/.f64 V (/.f64 1 l))))) |
| 34.9b | (*.f64 (pow.f64 (*.f64 V l) -1/2) (*.f64 (sqrt.f64 A) c0)) | |
| 45.5b | (sqrt.f64 (/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))) | |
| ✓ | 45.4b | (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 V)) (/.f64 c0 (sqrt.f64 l))) |
| 16.7b | (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l))) | |
| 35.0b | (/.f64 (*.f64 (sqrt.f64 A) c0) (pow.f64 (pow.f64 (*.f64 V l) 1/4) 2)) | |
| ✓ | 35.0b | (/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l))) |
| ▶ | 46.7b | (sqrt.f64 (*.f64 (/.f64 (*.f64 c0 c0) l) (/.f64 A V))) |
| 16.7b | (*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V))))) | |
| ✓ | 16.4b | (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) |
| ▶ | 47.1b | (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V))) |
| ▶ | 37.6b | (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 (neg.f64 V) l)))) |
| 15.7b | (*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 V (/.f64 l A))))) | |
| ▶ | 15.9b | (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) |
| 23.8b | (/.f64 (sqrt.f64 (/.f64 A V)) (/.f64 (sqrt.f64 l) c0)) | |
| ✓ | 14.5b | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 15.7b | (*.f64 c0 (pow.f64 (*.f64 V (/.f64 l A)) -1/2)) | |
| ✓ | 22.5b | (*.f64 c0 (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V)))) |
| 24.0b | (/.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 V A))) | |
| 16.6b | (*.f64 c0 (pow.f64 (*.f64 (/.f64 V A) l) -1/2)) | |
| 34.7b | (*.f64 c0 (*.f64 (pow.f64 l -1/2) (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))))) | |
| 52.0b | (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l)))) | |
| 45.4b | (*.f64 (*.f64 (pow.f64 A 1/4) (*.f64 (pow.f64 A 1/4) (pow.f64 V -1/2))) (/.f64 c0 (sqrt.f64 l))) |
Compiled 591 to 417 computations (29.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (/.f64 1 (*.f64 V l)) |
| ✓ | 0.7b | (*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A))) |
| ✓ | 4.9b | (*.f64 (/.f64 1 (*.f64 V l)) A) |
| ✓ | 13.0b | (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A)) |
Compiled 42 to 20 computations (52.4% saved)
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | V | @ | 0 | (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A)) |
| 0.0ms | V | @ | -inf | (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A)) |
| 0.0ms | V | @ | inf | (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A)) |
| 0.0ms | l | @ | 0 | (/.f64 1 (*.f64 V l)) |
| 0.0ms | V | @ | -inf | (/.f64 1 (*.f64 V l)) |
| 1× | batch-egg-rewrite |
| 549× | log-prod_binary64 |
| 474× | prod-exp_binary64 |
| 408× | exp-prod_binary64 |
| 369× | pow-prod-down_binary64 |
| 268× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 35 |
| 1 | 219 | 35 |
| 2 | 2664 | 35 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A)) |
(*.f64 (/.f64 1 (*.f64 V l)) A) |
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A))) |
(/.f64 1 (*.f64 V l)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) (pow.f64 (/.f64 (/.f64 A V) l) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/6) (cbrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4) (pow.f64 (/.f64 (/.f64 A V) l) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 V l) -1/2) (sqrt.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 A) (pow.f64 (*.f64 V l) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 A V) l) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))) (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 A V) l)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (/.f64 (/.f64 A V) l))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (/.f64 (/.f64 A V) l))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 A V) l)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 A V) l)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 A V) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 A V) l))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 A V) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 A V) l)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 A V) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 A V) l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 V l) A))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 A (*.f64 V l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 A) 2) (/.f64 (*.f64 V l) (cbrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 A) (/.f64 (*.f64 V l) (sqrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 A) (*.f64 l (neg.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 A l) V)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 A V) l)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 A (sqrt.f64 (*.f64 V l))) (sqrt.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 A 1) (*.f64 V l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 A (pow.f64 (cbrt.f64 (*.f64 V l)) 2)) (cbrt.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 A) (*.f64 l (neg.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 V) A) l)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 A -1) (*.f64 l (neg.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 A (/.f64 1 V)) l)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 A V) l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 A 3) (pow.f64 (*.f64 V l) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 V l) A) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 A V) l))) 2)) (cbrt.f64 (log.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 A V) l)))) (sqrt.f64 (log.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 A V) l) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 A 3) (pow.f64 (*.f64 V l) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 A V) l)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 (/.f64 A V) l))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (/.f64 A V) l))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 A V) l))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 A V) l)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 A V) l)) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 A) 1) (log.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 A) (*.f64 (log.f64 (*.f64 V l)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 A) 1) (*.f64 (log.f64 (*.f64 V l)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 V l)) -1) (log.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 (*.f64 V l))) 1) (log.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (*.f64 (log.f64 A) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 V l)) -1) (*.f64 (log.f64 A) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 (*.f64 V l))) 1) (*.f64 (log.f64 A) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 A) 1) (neg.f64 (log.f64 (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 A) (*.f64 (log.f64 (*.f64 V l)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 A) 1) (*.f64 (log.f64 (*.f64 V l)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 A) (*.f64 (neg.f64 (log.f64 (*.f64 V l))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 A) 1) (*.f64 (neg.f64 (log.f64 (*.f64 V l))) 1)))))) (#(struct:change 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(log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) 1) (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) 1))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))) 2)) (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)))) (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (/.f64 A V) l)) 1/2) (log.f64 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) 1) (log.f64 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) (*.f64 (log.f64 c0) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (/.f64 A V) l)) 1/2) (*.f64 (log.f64 c0) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) 1) (*.f64 (log.f64 c0) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 c0) 1) (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 c0) (*.f64 (log.f64 (/.f64 (/.f64 A V) l)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 c0) 1) (*.f64 (log.f64 (/.f64 (/.f64 A V) l)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 c0) (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 c0) 1) (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) 1))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 1 V) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 1 V) l))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 1 V) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 1 V) l)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 1 V) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1 V) l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 1 V) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 V) l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 V l))) (cbrt.f64 (pow.f64 (*.f64 V l) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 V l) -2)) (/.f64 1 (cbrt.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 V l) -1/2) (pow.f64 (*.f64 V l) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 l (neg.f64 V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 V) (/.f64 1 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 l) (/.f64 1 V))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 V l)) -2) (/.f64 1 (cbrt.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 V l) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 V) l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (neg.f64 (log.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V l) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V l) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V l) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V l) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 V l)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (*.f64 V l))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 V l)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V l) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (log.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (*.f64 l (neg.f64 V))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (*.f64 V l)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (*.f64 V l))))) (sqrt.f64 (neg.f64 (log.f64 (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 V l) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 1 V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1 V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 V l) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 1 V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 1 V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 V l)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 V l))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 V l)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 V l) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (*.f64 V l)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (*.f64 V l))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 V l)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 V l)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (*.f64 V l))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (neg.f64 (log.f64 V)) (*.f64 (log.f64 l) 1))))))) |
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
| 2× | associate-/r*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 396 |
| 1 | 13 | 396 |
| 2 | 15 | 396 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
| Outputs |
|---|
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.7b | (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) |
| ✓ | 5.5b | (/.f64 (/.f64 A l) V) |
| ✓ | 13.0b | (sqrt.f64 (/.f64 (/.f64 A l) V)) |
Compiled 30 to 8 computations (73.3% saved)
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | V | @ | inf | (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) |
| 1.0ms | A | @ | 0 | (sqrt.f64 (/.f64 (/.f64 A l) V)) |
| 0.0ms | A | @ | -inf | (sqrt.f64 (/.f64 (/.f64 A l) V)) |
| 0.0ms | A | @ | inf | (sqrt.f64 (/.f64 (/.f64 A l) V)) |
| 0.0ms | l | @ | -inf | (sqrt.f64 (/.f64 (/.f64 A l) V)) |
| 1× | batch-egg-rewrite |
| 536× | log-prod_binary64 |
| 398× | exp-prod_binary64 |
| 362× | pow-prod-down_binary64 |
| 257× | pow2_binary64 |
| 185× | pow-unpow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 28 |
| 1 | 191 | 28 |
| 2 | 2648 | 28 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (/.f64 (/.f64 A l) V)) |
(/.f64 (/.f64 A l) V) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 l V))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 A (*.f64 l V))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 A (*.f64 l V))) (pow.f64 (/.f64 A (*.f64 l V)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 l V)) 1/6) (cbrt.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 l V)) 1/4) (pow.f64 (/.f64 A (*.f64 l V)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A l)) (pow.f64 V -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (*.f64 V (/.f64 l A))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 V) (sqrt.f64 (/.f64 A l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (/.f64 A l))) (neg.f64 (sqrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 A (*.f64 l V)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 l V)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 l V)) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 l V)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 A (*.f64 l V))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 l V)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 l V)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 V (/.f64 l A)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 V) (sqrt.f64 (/.f64 A l))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 l V))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))) (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 A (*.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 A (*.f64 l V)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 A (*.f64 l V))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (/.f64 A (*.f64 l V)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 A (*.f64 l V)) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (/.f64 A (*.f64 l V)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 A (*.f64 l V))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 A (*.f64 l V))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 A (*.f64 l V)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 A (*.f64 l V)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 A (*.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 A (*.f64 l V))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 A (*.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 A (*.f64 l V)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 A (/.f64 1 (*.f64 l V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 A l) (/.f64 1 V))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 A (*.f64 l V)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) (sqrt.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 A (*.f64 l V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 A (*.f64 l V))) (pow.f64 (cbrt.f64 (/.f64 A (*.f64 l V))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 A (*.f64 l V))) 2) (cbrt.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 A l) 2)) (*.f64 (cbrt.f64 (/.f64 A l)) (/.f64 1 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 l V)) 1/4) (pow.f64 (/.f64 A (*.f64 l V)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A l)) (*.f64 (sqrt.f64 (/.f64 A l)) (/.f64 1 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 A) l) (/.f64 1 (neg.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 V) (/.f64 A l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 l V)) 3/4) (pow.f64 (/.f64 A (*.f64 l V)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 V -1/2) (/.f64 (/.f64 A l) (sqrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 A) 2) V) (/.f64 (cbrt.f64 A) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 A) V) (/.f64 (sqrt.f64 A) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 A 1) (/.f64 (/.f64 1 l) V))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 A l) 2)) 1) (/.f64 (cbrt.f64 (/.f64 A l)) V))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 A l)) 1) (/.f64 (sqrt.f64 (/.f64 A l)) V))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 A (pow.f64 (cbrt.f64 V) 2)) (/.f64 (/.f64 1 l) (cbrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 V) -2) (/.f64 (/.f64 A l) (cbrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 A l) 2)) (pow.f64 (cbrt.f64 V) 2)) (cbrt.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 A l)) (pow.f64 (cbrt.f64 V) 2)) (/.f64 (sqrt.f64 (/.f64 A l)) (cbrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 A (sqrt.f64 V)) (/.f64 (/.f64 1 l) (sqrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 A l) 2)) (sqrt.f64 V)) (/.f64 (cbrt.f64 (/.f64 A l)) (sqrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 l V)) 5/6) (pow.f64 (/.f64 A (*.f64 l V)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 A (*.f64 l V)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 l V)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 l V)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 l V)) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 A (*.f64 l V))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 l V)) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 l V)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 V (/.f64 l A)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 A l) 3) (pow.f64 V 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 l A) V) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 l V) A) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 V (/.f64 l A)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 A (*.f64 l V)))) 2)) (cbrt.f64 (log.f64 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 A (*.f64 l V))))) (sqrt.f64 (log.f64 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 A l) (neg.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 A (*.f64 l V)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 A (*.f64 l V)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 A l) 3) (pow.f64 V 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 A (*.f64 l V))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 A (*.f64 l V)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 A (*.f64 l V)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 A (*.f64 l V)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 V (/.f64 l A))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 A (*.f64 l V))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 A (*.f64 l V))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 A) 1) (log.f64 (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 A l)) 1) (log.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 A l)) (*.f64 (log.f64 V) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 A l)) 1) (*.f64 (log.f64 V) 1))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 l V))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 l V)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 l V)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 l V)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c0 (sqrt.f64 (/.f64 A l))) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 A (*.f64 l V)) (*.f64 c0 c0)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0))) 2)) (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0)))) (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 A (*.f64 l V)) (*.f64 c0 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0)) 1) 1)))))) |
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
| 2× | associate-/r*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 396 |
| 1 | 13 | 396 |
| 2 | 15 | 396 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
| Outputs |
|---|
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 7.9b | (/.f64 (*.f64 c0 c0) l) |
| ✓ | 11.2b | (*.f64 (/.f64 (*.f64 c0 c0) l) (/.f64 A V)) |
| ✓ | 22.3b | (sqrt.f64 (*.f64 (/.f64 (*.f64 c0 c0) l) (/.f64 A V))) |
Compiled 38 to 9 computations (76.3% saved)
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | l | @ | 0 | (*.f64 (/.f64 (*.f64 c0 c0) l) (/.f64 A V)) |
| 1.0ms | l | @ | inf | (*.f64 (/.f64 (*.f64 c0 c0) l) (/.f64 A V)) |
| 1.0ms | c0 | @ | inf | (*.f64 (/.f64 (*.f64 c0 c0) l) (/.f64 A V)) |
| 1.0ms | A | @ | 0 | (*.f64 (/.f64 (*.f64 c0 c0) l) (/.f64 A V)) |
| 1.0ms | c0 | @ | 0 | (*.f64 (/.f64 (*.f64 c0 c0) l) (/.f64 A V)) |
| 1× | batch-egg-rewrite |
| 615× | log-prod_binary64 |
| 493× | pow-prod-down_binary64 |
| 293× | pow2_binary64 |
| 238× | pow-unpow_binary64 |
| 207× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 35 |
| 1 | 218 | 34 |
| 2 | 3158 | 34 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 (/.f64 (*.f64 c0 c0) l) (/.f64 A V))) |
(*.f64 (/.f64 (*.f64 c0 c0) l) (/.f64 A V)) |
(/.f64 (*.f64 c0 c0) l) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 (/.f64 c0 l) c0) (/.f64 A V)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 A V)) (*.f64 (/.f64 c0 l) c0))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 A V)) (*.f64 (/.f64 c0 l) c0)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 A V)) (*.f64 (/.f64 c0 l) c0)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 A V)) (*.f64 (/.f64 c0 l) c0)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 c0 l) c0) (/.f64 A V)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c0 (*.f64 (/.f64 l c0) (/.f64 V A)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c0 (*.f64 (/.f64 V A) (/.f64 l c0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c0 c0) (*.f64 l (/.f64 V A)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c0 c0) (*.f64 (/.f64 V A) l))))) (#(struct:change 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((x /.f64 (*.f64 (neg.f64 A) (*.f64 (/.f64 c0 l) c0)) (neg.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (/.f64 c0 l) c0) (neg.f64 A)) (neg.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 A V) c0) (/.f64 l c0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 A V) (*.f64 c0 (neg.f64 c0))) (neg.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (/.f64 c0 l) c0) (/.f64 A V)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 l V))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (/.f64 c0 l) c0) (/.f64 A V)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (/.f64 c0 l) c0) (/.f64 A V)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (/.f64 c0 l) c0) (/.f64 A V)) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 c0 l) c0) (/.f64 A V))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (/.f64 c0 l) c0) (/.f64 A V)) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (/.f64 c0 l) c0) (/.f64 A V)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 l (pow.f64 c0 -2)) (/.f64 V A)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 V A) (*.f64 l (pow.f64 c0 -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 l V) (*.f64 (*.f64 c0 c0) A)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 l (*.f64 c0 (*.f64 c0 (/.f64 A V)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 V (*.f64 (*.f64 (/.f64 c0 l) c0) A)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 (/.f64 c0 l) c0) (/.f64 A V)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 A V)) (*.f64 (/.f64 c0 l) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (/.f64 c0 l) c0) (/.f64 A V)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (/.f64 c0 l) c0) (/.f64 A V)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 c0 l) c0) (/.f64 A V))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (/.f64 c0 l) c0) (/.f64 A V))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (/.f64 c0 l) c0) (/.f64 A V))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (/.f64 c0 l) c0) (/.f64 A V))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 l V)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 (*.f64 (/.f64 c0 l) c0) (/.f64 A V)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (*.f64 (/.f64 c0 l) c0) (/.f64 A V)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 c0 l) c0) (/.f64 A V)))) 3)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 c0 l) c0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 c0 l) c0))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 c0 l) c0)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 c0 l) c0)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 c0 l) c0)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 c0 l) c0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c0 (/.f64 1 (/.f64 l c0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c0 (*.f64 c0 (/.f64 1 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c0 c0) (/.f64 1 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 c0 l) c0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 c0 l) c0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 c0 l) c0)) (cbrt.f64 (pow.f64 (/.f64 c0 (sqrt.f64 l)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 c0 (sqrt.f64 l)) 4)) (cbrt.f64 (*.f64 (/.f64 c0 l) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 c0) c0) (*.f64 (pow.f64 (cbrt.f64 c0) 2) (/.f64 1 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c0 (sqrt.f64 l)) (/.f64 c0 (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c0 (neg.f64 c0)) (/.f64 1 (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 l) (*.f64 c0 c0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c0 1) (/.f64 c0 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c0 l) c0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cbrt.f64 c0) c0) 1) (/.f64 (pow.f64 (cbrt.f64 c0) 2) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c0 (cbrt.f64 (*.f64 l l))) (/.f64 c0 (cbrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 l) -2) (/.f64 (*.f64 c0 c0) (cbrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cbrt.f64 c0) c0) (cbrt.f64 (*.f64 l l))) (cbrt.f64 (*.f64 (/.f64 c0 l) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 l -1/2) (/.f64 (*.f64 c0 c0) (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cbrt.f64 c0) c0) (sqrt.f64 l)) (/.f64 (pow.f64 (cbrt.f64 c0) 2) (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 c0 l) c0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 c0 (sqrt.f64 l)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 c0 (sqrt.f64 l)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 c0 l) c0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 c0 (sqrt.f64 l)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 l (pow.f64 c0 -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 c0 6) (pow.f64 l 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 l (pow.f64 c0 -2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 c0 c0) (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 c0 (sqrt.f64 l)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 c0 l) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 c0 l) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 c0 (sqrt.f64 l)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 c0 6) (pow.f64 l 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 c0 l) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 c0 l) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 c0 l) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 c0 l) c0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 c0 (sqrt.f64 l)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 c0 l) c0))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 c0 (sqrt.f64 l))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 l (pow.f64 c0 -2))) -1)))))) |
| 1× | egg-herbie |
| 541× | fma-neg_binary64 |
| 381× | times-frac_binary64 |
| 330× | unswap-sqr_binary64 |
| 329× | associate-/l*_binary64 |
| 299× | div-sub_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 944 |
| 1 | 35 | 944 |
| 2 | 86 | 944 |
| 3 | 219 | 944 |
| 4 | 725 | 944 |
| 5 | 3061 | 944 |
| 6 | 3366 | 944 |
| 7 | 4279 | 944 |
| 8 | 4867 | 944 |
| 9 | 6874 | 944 |
| 10 | 7679 | 944 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) |
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) |
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) |
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(/.f64 (pow.f64 c0 2) l) |
(/.f64 (pow.f64 c0 2) l) |
(/.f64 (pow.f64 c0 2) l) |
(/.f64 (pow.f64 c0 2) l) |
(/.f64 (pow.f64 c0 2) l) |
(/.f64 (pow.f64 c0 2) l) |
(/.f64 (pow.f64 c0 2) l) |
(/.f64 (pow.f64 c0 2) l) |
(/.f64 (pow.f64 c0 2) l) |
(/.f64 (pow.f64 c0 2) l) |
(/.f64 (pow.f64 c0 2) l) |
(/.f64 (pow.f64 c0 2) l) |
(/.f64 (pow.f64 c0 2) l) |
(/.f64 (pow.f64 c0 2) l) |
(/.f64 (pow.f64 c0 2) l) |
(/.f64 (pow.f64 c0 2) l) |
(/.f64 (pow.f64 c0 2) l) |
(/.f64 (pow.f64 c0 2) l) |
(/.f64 (pow.f64 c0 2) l) |
(/.f64 (pow.f64 c0 2) l) |
(/.f64 (pow.f64 c0 2) l) |
(/.f64 (pow.f64 c0 2) l) |
(/.f64 (pow.f64 c0 2) l) |
(/.f64 (pow.f64 c0 2) l) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) |
(neg.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (neg.f64 c0)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) (neg.f64 c0)) |
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) |
(neg.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (neg.f64 c0)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) (neg.f64 c0)) |
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) |
(neg.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (neg.f64 c0)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) (neg.f64 c0)) |
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) |
(neg.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (neg.f64 c0)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) (neg.f64 c0)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l)) |
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l)) |
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)) |
(/.f64 (/.f64 (*.f64 A (*.f64 c0 c0)) V) l) |
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l))) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l)) |
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l)) |
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)) |
(/.f64 (/.f64 (*.f64 A (*.f64 c0 c0)) V) l) |
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l))) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l)) |
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l)) |
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)) |
(/.f64 (/.f64 (*.f64 A (*.f64 c0 c0)) V) l) |
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l))) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l)) |
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l)) |
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)) |
(/.f64 (/.f64 (*.f64 A (*.f64 c0 c0)) V) l) |
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l))) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l)) |
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l)) |
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)) |
(/.f64 (/.f64 (*.f64 A (*.f64 c0 c0)) V) l) |
(*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l))) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l)) |
(/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l)) |
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)) |
(/.f64 (/.f64 (*.f64 A (*.f64 c0 c0)) V) l) |
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(*.f64 c0 (/.f64 c0 l)) |
(/.f64 (pow.f64 c0 2) l) |
(/.f64 (*.f64 c0 c0) l) |
(/.f64 c0 (/.f64 l c0)) |
(*.f64 (/.f64 c0 l) c0) |
(*.f64 c0 (/.f64 c0 l)) |
(/.f64 (pow.f64 c0 2) l) |
(/.f64 (*.f64 c0 c0) l) |
(/.f64 c0 (/.f64 l c0)) |
(*.f64 (/.f64 c0 l) c0) |
(*.f64 c0 (/.f64 c0 l)) |
(/.f64 (pow.f64 c0 2) l) |
(/.f64 (*.f64 c0 c0) l) |
(/.f64 c0 (/.f64 l c0)) |
(*.f64 (/.f64 c0 l) c0) |
(*.f64 c0 (/.f64 c0 l)) |
(/.f64 (pow.f64 c0 2) l) |
(/.f64 (*.f64 c0 c0) l) |
(/.f64 c0 (/.f64 l c0)) |
(*.f64 (/.f64 c0 l) c0) |
(*.f64 c0 (/.f64 c0 l)) |
(/.f64 (pow.f64 c0 2) l) |
(/.f64 (*.f64 c0 c0) l) |
(/.f64 c0 (/.f64 l c0)) |
(*.f64 (/.f64 c0 l) c0) |
(*.f64 c0 (/.f64 c0 l)) |
(/.f64 (pow.f64 c0 2) l) |
(/.f64 (*.f64 c0 c0) l) |
(/.f64 c0 (/.f64 l c0)) |
(*.f64 (/.f64 c0 l) c0) |
(*.f64 c0 (/.f64 c0 l)) |
(/.f64 (pow.f64 c0 2) l) |
(/.f64 (*.f64 c0 c0) l) |
(/.f64 c0 (/.f64 l c0)) |
(*.f64 (/.f64 c0 l) c0) |
(*.f64 c0 (/.f64 c0 l)) |
(/.f64 (pow.f64 c0 2) l) |
(/.f64 (*.f64 c0 c0) l) |
(/.f64 c0 (/.f64 l c0)) |
(*.f64 (/.f64 c0 l) c0) |
(*.f64 c0 (/.f64 c0 l)) |
(/.f64 (pow.f64 c0 2) l) |
(/.f64 (*.f64 c0 c0) l) |
(/.f64 c0 (/.f64 l c0)) |
(*.f64 (/.f64 c0 l) c0) |
(*.f64 c0 (/.f64 c0 l)) |
(/.f64 (pow.f64 c0 2) l) |
(/.f64 (*.f64 c0 c0) l) |
(/.f64 c0 (/.f64 l c0)) |
(*.f64 (/.f64 c0 l) c0) |
(*.f64 c0 (/.f64 c0 l)) |
(/.f64 (pow.f64 c0 2) l) |
(/.f64 (*.f64 c0 c0) l) |
(/.f64 c0 (/.f64 l c0)) |
(*.f64 (/.f64 c0 l) c0) |
(*.f64 c0 (/.f64 c0 l)) |
(/.f64 (pow.f64 c0 2) l) |
(/.f64 (*.f64 c0 c0) l) |
(/.f64 c0 (/.f64 l c0)) |
(*.f64 (/.f64 c0 l) c0) |
(*.f64 c0 (/.f64 c0 l)) |
(/.f64 (pow.f64 c0 2) l) |
(/.f64 (*.f64 c0 c0) l) |
(/.f64 c0 (/.f64 l c0)) |
(*.f64 (/.f64 c0 l) c0) |
(*.f64 c0 (/.f64 c0 l)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V)) |
| ✓ | 0.3b | (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V))) |
| ✓ | 8.3b | (sqrt.f64 (/.f64 A l)) |
Compiled 33 to 9 computations (72.7% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | A | @ | 0 | (sqrt.f64 (/.f64 A l)) |
| 2.0ms | l | @ | -inf | (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V))) |
| 1.0ms | V | @ | -inf | (/.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V)) |
| 1.0ms | A | @ | -inf | (sqrt.f64 (/.f64 A l)) |
| 1.0ms | l | @ | -inf | (sqrt.f64 (/.f64 A l)) |
| 1× | batch-egg-rewrite |
| 575× | log-prod_binary64 |
| 419× | exp-prod_binary64 |
| 376× | pow-prod-down_binary64 |
| 275× | pow2_binary64 |
| 210× | pow-unpow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 27 |
| 1 | 212 | 27 |
| 2 | 2875 | 27 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (/.f64 A l)) |
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V))) |
(/.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 A l)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 A l)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 A l))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 A l))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 A l))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 A l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 A l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A l) 1/6) (cbrt.f64 (/.f64 A l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 A l)) (pow.f64 (/.f64 A l) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A l) 1/4) (pow.f64 (/.f64 A l) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 A) (pow.f64 l -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 l A)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 l) (sqrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 A) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 A)) (neg.f64 (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 A l) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 A l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A l) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A l) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A l) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A l) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 A l)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A l) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 l A) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (/.f64 A l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log.f64 (/.f64 A l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 l A)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 l) (sqrt.f64 A)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 A l)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 A l)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 A l))))) (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 A l)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 A l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 A l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 A l)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 A l) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 A l))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 A l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 A l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 A l)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A l))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (/.f64 A l))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 A l) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 A l) 1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 A l)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 A l)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A l))) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A l) V)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A l) V))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A l) V))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A l) V))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 V) (*.f64 (sqrt.f64 (/.f64 A l)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0)) (neg.f64 (sqrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) 1) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (cbrt.f64 V)) (pow.f64 V 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (pow.f64 V 1/4)) (pow.f64 V 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 A l))) c0) (neg.f64 (sqrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c0 (neg.f64 (sqrt.f64 (/.f64 A l)))) (neg.f64 (sqrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 c0 c0) (/.f64 (/.f64 A l) V)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 V) (*.f64 (sqrt.f64 (/.f64 A l)) c0)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))))) 2)) (cbrt.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))))) (sqrt.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 c0 c0) (/.f64 (/.f64 A l) V)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A l) V))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 (/.f64 A l) V)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 A l) V))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 A l) V))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 A l) V))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A l)) (pow.f64 V -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (/.f64 A l) V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 A l) V) 1/6) (cbrt.f64 (/.f64 (/.f64 A l) V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 A l) V)) (pow.f64 (/.f64 (/.f64 A l) V) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 A l)) (*.f64 (pow.f64 (/.f64 A l) 1/6) (pow.f64 V -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A l) 1/4) (*.f64 (pow.f64 (/.f64 A l) 1/4) (pow.f64 V -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 A l) V) 1/4) (pow.f64 (/.f64 (/.f64 A l) V) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 A l))) (/.f64 1 (neg.f64 (sqrt.f64 V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 V -1/2) (sqrt.f64 (/.f64 A l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 A l)) (cbrt.f64 V)) (pow.f64 (/.f64 (/.f64 A l) V) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 A l)) 1) (/.f64 (pow.f64 (/.f64 A l) 1/6) (sqrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 A l) 1/4) 1) (/.f64 (pow.f64 (/.f64 A l) 1/4) (sqrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 V)) (/.f64 (sqrt.f64 (/.f64 A l)) (pow.f64 V 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 A l) 1/4) (cbrt.f64 V)) (/.f64 (pow.f64 (/.f64 A l) 1/4) (pow.f64 V 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 V -1/4) (/.f64 (sqrt.f64 (/.f64 A l)) (pow.f64 V 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 A l)) (pow.f64 V 1/4)) (/.f64 (pow.f64 (/.f64 A l) 1/6) (pow.f64 V 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A l) V) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A l) V) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A l) V) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 A l) V) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (/.f64 (/.f64 A l) V))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 A l) 3/2) (pow.f64 V 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A l) V))))) (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 (/.f64 A l)) (neg.f64 (sqrt.f64 V))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (/.f64 A l) V))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 A l) V))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 A l) V) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 A l) 3/2) (pow.f64 V 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (/.f64 A l) V))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (/.f64 A l) V))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A l) V))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A l) V))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 A l) V) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 A l) V) 1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 A l) V)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 V (/.f64 A l)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A l) V))) 1) 1)))))) |
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
| 2× | associate-/r*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 144 |
| 1 | 13 | 144 |
| 2 | 15 | 144 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 (neg.f64 V) l)))) |
| ✓ | 0.2b | (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 (neg.f64 V) l))) |
| ✓ | 5.5b | (sqrt.f64 (*.f64 (neg.f64 V) l)) |
Compiled 44 to 11 computations (75% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | V | @ | inf | (sqrt.f64 (*.f64 (neg.f64 V) l)) |
| 1.0ms | A | @ | -inf | (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 (neg.f64 V) l)))) |
| 1.0ms | A | @ | -inf | (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 (neg.f64 V) l))) |
| 1.0ms | V | @ | 0 | (sqrt.f64 (*.f64 (neg.f64 V) l)) |
| 1.0ms | V | @ | -inf | (sqrt.f64 (*.f64 (neg.f64 V) l)) |
| 1× | batch-egg-rewrite |
| 600× | log-prod_binary64 |
| 374× | pow-prod-down_binary64 |
| 280× | pow-unpow_binary64 |
| 268× | pow2_binary64 |
| 191× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 37 |
| 1 | 252 | 27 |
| 2 | 3424 | 27 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 (neg.f64 V) l)) |
(/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 (neg.f64 V) l))) |
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 (neg.f64 V) l)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 V l)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 V l))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 V l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 V l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 V l)) (pow.f64 (*.f64 V l) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 V l) 1/6) (cbrt.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 V l) 1/4) (pow.f64 (*.f64 V l) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 V) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 l) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 V l) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 V l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V l) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V l) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V l) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 V l)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V l) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V l) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 V l) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 V l)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 V l))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 V l))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 V l) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 V l))) 2)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 A) (pow.f64 (*.f64 V l) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 A) (*.f64 (pow.f64 A 1/6) (pow.f64 (*.f64 V l) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/6) (cbrt.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 A (*.f64 V l))) (pow.f64 (/.f64 A (*.f64 V l)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 A 1/4) (*.f64 (pow.f64 A 1/4) (pow.f64 (*.f64 V l) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/4) (pow.f64 (/.f64 A (*.f64 V l)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 A)) (/.f64 1 (neg.f64 (sqrt.f64 (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 V l) -1/2) (sqrt.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 A) 1) (/.f64 (pow.f64 A 1/6) (sqrt.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 A 1/4) 1) (/.f64 (pow.f64 A 1/4) (sqrt.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 V l))) (/.f64 (sqrt.f64 A) (pow.f64 (*.f64 V l) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 (*.f64 V l))) (pow.f64 (/.f64 A (*.f64 V l)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 A 1/4) (cbrt.f64 (*.f64 V l))) (/.f64 (pow.f64 A 1/4) (pow.f64 (*.f64 V l) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 V l) -1/4) (/.f64 (sqrt.f64 A) (pow.f64 (*.f64 V l) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 A) (pow.f64 (*.f64 V l) 1/4)) (/.f64 (pow.f64 A 1/6) (pow.f64 (*.f64 V l) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 V -1/2) (/.f64 (sqrt.f64 A) (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 A) (sqrt.f64 V)) (/.f64 (pow.f64 A 1/6) (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 A 1/4) (sqrt.f64 V)) (/.f64 (pow.f64 A 1/4) (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 A (*.f64 V l)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 A 3/2) (pow.f64 (*.f64 V l) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 A) (neg.f64 (sqrt.f64 (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 A (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 A 3/2) (pow.f64 (*.f64 V l) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 V l) A))) -1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (*.f64 V l)) (*.f64 (sqrt.f64 A) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sqrt.f64 A) c0)) (neg.f64 (sqrt.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 A) c0) 1) (sqrt.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 A) c0) (cbrt.f64 (*.f64 V l))) (pow.f64 (*.f64 V l) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 A) c0) (pow.f64 (*.f64 V l) 1/4)) (pow.f64 (*.f64 V l) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 V)) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 A)) c0) (neg.f64 (sqrt.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c0 (neg.f64 (sqrt.f64 A))) (neg.f64 (sqrt.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 c0 c0) (/.f64 A (*.f64 V l))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 V l)) (*.f64 (sqrt.f64 A) c0)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 c0 c0) (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 2)))))) |
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
| 2× | associate-/r*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 144 |
| 1 | 13 | 144 |
| 2 | 15 | 144 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
Compiled 9559 to 3499 computations (63.4% saved)
24 alts after pruning (14 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 725 | 5 | 730 |
| Fresh | 4 | 9 | 13 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 9 | 10 |
| Total | 730 | 24 | 754 |
| Status | Error | Program |
|---|---|---|
| ✓ | 45.4b | (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 V)) (/.f64 c0 (sqrt.f64 l))) |
| 16.7b | (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l))) | |
| 35.0b | (/.f64 (*.f64 (sqrt.f64 A) c0) (pow.f64 (pow.f64 (*.f64 V l) 1/4) 2)) | |
| ✓ | 35.0b | (/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l))) |
| 43.4b | (sqrt.f64 (/.f64 (*.f64 c0 A) (*.f64 (/.f64 l c0) V))) | |
| ✓ | 16.4b | (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) |
| ✓ | 46.7b | (sqrt.f64 (*.f64 (/.f64 (*.f64 c0 c0) l) (/.f64 A V))) |
| ✓ | 47.1b | (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V))) |
| ✓ | 37.6b | (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 (neg.f64 V) l)))) |
| 14.4b | (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))) | |
| 43.8b | (sqrt.f64 (*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))) | |
| 15.8b | (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) | |
| 34.7b | (*.f64 c0 (*.f64 (pow.f64 l -1/2) (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))))) | |
| 23.8b | (/.f64 (sqrt.f64 (/.f64 A V)) (/.f64 (sqrt.f64 l) c0)) | |
| ✓ | 15.9b | (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) |
| ✓ | 14.5b | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 45.4b | (*.f64 (*.f64 (pow.f64 A 1/4) (*.f64 (pow.f64 A 1/4) (pow.f64 V -1/2))) (/.f64 c0 (sqrt.f64 l))) | |
| 27.2b | (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))) | |
| ✓ | 14.5b | (*.f64 c0 (sqrt.f64 (/.f64 A (/.f64 V (/.f64 1 l))))) |
| 34.9b | (*.f64 (pow.f64 (*.f64 V l) -1/2) (*.f64 (sqrt.f64 A) c0)) | |
| ✓ | 22.5b | (*.f64 c0 (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V)))) |
| 24.0b | (/.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 V A))) | |
| 16.6b | (*.f64 c0 (pow.f64 (*.f64 (/.f64 V A) l) -1/2)) | |
| 52.0b | (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l)))) |
Compiled 333 to 233 computations (30% saved)
| Inputs |
|---|
(*.f64 (*.f64 (pow.f64 A 1/4) (*.f64 (pow.f64 A 1/4) (pow.f64 V -1/2))) (/.f64 c0 (sqrt.f64 l))) |
(*.f64 c0 (sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 A) 2) (*.f64 (cbrt.f64 A) (/.f64 1 (*.f64 V l)))))) |
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 A) 2) l) (/.f64 (cbrt.f64 A) V)))) |
(log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l)))) |
(*.f64 c0 (pow.f64 (*.f64 (/.f64 (cbrt.f64 (*.f64 A A)) l) (/.f64 (cbrt.f64 A) V)) 1/2)) |
(*.f64 c0 (*.f64 (pow.f64 l -1/2) (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))))) |
(/.f64 (*.f64 (sqrt.f64 A) c0) (pow.f64 (pow.f64 (*.f64 V l) 1/4) 2)) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 l (/.f64 V A)) -1/2) c0)) 3) |
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) 3)) |
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 2) |
(*.f64 c0 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) 3)) |
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 3) |
(*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 V)) (/.f64 c0 (sqrt.f64 l))) |
(/.f64 (*.f64 (sqrt.f64 A) c0) (*.f64 (sqrt.f64 l) (sqrt.f64 V))) |
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))) |
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 (neg.f64 V) l)))) |
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l)))) |
(*.f64 c0 (pow.f64 (pow.f64 (/.f64 (/.f64 A l) V) 1/4) 2)) |
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l)))) |
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))) |
(*.f64 c0 (pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4) 2)) |
(*.f64 (pow.f64 (*.f64 V l) -1/2) (*.f64 (sqrt.f64 A) c0)) |
(*.f64 c0 (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V)))) |
(/.f64 (sqrt.f64 (/.f64 A V)) (/.f64 (sqrt.f64 l) c0)) |
(/.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 V A))) |
(*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))) c0) |
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V))) |
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) |
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) |
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l))) |
(sqrt.f64 (/.f64 (*.f64 c0 A) (*.f64 (/.f64 l c0) V))) |
(sqrt.f64 (*.f64 A (*.f64 (/.f64 c0 V) (/.f64 c0 l)))) |
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A))) |
(sqrt.f64 (*.f64 (/.f64 (*.f64 c0 c0) l) (/.f64 A V))) |
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 V (/.f64 l A))))) |
(*.f64 c0 (sqrt.f64 (/.f64 A (/.f64 V (/.f64 1 l))))) |
(sqrt.f64 (/.f64 (*.f64 A (*.f64 c0 c0)) (*.f64 V l))) |
(*.f64 c0 (sqrt.f64 (/.f64 1 (*.f64 (/.f64 V A) l)))) |
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V))))) |
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))) |
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l)))) |
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A))) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0))) |
(*.f64 c0 (pow.f64 (*.f64 V (/.f64 l A)) -1/2)) |
(*.f64 c0 (pow.f64 (*.f64 (/.f64 V A) l) -1/2)) |
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2)) |
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))) |
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) |
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| Outputs |
|---|
(*.f64 c0 (*.f64 (pow.f64 l -1/2) (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))))) |
(*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))) c0) |
(*.f64 c0 (pow.f64 (*.f64 V (/.f64 l A)) -1/2)) |
11 calls:
| 170.0ms | (*.f64 V l) |
| 115.0ms | (*.f64 V l) |
| 111.0ms | V |
| 106.0ms | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 105.0ms | c0 |
| Error | Segments | Branch |
|---|---|---|
| 13.2b | 2 | c0 |
| 5.2b | 2 | A |
| 7.4b | 4 | V |
| 8.3b | 4 | l |
| 8.4b | 4 | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 7.0b | 3 | (sqrt.f64 (/.f64 A (*.f64 V l))) |
| 7.0b | 3 | (sqrt.f64 (/.f64 A (*.f64 V l))) |
| 7.0b | 3 | (/.f64 A (*.f64 V l)) |
| 7.0b | 3 | (/.f64 A (*.f64 V l)) |
| 3.9b | 3 | (*.f64 V l) |
| 3.9b | 3 | (*.f64 V l) |
Compiled 625 to 286 computations (54.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.799327691168548e+277 | 6.58896262535821e+277 |
| 0.0ms | -0.0 | 2.0366252e-316 |
Compiled 19 to 14 computations (26.3% saved)
Total -15.8b remaining (-152.6%)
Threshold costs -15.8b (-152.6%)
| Inputs |
|---|
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))) |
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) |
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 V A) l))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| Outputs |
|---|
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) |
9 calls:
| 34.0ms | (sqrt.f64 (/.f64 A (*.f64 V l))) |
| 27.0ms | c0 |
| 21.0ms | (*.f64 V l) |
| 19.0ms | (*.f64 V l) |
| 14.0ms | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| Error | Segments | Branch |
|---|---|---|
| 13.4b | 2 | c0 |
| 13.1b | 3 | A |
| 13.2b | 2 | V |
| 14.4b | 1 | l |
| 10.6b | 4 | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 10.4b | 3 | (sqrt.f64 (/.f64 A (*.f64 V l))) |
| 10.4b | 3 | (/.f64 A (*.f64 V l)) |
| 11.1b | 4 | (*.f64 V l) |
| 11.1b | 4 | (*.f64 V l) |
Compiled 117 to 73 computations (37.6% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.767933796123103e+287 | 1.2846791640145984e+290 |
| 0.0ms | 1e-323 | 1.450879982588e-311 |
Compiled 19 to 14 computations (26.3% saved)
| 1× | egg-herbie |
| 10× | *-commutative_binary64 |
| 2× | +-commutative_binary64 |
| 2× | sub-neg_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 126 |
| 1 | 60 | 126 |
| 2 | 64 | 126 |
| 3 | 66 | 126 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (*.f64 V l) 0) (*.f64 c0 (*.f64 (pow.f64 l -1/2) (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))))) (if (<=.f64 (*.f64 V l) 49999999999999998175343433979589279157951137391496288266157242743110873150620102906337171435410246399918892469000602018887594876771980109395971573896894072660533262290309118329484316681379045013850167655746877489167183814937869568749188006828844715705934104413037475872242663424) (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))) c0) (*.f64 c0 (pow.f64 (*.f64 V (/.f64 l A)) -1/2)))) |
(if (<=.f64 (/.f64 A (*.f64 V l)) 32768/3316158518186977171087283760642741158699936149735704467159471849921418683482035763477878926564345847729145083728966646356210626353328840324989147544629059746554141479347263264595425816446455256534872353644097455203319930608430165174159005378955830171087831965898486080345430665055936553487340789901656166618033483630075818541056) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 (/.f64 A (*.f64 V l)) 500000000000000003815236769787517830257389167755855375390043332219984755318247477305565774567919593256991727777697610447843930272404792499914862630297436635543699813243303073221275494420008458697313224768197604310133506389038893861697957032303559981034741662286988928916069412641477492736) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))))) |
| Outputs |
|---|
(if (<=.f64 (*.f64 V l) 0) (*.f64 c0 (*.f64 (pow.f64 l -1/2) (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))))) (if (<=.f64 (*.f64 V l) 49999999999999998175343433979589279157951137391496288266157242743110873150620102906337171435410246399918892469000602018887594876771980109395971573896894072660533262290309118329484316681379045013850167655746877489167183814937869568749188006828844715705934104413037475872242663424) (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))) c0) (*.f64 c0 (pow.f64 (*.f64 V (/.f64 l A)) -1/2)))) |
(if (<=.f64 (*.f64 V l) 0) (*.f64 c0 (*.f64 (pow.f64 l -1/2) (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))))) (if (<=.f64 (*.f64 V l) 49999999999999998175343433979589279157951137391496288266157242743110873150620102906337171435410246399918892469000602018887594876771980109395971573896894072660533262290309118329484316681379045013850167655746877489167183814937869568749188006828844715705934104413037475872242663424) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) (*.f64 c0 (pow.f64 (*.f64 V (/.f64 l A)) -1/2)))) |
(if (<=.f64 (/.f64 A (*.f64 V l)) 32768/3316158518186977171087283760642741158699936149735704467159471849921418683482035763477878926564345847729145083728966646356210626353328840324989147544629059746554141479347263264595425816446455256534872353644097455203319930608430165174159005378955830171087831965898486080345430665055936553487340789901656166618033483630075818541056) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 (/.f64 A (*.f64 V l)) 500000000000000003815236769787517830257389167755855375390043332219984755318247477305565774567919593256991727777697610447843930272404792499914862630297436635543699813243303073221275494420008458697313224768197604310133506389038893861697957032303559981034741662286988928916069412641477492736) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))))) |
(if (<=.f64 (/.f64 A (*.f64 V l)) 1/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 (/.f64 A (*.f64 V l)) 500000000000000003815236769787517830257389167755855375390043332219984755318247477305565774567919593256991727777697610447843930272404792499914862630297436635543699813243303073221275494420008458697313224768197604310133506389038893861697957032303559981034741662286988928916069412641477492736) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))))) |
Compiled 91 to 51 computations (44% saved)
Compiled 181 to 104 computations (42.5% saved)
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