Time bar (total: 20.0s)
| 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)
| 2.1s | 8256× | body | 256 | valid |
| 1.7s | 8459× | 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 |
|---|---|---|
| ▶ | 16.9b | (*.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 |
|---|---|---|
| ✓ | 0.5b | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| ✓ | 4.3b | (/.f64 A (*.f64 V l)) |
| ✓ | 15.7b | (sqrt.f64 (/.f64 A (*.f64 V l))) |
Compiled 30 to 8 computations (73.3% saved)
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | c0 | @ | inf | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 2.0ms | A | @ | -inf | (/.f64 A (*.f64 V l)) |
| 1.0ms | A | @ | 0 | (sqrt.f64 (/.f64 A (*.f64 V l))) |
| 1.0ms | V | @ | -inf | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 1.0ms | A | @ | inf | (/.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)
18 alts after pruning (17 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 74 | 17 | 91 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 74 | 18 | 92 |
| Status | Error | Program |
|---|---|---|
| ✓ | 16.9b | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 37.1b | (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) | |
| 17.4b | (*.f64 c0 (sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 A) 2) (*.f64 (cbrt.f64 A) (/.f64 1 (*.f64 V l)))))) | |
| ▶ | 18.9b | (*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V))))) |
| 47.2b | (sqrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0))) | |
| 17.4b | (*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))) | |
| 19.1b | (*.f64 c0 (pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4) 2)) | |
| ▶ | 18.9b | (*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2)) |
| ▶ | 19.2b | (*.f64 c0 (sqrt.f64 (pow.f64 (/.f64 l (/.f64 A V)) -1))) |
| 35.1b | (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))) | |
| ▶ | 42.2b | (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) 3)) |
| 54.1b | (log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l)))) | |
| 39.1b | (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 2) | |
| 18.9b | (*.f64 c0 (sqrt.f64 (*.f64 (/.f64 A V) (/.f64 1 l)))) | |
| ▶ | 17.0b | (*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A))) |
| 38.6b | (/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l))) | |
| 37.3b | (*.f64 c0 (*.f64 (sqrt.f64 A) (sqrt.f64 (/.f64 1 (*.f64 V l))))) | |
| 26.1b | (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) |
Compiled 502 to 356 computations (29.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.5b | (*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A))) |
| ✓ | 0.6b | (/.f64 1 (*.f64 V l)) |
| ✓ | 3.8b | (*.f64 (/.f64 1 (*.f64 V l)) A) |
| ✓ | 15.7b | (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A)) |
Compiled 42 to 20 computations (52.4% saved)
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | A | @ | inf | (*.f64 (/.f64 1 (*.f64 V l)) A) |
| 1.0ms | l | @ | 0 | (/.f64 1 (*.f64 V l)) |
| 1.0ms | V | @ | inf | (*.f64 (/.f64 1 (*.f64 V l)) A) |
| 0.0ms | V | @ | -inf | (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A)) |
| 0.0ms | V | @ | 0 | (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A)) |
| 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 1 (*.f64 V l)) |
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A))) |
| 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)))) 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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 (/.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))))))) |
((#(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))))))) |
| 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 |
|---|---|---|
| ✓ | 0.5b | (*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2)) |
| ✓ | 6.1b | (/.f64 (/.f64 A V) l) |
| ✓ | 15.7b | (pow.f64 (/.f64 (/.f64 A V) l) 1/2) |
Compiled 33 to 12 computations (63.6% saved)
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | A | @ | 0 | (*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2)) |
| 2.0ms | 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 | V | @ | -inf | (pow.f64 (/.f64 (/.f64 A V) l) 1/2) |
| 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)) 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(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 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V)))) |
| ✓ | 0.5b | (*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V))))) |
| ✓ | 6.1b | (/.f64 l (/.f64 A V)) |
| ✓ | 15.8b | (sqrt.f64 (/.f64 l (/.f64 A V))) |
Compiled 41 to 13 computations (68.3% saved)
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 54.0ms | l | @ | inf | (sqrt.f64 (/.f64 l (/.f64 A V))) |
| 7.0ms | V | @ | 0 | (sqrt.f64 (/.f64 l (/.f64 A V))) |
| 3.0ms | V | @ | -inf | (sqrt.f64 (/.f64 l (/.f64 A V))) |
| 2.0ms | l | @ | -inf | (*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V))))) |
| 2.0ms | l | @ | 0 | (sqrt.f64 (/.f64 l (/.f64 A V))) |
| 1× | batch-egg-rewrite |
| 619× | log-prod_binary64 |
| 364× | pow-prod-down_binary64 |
| 289× | pow2_binary64 |
| 226× | pow-unpow_binary64 |
| 205× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 40 |
| 1 | 233 | 37 |
| 2 | 3149 | 37 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (/.f64 l (/.f64 A V))) |
(/.f64 l (/.f64 A V)) |
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V))))) |
(/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 V (/.f64 l A))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 V (/.f64 l A))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 V (/.f64 l A)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 V (/.f64 l A)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 V (/.f64 l A)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 V (/.f64 l A))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 V (/.f64 l A))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 V (/.f64 l A))) (pow.f64 (*.f64 V (/.f64 l A)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 V (/.f64 l A)) 1/6) (cbrt.f64 (*.f64 V (/.f64 l A))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 V A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 V (/.f64 l A)) 1/4) (pow.f64 (*.f64 V (/.f64 l A)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 l A)) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) 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 1 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 V (/.f64 l A))) (pow.f64 (*.f64 V (/.f64 l A)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 A V)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 V (/.f64 l A)) 1/4) (pow.f64 (*.f64 V (/.f64 l A)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (*.f64 V (/.f64 l A)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (/.f64 (neg.f64 A) V)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 l)) (neg.f64 (sqrt.f64 (/.f64 A V))))))) (#(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 (sqrt.f64 (*.f64 V (/.f64 l A))) 1)))) (#(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 V (/.f64 l A)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V (/.f64 l A)) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V (/.f64 l A)) -3/2) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V (/.f64 l A)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 V (/.f64 l A))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V (/.f64 l A)) -1/6) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V (/.f64 l A)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V (/.f64 l A)) -1/4) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V (/.f64 l A)) 1/4) 2)))) (#(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 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 V (/.f64 l A))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 V (/.f64 l A)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 V (/.f64 l A))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 V (/.f64 l A)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 V (/.f64 l A)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 V (/.f64 l A)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 V (/.f64 l A)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 V (/.f64 l A))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 V (/.f64 l A)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 V (/.f64 l A)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 V (/.f64 l A)) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 V (/.f64 l A)) 1/4)) 2)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 V (/.f64 l A)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 l A)) V)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 l A)) V))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 l A)) V))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 l A)) V))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 V (/.f64 l A)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 l (/.f64 V A))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 V (/.f64 l A))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 V (/.f64 l A)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) (sqrt.f64 (*.f64 V (/.f64 l A))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 V (/.f64 l A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 (cbrt.f64 l) (/.f64 V 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 l (neg.f64 A)) (neg.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 V (/.f64 l A)) 3/4) (pow.f64 (*.f64 V (/.f64 l A)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 V (/.f64 l A)) 5/6) (pow.f64 (*.f64 V (/.f64 l A)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 l A) 1) V)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 l A) (pow.f64 (cbrt.f64 V) 2)) (cbrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 l A) (sqrt.f64 V)) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 V (/.f64 l A)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) 2)))) (#(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 V (/.f64 l A)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V (/.f64 l A)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V (/.f64 l A)) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 V (/.f64 l A))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V (/.f64 l A)) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V (/.f64 l A)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 A (*.f64 l V)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 l 3) (pow.f64 (/.f64 A V) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 A (*.f64 l V)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 l (/.f64 (neg.f64 A) V)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 V (/.f64 l A)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 l A)) V))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 V (/.f64 l A)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 V (/.f64 l A)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 l 3) (pow.f64 (/.f64 A V) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 V (/.f64 l A))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 V (/.f64 l A))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 V (/.f64 l A))))))) (#(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 (log.f64 (sqrt.f64 (*.f64 V (/.f64 l A)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 V (/.f64 l A)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 V (/.f64 l A)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 V (/.f64 l A)))) 3))))) (#(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 +.f64 0 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))))))) (#(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 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 c0) 2) (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) (cbrt.f64 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 c0) (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) (sqrt.f64 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 c0) (neg.f64 (sqrt.f64 (*.f64 V (/.f64 l A)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c0 (pow.f64 (*.f64 V (/.f64 l A)) 1/4)) (pow.f64 (*.f64 V (/.f64 l A)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c0 1) (sqrt.f64 (*.f64 V (/.f64 l A))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c0 (cbrt.f64 (*.f64 V (/.f64 l A)))) (pow.f64 (*.f64 V (/.f64 l A)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 c0) (neg.f64 (sqrt.f64 (*.f64 V (/.f64 l A)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c0 -1) (neg.f64 (sqrt.f64 (*.f64 V (/.f64 l A)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 c0 c0) (*.f64 V (/.f64 l A))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 c0 3) (pow.f64 (*.f64 V (/.f64 l A)) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 c0 c0) (*.f64 V (/.f64 l A))))))) (#(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 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 c0 3) (pow.f64 (*.f64 V (/.f64 l A)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))))) 2)))))) |
((#(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 1 (sqrt.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 V (/.f64 l A)) -1/6) (cbrt.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 A (*.f64 l V))) (pow.f64 (*.f64 V (/.f64 l A)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 V (/.f64 l A)) -1/4) (pow.f64 (*.f64 V (/.f64 l A)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (*.f64 V (/.f64 l A))))))))) (#(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 (/.f64 1 (cbrt.f64 (*.f64 V (/.f64 l A)))) (pow.f64 (*.f64 V (/.f64 l A)) -1/6))))) (#(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 (sqrt.f64 (*.f64 V (/.f64 l A))) -1)))) (#(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 V (/.f64 l A)) 2) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V (/.f64 l A)) 3) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V (/.f64 l A)) -3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V (/.f64 l A)) 3/2) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 V (/.f64 l A))) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V (/.f64 l A)) -1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V (/.f64 l A)) 1/6) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V (/.f64 l A)) -1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V (/.f64 l A)) 1/4) -2)))) (#(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 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 V (/.f64 l A))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x 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 V (/.f64 l A)) -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 (sqrt.f64 (*.f64 V (/.f64 l A)))) -1))))) (#(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 (log.f64 (*.f64 V (/.f64 l A))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 V (/.f64 l A)) -3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 V (/.f64 l A)) -1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 V (/.f64 l A)) -1/4)) 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 | 396 |
| 1 | 16 | 396 |
| 2 | 20 | 396 |
| 3 | 23 | 396 |
| 4 | 24 | 396 |
| 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) |
| 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) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (pow.f64 (/.f64 l (/.f64 A V)) -1) |
| ✓ | 0.5b | (*.f64 c0 (sqrt.f64 (pow.f64 (/.f64 l (/.f64 A V)) -1))) |
| 6.1b | (/.f64 l (/.f64 A V)) | |
| ✓ | 15.7b | (sqrt.f64 (pow.f64 (/.f64 l (/.f64 A V)) -1)) |
Compiled 42 to 16 computations (61.9% saved)
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | l | @ | -inf | (pow.f64 (/.f64 l (/.f64 A V)) -1) |
| 1.0ms | l | @ | 0 | (pow.f64 (/.f64 l (/.f64 A V)) -1) |
| 1.0ms | l | @ | 0 | (sqrt.f64 (pow.f64 (/.f64 l (/.f64 A V)) -1)) |
| 1.0ms | l | @ | -inf | (sqrt.f64 (pow.f64 (/.f64 l (/.f64 A V)) -1)) |
| 1.0ms | A | @ | -inf | (pow.f64 (/.f64 l (/.f64 A V)) -1) |
| 1× | batch-egg-rewrite |
| 608× | log-prod_binary64 |
| 350× | pow-prod-down_binary64 |
| 294× | pow2_binary64 |
| 244× | pow-unpow_binary64 |
| 208× | pow-to-exp_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 33 |
| 1 | 231 | 28 |
| 2 | 3053 | 28 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (pow.f64 (/.f64 l (/.f64 A V)) -1)) |
(*.f64 c0 (sqrt.f64 (pow.f64 (/.f64 l (/.f64 A V)) -1))) |
(pow.f64 (/.f64 l (/.f64 A V)) -1) |
| Outputs |
|---|
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((#(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 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 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)))))) |
((#(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 (/.f64 A V) (/.f64 1 l))))) (#(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))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 l V) A) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 l V) A) -2)) (cbrt.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 l V) A) -1/4) (pow.f64 (/.f64 (*.f64 l V) A) -3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 l V) A) -3/4) (pow.f64 (/.f64 (*.f64 l V) A) -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 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 (pow.f64 (cbrt.f64 l) 2)) (/.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) (pow.f64 (cbrt.f64 l) 2)) (/.f64 (cbrt.f64 (/.f64 A V)) (cbrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 (cbrt.f64 l) 2)) (/.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 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 l) (/.f64 A V))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 l)) (/.f64 (neg.f64 A) V))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 l V) A)) -2) (cbrt.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 l A)) (/.f64 1 V))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 l V)) 5/6) (pow.f64 (/.f64 (*.f64 l V) A) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 A (/.f64 l (/.f64 1 V)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 A (*.f64 l V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 A V) l)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (*.f64 l V) A)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) (sqrt.f64 (/.f64 (*.f64 l V) A)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 l V) A))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (*.f64 l V) A) 1))))) (#(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 (neg.f64 A) (*.f64 l (neg.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 A) V) (neg.f64 l))))) (#(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 1 l) (/.f64 V A))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 l V) A)) -2) (cbrt.f64 (/.f64 (*.f64 l V) A)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (/.f64 l A)) V)))) (#(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 sqrt.f64 (pow.f64 (/.f64 (*.f64 l V) A) -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 (*.f64 l V) A) -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 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 (pow.f64 (/.f64 (*.f64 l V) A) 2)) -1/2))))) (#(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 (*.f64 (log.f64 (/.f64 (*.f64 l V) A)) 1) -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 (*.f64 l V) A)) -1/2) 2))))) (#(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)))))) |
| 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 (sqrt.f64 (/.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 (sqrt.f64 (/.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)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.5b | (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
| 6.1b | (/.f64 (/.f64 A V) l) | |
| ✓ | 15.7b | (sqrt.f64 (/.f64 (/.f64 A V) l)) |
| ✓ | 33.1b | (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) 3)) |
Compiled 52 to 14 computations (73.1% saved)
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | c0 | @ | -inf | (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) 3)) |
| 3.0ms | c0 | @ | 0 | (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
| 1.0ms | l | @ | -inf | (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) 3)) |
| 1.0ms | A | @ | 0 | (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) 3)) |
| 1.0ms | V | @ | -inf | (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) 3)) |
| 1× | batch-egg-rewrite |
| 621× | log-prod_binary64 |
| 427× | pow-prod-down_binary64 |
| 301× | pow2_binary64 |
| 247× | pow-unpow_binary64 |
| 213× | pow-to-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 33 |
| 1 | 262 | 33 |
| 2 | 3239 | 33 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) 3)) |
(sqrt.f64 (/.f64 (/.f64 A V) l)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
| Outputs |
|---|
((#(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 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 c0) 2) (*.f64 (cbrt.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) (cbrt.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))) (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 A (*.f64 V l))) (*.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/6) c0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c0) (pow.f64 (*.f64 c0 (/.f64 A (*.f64 V l))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) (sqrt.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)) 1/4) (*.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/4) c0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (pow.f64 (cbrt.f64 c0) 2)) (cbrt.f64 c0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 A (*.f64 V l)) c0) 1/2) (sqrt.f64 c0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c0 (cbrt.f64 (/.f64 A (*.f64 V l)))) (pow.f64 (/.f64 A (*.f64 V l)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c0 (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 (*.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 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 9) 1/9)))) (#(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 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))) 3/2)))) (#(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) 3/2) 2/3)))) (#(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 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 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 3)) 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 (log.f64 (cbrt.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)))) 3/2)))))) |
((#(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 (/.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 (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 (pow.f64 (/.f64 A (*.f64 V l)) 3/2) 1/3)))) (#(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 (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 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 (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 3/2 (log.f64 (/.f64 A (*.f64 V l)))) 1/3)))))) |
((#(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 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 9) 1/9)))) (#(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 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))) 3/2)))) (#(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) 3/2) 2/3)))) (#(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 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 3)) 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 (log.f64 (cbrt.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)))) 3/2)))))) |
| 1× | egg-herbie |
| 244× | fma-def_binary64 |
| 21× | associate-*l*_binary64 |
| 21× | sub-neg_binary64 |
| 20× | distribute-rgt-in_binary64 |
| 18× | distribute-lft-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 316 |
| 1 | 26 | 316 |
| 2 | 58 | 316 |
| 3 | 105 | 316 |
| 4 | 120 | 316 |
| 5 | 168 | 316 |
| 6 | 240 | 316 |
| 7 | 277 | 316 |
| 8 | 319 | 316 |
| 9 | 488 | 316 |
| 10 | 516 | 316 |
| 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 -1 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (*.f64 (cbrt.f64 -1) c0))) |
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (*.f64 (cbrt.f64 -1) c0))) |
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (*.f64 (cbrt.f64 -1) c0))) |
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (*.f64 (cbrt.f64 -1) 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 A (*.f64 V 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 -1 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (*.f64 (cbrt.f64 -1) c0))) |
(neg.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) (*.f64 c0 (cbrt.f64 -1)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (cbrt.f64 -1)) (neg.f64 c0)) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (*.f64 (cbrt.f64 -1) (neg.f64 c0))) |
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (*.f64 (cbrt.f64 -1) c0))) |
(neg.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) (*.f64 c0 (cbrt.f64 -1)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (cbrt.f64 -1)) (neg.f64 c0)) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (*.f64 (cbrt.f64 -1) (neg.f64 c0))) |
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (*.f64 (cbrt.f64 -1) c0))) |
(neg.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) (*.f64 c0 (cbrt.f64 -1)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (cbrt.f64 -1)) (neg.f64 c0)) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (*.f64 (cbrt.f64 -1) (neg.f64 c0))) |
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (*.f64 (cbrt.f64 -1) c0))) |
(neg.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) (*.f64 c0 (cbrt.f64 -1)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (cbrt.f64 -1)) (neg.f64 c0)) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (*.f64 (cbrt.f64 -1) (neg.f64 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 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
Compiled 11412 to 4550 computations (60.1% saved)
22 alts after pruning (18 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 816 | 15 | 831 |
| Fresh | 9 | 3 | 12 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 4 | 5 |
| Total | 827 | 22 | 849 |
| Status | Error | Program |
|---|---|---|
| ✓ | 16.9b | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 37.1b | (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) | |
| ▶ | 16.7b | (*.f64 c0 (pow.f64 (/.f64 (*.f64 l V) A) -1/2)) |
| ▶ | 46.5b | (sqrt.f64 (/.f64 (*.f64 c0 c0) (*.f64 V (/.f64 l A)))) |
| 17.4b | (/.f64 1 (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0)) | |
| 54.1b | (log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l)))) | |
| 17.0b | (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))) | |
| 18.9b | (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) | |
| 37.1b | (*.f64 c0 (*.f64 (pow.f64 (*.f64 V l) -1/2) (sqrt.f64 A))) | |
| 18.8b | (*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 V A) l)))) | |
| 39.1b | (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 2) | |
| 17.0b | (*.f64 c0 (pow.f64 (*.f64 V (/.f64 l A)) -1/2)) | |
| ✓ | 17.0b | (*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A))) |
| 51.5b | (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l)))) | |
| 35.1b | (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))) | |
| ✓ | 18.9b | (*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V))))) |
| 28.2b | (/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l)) | |
| ▶ | 51.2b | (*.f64 c0 (/.f64 1 (*.f64 (sqrt.f64 (/.f64 l A)) (sqrt.f64 V)))) |
| ✓ | 19.2b | (*.f64 c0 (sqrt.f64 (pow.f64 (/.f64 l (/.f64 A V)) -1))) |
| 38.6b | (/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l))) | |
| ▶ | 17.4b | (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) |
| ▶ | 26.1b | (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) |
Compiled 542 to 380 computations (29.9% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.5b | (*.f64 c0 (pow.f64 (/.f64 (*.f64 l V) A) -1/2)) |
| ✓ | 4.3b | (/.f64 (*.f64 l V) A) |
| ✓ | 15.8b | (pow.f64 (/.f64 (*.f64 l V) A) -1/2) |
Compiled 33 to 12 computations (63.6% saved)
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 108.0ms | l | @ | 0 | (pow.f64 (/.f64 (*.f64 l V) A) -1/2) |
| 46.0ms | V | @ | inf | (pow.f64 (/.f64 (*.f64 l V) A) -1/2) |
| 45.0ms | V | @ | -inf | (pow.f64 (/.f64 (*.f64 l V) A) -1/2) |
| 27.0ms | l | @ | -inf | (pow.f64 (/.f64 (*.f64 l V) A) -1/2) |
| 26.0ms | A | @ | -inf | (pow.f64 (/.f64 (*.f64 l V) A) -1/2) |
| 1× | batch-egg-rewrite |
| 552× | log-prod_binary64 |
| 424× | exp-prod_binary64 |
| 331× | pow-prod-down_binary64 |
| 276× | pow2_binary64 |
| 194× | pow1/3_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 30 |
| 1 | 211 | 30 |
| 2 | 2701 | 28 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (/.f64 (*.f64 l V) A) -1/2) |
(/.f64 (*.f64 l V) A) |
(*.f64 c0 (pow.f64 (/.f64 (*.f64 l V) A) -1/2)) |
| 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 (pow.f64 (*.f64 (/.f64 l A) V) -1/6) (cbrt.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 A (*.f64 l V))) (pow.f64 (*.f64 (/.f64 l A) V) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 l A) V) -1/4) (pow.f64 (*.f64 (/.f64 l A) V) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 l V) -1/2) (sqrt.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 l A) V)) -1) (pow.f64 (*.f64 (/.f64 l A) V) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x 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 (/.f64 l A) 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 (sqrt.f64 (/.f64 A (*.f64 l V)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 l A) V) -3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 l A) V) 2)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 l A) V) -1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/4 (log.f64 (*.f64 (/.f64 l A) V))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 l A) V)) 1) -1/2))))) (#(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 exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 l A) V)) -1/4) 2)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 l A) V))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 l A)) V)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 l A)) V))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 l A)) V))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 l A)) V))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 l A) V))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 l (/.f64 1 (/.f64 A V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 l (*.f64 V (/.f64 1 A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 V (*.f64 l (/.f64 1 A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l V) (/.f64 1 A))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 l A) V) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 l A) V))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 l A) V)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 l A) V)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 l A) V)) 2) (cbrt.f64 (*.f64 (/.f64 l A) V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 l V)) 2) (*.f64 (cbrt.f64 (*.f64 l V)) (/.f64 1 A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) (sqrt.f64 (*.f64 (/.f64 l A) V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 l V)) (*.f64 (sqrt.f64 (*.f64 l V)) (/.f64 1 A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (neg.f64 V)) (/.f64 1 (neg.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 A) (*.f64 l V))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 l 1) (/.f64 V A))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 V 1) (/.f64 l A))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 l A) V)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 l V)) 2) 1) (/.f64 (cbrt.f64 (*.f64 l V)) A))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 l V)) 1) (/.f64 (sqrt.f64 (*.f64 l V)) A))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 l (cbrt.f64 (*.f64 A A))) (/.f64 V (cbrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 V (cbrt.f64 (*.f64 A A))) (/.f64 l (cbrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 A) -2) (/.f64 (*.f64 l V) (cbrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 l V)) 2) (cbrt.f64 (*.f64 A A))) (cbrt.f64 (*.f64 (/.f64 l A) V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 l V)) (cbrt.f64 (*.f64 A A))) (/.f64 (sqrt.f64 (*.f64 l V)) (cbrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 l (sqrt.f64 A)) (/.f64 V (sqrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 V (sqrt.f64 A)) (/.f64 l (sqrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 A -1/2) (/.f64 (*.f64 l V) (sqrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 l V)) 2) (sqrt.f64 A)) (/.f64 (cbrt.f64 (*.f64 l V)) (sqrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 l A) V) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 l A) V) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 l A) V) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 l A) V)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 A (*.f64 l V)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 l A) V)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 l V) 3) (pow.f64 A 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 A (*.f64 l V)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 l A) V))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 l A) V))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 l A) V)))) (sqrt.f64 (log.f64 (*.f64 (/.f64 l A) V))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 l V) (neg.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 l A) V) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 l A)) V))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 l A) V))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 l A) V) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 l V) 3) (pow.f64 A 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 l A) V)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 l A) V)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 l A) V)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 l A) V)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 l A) V) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 l A) V))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 l A) V))) 2))))) (#(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 (*.f64 (log.f64 (*.f64 (/.f64 l A) V)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 l) 1) (log.f64 (/.f64 A V))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 l V)) 1) (log.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 l V)) (*.f64 (log.f64 A) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 l V)) 1) (*.f64 (log.f64 A) 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 (sqrt.f64 (/.f64 A (*.f64 l V)))) c0)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))) c0))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))) c0))))))) (#(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 pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 c0 c0) (/.f64 A (*.f64 l V))) 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 c0 c0) (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))) c0))))) (#(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 (log.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0) 3)) 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 |
| 535× | exp-sum_binary64 |
| 491× | fma-neg_binary64 |
| 378× | div-sub_binary64 |
| 372× | exp-diff_binary64 |
| 345× | distribute-rgt-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 972 |
| 1 | 190 | 972 |
| 2 | 468 | 864 |
| 3 | 1198 | 756 |
| 4 | 3712 | 756 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 V A)) (log.f64 l)))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 V A)) (log.f64 l)))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 V A)) (log.f64 l)))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 V A)) (log.f64 l)))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 V A)) (*.f64 -1 (log.f64 (/.f64 1 l)))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 V A)) (*.f64 -1 (log.f64 (/.f64 1 l)))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 V A)) (*.f64 -1 (log.f64 (/.f64 1 l)))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 V A)) (*.f64 -1 (log.f64 (/.f64 1 l)))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 l))) (log.f64 (*.f64 -1 (/.f64 V A)))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 l))) (log.f64 (*.f64 -1 (/.f64 V A)))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 l))) (log.f64 (*.f64 -1 (/.f64 V A)))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 l))) (log.f64 (*.f64 -1 (/.f64 V A)))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 V))) (log.f64 (/.f64 l A))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 V))) (log.f64 (/.f64 l A))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 V))) (log.f64 (/.f64 l A))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 V))) (log.f64 (/.f64 l A))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 (/.f64 l A))) (*.f64 -1 (log.f64 (/.f64 -1 V)))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 (/.f64 l A))) (*.f64 -1 (log.f64 (/.f64 -1 V)))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 (/.f64 l A))) (*.f64 -1 (log.f64 (/.f64 -1 V)))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 (/.f64 l A))) (*.f64 -1 (log.f64 (/.f64 -1 V)))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 A)) (log.f64 (*.f64 V l))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 A)) (log.f64 (*.f64 V l))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 A)) (log.f64 (*.f64 V l))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 A)) (log.f64 (*.f64 V l))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 A)) (log.f64 (*.f64 V l))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 A)) (log.f64 (*.f64 V l))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 A)) (log.f64 (*.f64 V l))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 A)) (log.f64 (*.f64 V l))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 (*.f64 V l))) (log.f64 (/.f64 -1 A))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 (*.f64 V l))) (log.f64 (/.f64 -1 A))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 (*.f64 V l))) (log.f64 (/.f64 -1 A))))) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 (*.f64 V l))) (log.f64 (/.f64 -1 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 (*.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) |
| Outputs |
|---|
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 V A)) (log.f64 l)))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (/.f64 V A)) (log.f64 l))) |
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A))) |
(*.f64 (pow.f64 A 1/2) (pow.f64 (*.f64 V l) -1/2)) |
(pow.f64 (/.f64 V (/.f64 A l)) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 V A)) (log.f64 l)))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (/.f64 V A)) (log.f64 l))) |
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A))) |
(*.f64 (pow.f64 A 1/2) (pow.f64 (*.f64 V l) -1/2)) |
(pow.f64 (/.f64 V (/.f64 A l)) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 V A)) (log.f64 l)))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (/.f64 V A)) (log.f64 l))) |
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A))) |
(*.f64 (pow.f64 A 1/2) (pow.f64 (*.f64 V l) -1/2)) |
(pow.f64 (/.f64 V (/.f64 A l)) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 V A)) (log.f64 l)))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (/.f64 V A)) (log.f64 l))) |
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A))) |
(*.f64 (pow.f64 A 1/2) (pow.f64 (*.f64 V l) -1/2)) |
(pow.f64 (/.f64 V (/.f64 A l)) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 V A)) (*.f64 -1 (log.f64 (/.f64 1 l)))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (/.f64 V A)) (log.f64 l))) |
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A))) |
(*.f64 (pow.f64 A 1/2) (pow.f64 (*.f64 V l) -1/2)) |
(pow.f64 (/.f64 V (/.f64 A l)) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 V A)) (*.f64 -1 (log.f64 (/.f64 1 l)))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (/.f64 V A)) (log.f64 l))) |
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A))) |
(*.f64 (pow.f64 A 1/2) (pow.f64 (*.f64 V l) -1/2)) |
(pow.f64 (/.f64 V (/.f64 A l)) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 V A)) (*.f64 -1 (log.f64 (/.f64 1 l)))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (/.f64 V A)) (log.f64 l))) |
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A))) |
(*.f64 (pow.f64 A 1/2) (pow.f64 (*.f64 V l) -1/2)) |
(pow.f64 (/.f64 V (/.f64 A l)) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 V A)) (*.f64 -1 (log.f64 (/.f64 1 l)))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (/.f64 V A)) (log.f64 l))) |
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A))) |
(*.f64 (pow.f64 A 1/2) (pow.f64 (*.f64 V l) -1/2)) |
(pow.f64 (/.f64 V (/.f64 A l)) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 l))) (log.f64 (*.f64 -1 (/.f64 V A)))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (/.f64 V A)) (log.f64 l))) |
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A))) |
(*.f64 (pow.f64 A 1/2) (pow.f64 (*.f64 V l) -1/2)) |
(pow.f64 (/.f64 V (/.f64 A l)) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 l))) (log.f64 (*.f64 -1 (/.f64 V A)))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (/.f64 V A)) (log.f64 l))) |
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A))) |
(*.f64 (pow.f64 A 1/2) (pow.f64 (*.f64 V l) -1/2)) |
(pow.f64 (/.f64 V (/.f64 A l)) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 l))) (log.f64 (*.f64 -1 (/.f64 V A)))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (/.f64 V A)) (log.f64 l))) |
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A))) |
(*.f64 (pow.f64 A 1/2) (pow.f64 (*.f64 V l) -1/2)) |
(pow.f64 (/.f64 V (/.f64 A l)) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 l))) (log.f64 (*.f64 -1 (/.f64 V A)))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (/.f64 V A)) (log.f64 l))) |
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A))) |
(*.f64 (pow.f64 A 1/2) (pow.f64 (*.f64 V l) -1/2)) |
(pow.f64 (/.f64 V (/.f64 A l)) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (/.f64 V A)) (log.f64 l))) |
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A))) |
(*.f64 (pow.f64 A 1/2) (pow.f64 (*.f64 V l) -1/2)) |
(pow.f64 (/.f64 V (/.f64 A l)) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (/.f64 V A)) (log.f64 l))) |
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A))) |
(*.f64 (pow.f64 A 1/2) (pow.f64 (*.f64 V l) -1/2)) |
(pow.f64 (/.f64 V (/.f64 A l)) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (/.f64 V A)) (log.f64 l))) |
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A))) |
(*.f64 (pow.f64 A 1/2) (pow.f64 (*.f64 V l) -1/2)) |
(pow.f64 (/.f64 V (/.f64 A l)) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (/.f64 V A)) (log.f64 l))) |
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A))) |
(*.f64 (pow.f64 A 1/2) (pow.f64 (*.f64 V l) -1/2)) |
(pow.f64 (/.f64 V (/.f64 A l)) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 V))) (log.f64 (/.f64 l A))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (/.f64 V A)) (log.f64 l))) |
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A))) |
(*.f64 (pow.f64 A 1/2) (pow.f64 (*.f64 V l) -1/2)) |
(pow.f64 (/.f64 V (/.f64 A l)) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 V))) (log.f64 (/.f64 l A))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (/.f64 V A)) (log.f64 l))) |
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A))) |
(*.f64 (pow.f64 A 1/2) (pow.f64 (*.f64 V l) -1/2)) |
(pow.f64 (/.f64 V (/.f64 A l)) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 V))) (log.f64 (/.f64 l A))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (/.f64 V A)) (log.f64 l))) |
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A))) |
(*.f64 (pow.f64 A 1/2) (pow.f64 (*.f64 V l) -1/2)) |
(pow.f64 (/.f64 V (/.f64 A l)) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 V))) (log.f64 (/.f64 l A))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (/.f64 V A)) (log.f64 l))) |
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A))) |
(*.f64 (pow.f64 A 1/2) (pow.f64 (*.f64 V l) -1/2)) |
(pow.f64 (/.f64 V (/.f64 A l)) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 (/.f64 l A))) (*.f64 -1 (log.f64 (/.f64 -1 V)))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (/.f64 V A)) (log.f64 l))) |
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A))) |
(*.f64 (pow.f64 A 1/2) (pow.f64 (*.f64 V l) -1/2)) |
(pow.f64 (/.f64 V (/.f64 A l)) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 (/.f64 l A))) (*.f64 -1 (log.f64 (/.f64 -1 V)))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (/.f64 V A)) (log.f64 l))) |
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A))) |
(*.f64 (pow.f64 A 1/2) (pow.f64 (*.f64 V l) -1/2)) |
(pow.f64 (/.f64 V (/.f64 A l)) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 (/.f64 l A))) (*.f64 -1 (log.f64 (/.f64 -1 V)))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (/.f64 V A)) (log.f64 l))) |
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A))) |
(*.f64 (pow.f64 A 1/2) (pow.f64 (*.f64 V l) -1/2)) |
(pow.f64 (/.f64 V (/.f64 A l)) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 (/.f64 l A))) (*.f64 -1 (log.f64 (/.f64 -1 V)))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (/.f64 V A)) (log.f64 l))) |
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A))) |
(*.f64 (pow.f64 A 1/2) (pow.f64 (*.f64 V l) -1/2)) |
(pow.f64 (/.f64 V (/.f64 A l)) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 A)) (log.f64 (*.f64 V l))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (/.f64 V A)) (log.f64 l))) |
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A))) |
(*.f64 (pow.f64 A 1/2) (pow.f64 (*.f64 V l) -1/2)) |
(pow.f64 (/.f64 V (/.f64 A l)) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 A)) (log.f64 (*.f64 V l))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (/.f64 V A)) (log.f64 l))) |
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A))) |
(*.f64 (pow.f64 A 1/2) (pow.f64 (*.f64 V l) -1/2)) |
(pow.f64 (/.f64 V (/.f64 A l)) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 A)) (log.f64 (*.f64 V l))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (/.f64 V A)) (log.f64 l))) |
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A))) |
(*.f64 (pow.f64 A 1/2) (pow.f64 (*.f64 V l) -1/2)) |
(pow.f64 (/.f64 V (/.f64 A l)) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 A)) (log.f64 (*.f64 V l))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (/.f64 V A)) (log.f64 l))) |
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A))) |
(*.f64 (pow.f64 A 1/2) (pow.f64 (*.f64 V l) -1/2)) |
(pow.f64 (/.f64 V (/.f64 A l)) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 A)) (log.f64 (*.f64 V l))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (/.f64 V A)) (log.f64 l))) |
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A))) |
(*.f64 (pow.f64 A 1/2) (pow.f64 (*.f64 V l) -1/2)) |
(pow.f64 (/.f64 V (/.f64 A l)) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 A)) (log.f64 (*.f64 V l))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (/.f64 V A)) (log.f64 l))) |
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A))) |
(*.f64 (pow.f64 A 1/2) (pow.f64 (*.f64 V l) -1/2)) |
(pow.f64 (/.f64 V (/.f64 A l)) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 A)) (log.f64 (*.f64 V l))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (/.f64 V A)) (log.f64 l))) |
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A))) |
(*.f64 (pow.f64 A 1/2) (pow.f64 (*.f64 V l) -1/2)) |
(pow.f64 (/.f64 V (/.f64 A l)) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 A)) (log.f64 (*.f64 V l))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (/.f64 V A)) (log.f64 l))) |
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A))) |
(*.f64 (pow.f64 A 1/2) (pow.f64 (*.f64 V l) -1/2)) |
(pow.f64 (/.f64 V (/.f64 A l)) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 (*.f64 V l))) (log.f64 (/.f64 -1 A))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (/.f64 V A)) (log.f64 l))) |
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A))) |
(*.f64 (pow.f64 A 1/2) (pow.f64 (*.f64 V l) -1/2)) |
(pow.f64 (/.f64 V (/.f64 A l)) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 (*.f64 V l))) (log.f64 (/.f64 -1 A))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (/.f64 V A)) (log.f64 l))) |
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A))) |
(*.f64 (pow.f64 A 1/2) (pow.f64 (*.f64 V l) -1/2)) |
(pow.f64 (/.f64 V (/.f64 A l)) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 (*.f64 V l))) (log.f64 (/.f64 -1 A))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (/.f64 V A)) (log.f64 l))) |
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A))) |
(*.f64 (pow.f64 A 1/2) (pow.f64 (*.f64 V l) -1/2)) |
(pow.f64 (/.f64 V (/.f64 A l)) -1/2) |
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1 (*.f64 V l))) (log.f64 (/.f64 -1 A))))) |
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (/.f64 V A)) (log.f64 l))) |
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 V l)) (log.f64 A))) |
(*.f64 (pow.f64 A 1/2) (pow.f64 (*.f64 V l) -1/2)) |
(pow.f64 (/.f64 V (/.f64 A l)) -1/2) |
(/.f64 (*.f64 V l) A) |
(*.f64 (/.f64 V A) l) |
(/.f64 V (/.f64 A l)) |
(/.f64 (*.f64 V l) A) |
(*.f64 (/.f64 V A) l) |
(/.f64 V (/.f64 A l)) |
(/.f64 (*.f64 V l) A) |
(*.f64 (/.f64 V A) l) |
(/.f64 V (/.f64 A l)) |
(/.f64 (*.f64 V l) A) |
(*.f64 (/.f64 V A) l) |
(/.f64 V (/.f64 A l)) |
(/.f64 (*.f64 V l) A) |
(*.f64 (/.f64 V A) l) |
(/.f64 V (/.f64 A l)) |
(/.f64 (*.f64 V l) A) |
(*.f64 (/.f64 V A) l) |
(/.f64 V (/.f64 A l)) |
(/.f64 (*.f64 V l) A) |
(*.f64 (/.f64 V A) l) |
(/.f64 V (/.f64 A l)) |
(/.f64 (*.f64 V l) A) |
(*.f64 (/.f64 V A) l) |
(/.f64 V (/.f64 A l)) |
(/.f64 (*.f64 V l) A) |
(*.f64 (/.f64 V A) l) |
(/.f64 V (/.f64 A l)) |
(/.f64 (*.f64 V l) A) |
(*.f64 (/.f64 V A) l) |
(/.f64 V (/.f64 A l)) |
(/.f64 (*.f64 V l) A) |
(*.f64 (/.f64 V A) l) |
(/.f64 V (/.f64 A l)) |
(/.f64 (*.f64 V l) A) |
(*.f64 (/.f64 V A) l) |
(/.f64 V (/.f64 A l)) |
(/.f64 (*.f64 V l) A) |
(*.f64 (/.f64 V A) l) |
(/.f64 V (/.f64 A l)) |
(/.f64 (*.f64 V l) A) |
(*.f64 (/.f64 V A) l) |
(/.f64 V (/.f64 A l)) |
(/.f64 (*.f64 V l) A) |
(*.f64 (/.f64 V A) l) |
(/.f64 V (/.f64 A l)) |
(/.f64 (*.f64 V l) A) |
(*.f64 (/.f64 V A) l) |
(/.f64 V (/.f64 A l)) |
(/.f64 (*.f64 V l) A) |
(*.f64 (/.f64 V A) l) |
(/.f64 V (/.f64 A l)) |
(/.f64 (*.f64 V l) A) |
(*.f64 (/.f64 V A) l) |
(/.f64 V (/.f64 A l)) |
(/.f64 (*.f64 V l) A) |
(*.f64 (/.f64 V A) l) |
(/.f64 V (/.f64 A l)) |
(/.f64 (*.f64 V l) A) |
(*.f64 (/.f64 V A) l) |
(/.f64 V (/.f64 A l)) |
(/.f64 (*.f64 V l) A) |
(*.f64 (/.f64 V A) l) |
(/.f64 V (/.f64 A l)) |
(/.f64 (*.f64 V l) A) |
(*.f64 (/.f64 V A) l) |
(/.f64 V (/.f64 A l)) |
(/.f64 (*.f64 V l) A) |
(*.f64 (/.f64 V A) l) |
(/.f64 V (/.f64 A l)) |
(/.f64 (*.f64 V l) A) |
(*.f64 (/.f64 V A) l) |
(/.f64 V (/.f64 A l)) |
(/.f64 (*.f64 V l) A) |
(*.f64 (/.f64 V A) l) |
(/.f64 V (/.f64 A l)) |
(/.f64 (*.f64 V l) A) |
(*.f64 (/.f64 V A) l) |
(/.f64 V (/.f64 A l)) |
(/.f64 (*.f64 V l) A) |
(*.f64 (/.f64 V A) l) |
(/.f64 V (/.f64 A l)) |
(/.f64 (*.f64 V l) A) |
(*.f64 (/.f64 V A) l) |
(/.f64 V (/.f64 A l)) |
(/.f64 (*.f64 V l) A) |
(*.f64 (/.f64 V A) l) |
(/.f64 V (/.f64 A l)) |
(/.f64 (*.f64 V l) A) |
(*.f64 (/.f64 V A) l) |
(/.f64 V (/.f64 A l)) |
(/.f64 (*.f64 V l) A) |
(*.f64 (/.f64 V A) l) |
(/.f64 V (/.f64 A l)) |
(/.f64 (*.f64 V l) A) |
(*.f64 (/.f64 V A) l) |
(/.f64 V (/.f64 A l)) |
(/.f64 (*.f64 V l) A) |
(*.f64 (/.f64 V A) l) |
(/.f64 V (/.f64 A l)) |
(/.f64 (*.f64 V l) A) |
(*.f64 (/.f64 V A) l) |
(/.f64 V (/.f64 A l)) |
(/.f64 (*.f64 V l) A) |
(*.f64 (/.f64 V A) l) |
(/.f64 V (/.f64 A l)) |
(/.f64 (*.f64 V l) A) |
(*.f64 (/.f64 V A) l) |
(/.f64 V (/.f64 A 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 |
|---|---|---|
| ✓ | 0.5b | (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) |
| ✓ | 5.3b | (/.f64 (/.f64 A l) V) |
| ✓ | 15.7b | (sqrt.f64 (/.f64 (/.f64 A l) V)) |
Compiled 30 to 8 computations (73.3% saved)
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | A | @ | 0 | (sqrt.f64 (/.f64 (/.f64 A l) V)) |
| 1.0ms | l | @ | inf | (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) |
| 0.0ms | A | @ | -inf | (sqrt.f64 (/.f64 (/.f64 A l) V)) |
| 0.0ms | l | @ | -inf | (*.f64 c0 (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 |
|---|
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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 |
|---|---|---|
| ✓ | 5.1b | (*.f64 V (/.f64 l A)) |
| ✓ | 11.1b | (/.f64 (*.f64 c0 c0) (*.f64 V (/.f64 l A))) |
| ✓ | 23.9b | (sqrt.f64 (/.f64 (*.f64 c0 c0) (*.f64 V (/.f64 l A)))) |
Compiled 38 to 9 computations (76.3% saved)
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | V | @ | inf | (sqrt.f64 (/.f64 (*.f64 c0 c0) (*.f64 V (/.f64 l A)))) |
| 1.0ms | V | @ | 0 | (/.f64 (*.f64 c0 c0) (*.f64 V (/.f64 l A))) |
| 1.0ms | c0 | @ | 0 | (/.f64 (*.f64 c0 c0) (*.f64 V (/.f64 l A))) |
| 1.0ms | A | @ | 0 | (/.f64 (*.f64 c0 c0) (*.f64 V (/.f64 l A))) |
| 1.0ms | c0 | @ | inf | (/.f64 (*.f64 c0 c0) (*.f64 V (/.f64 l A))) |
| 1× | batch-egg-rewrite |
| 654× | log-prod_binary64 |
| 417× | pow-prod-down_binary64 |
| 293× | pow2_binary64 |
| 243× | pow-unpow_binary64 |
| 207× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 35 |
| 1 | 218 | 32 |
| 2 | 3222 | 32 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (/.f64 (*.f64 c0 c0) (*.f64 V (/.f64 l A)))) |
(/.f64 (*.f64 c0 c0) (*.f64 V (/.f64 l A))) |
(*.f64 V (/.f64 l A)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 c0 (*.f64 c0 (/.f64 (/.f64 A l) V))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (*.f64 c0 (/.f64 (/.f64 A l) V)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (*.f64 c0 (/.f64 (/.f64 A l) V))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (*.f64 c0 (/.f64 (/.f64 A l) V))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (*.f64 c0 (/.f64 (/.f64 A l) V))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 c0 (*.f64 c0 (/.f64 (/.f64 A l) V))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c0 (/.f64 1 (/.f64 V (*.f64 c0 (/.f64 A l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c0 (*.f64 c0 (/.f64 (/.f64 A l) V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c0 c0) (/.f64 (/.f64 A l) V))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c0 (*.f64 c0 (/.f64 (/.f64 A l) V))) 1)))) 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(/.f64 (/.f64 A l) V))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) 3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 c0 (*.f64 c0 (/.f64 (/.f64 A l) V)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 V c0) (/.f64 (/.f64 l A) c0)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 c0 6) (pow.f64 (*.f64 V (/.f64 l A)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (/.f64 V c0) (/.f64 (/.f64 l A) c0)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 c0 c0) (*.f64 V (neg.f64 (/.f64 l A)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c0) (*.f64 c0 (/.f64 (/.f64 A l) V))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 c0 (*.f64 c0 (/.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))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 c0 6) (pow.f64 (*.f64 V (/.f64 l A)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 c0 (*.f64 c0 (/.f64 (/.f64 A l) V)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 c0 (*.f64 c0 (/.f64 (/.f64 A l) V)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 c0) (log.f64 (/.f64 (/.f64 A l) V))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 c0) (log.f64 (/.f64 (/.f64 A l) V))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 V (/.f64 l A)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 V) (/.f64 l A))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 V) (/.f64 l A)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 V) (/.f64 l A)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 V) (/.f64 l A)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 V (/.f64 l A)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 V (/.f64 A l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 A (*.f64 V l)))))) (#(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 l) V) (neg.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 V (neg.f64 l)) (neg.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 V (/.f64 l A)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V (/.f64 l A)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V (/.f64 l A)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 V (/.f64 l A))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 A (*.f64 V l)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 V (/.f64 l A)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 V) (/.f64 l A)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 V (/.f64 l A)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 V (/.f64 l A)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 V (/.f64 l A))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 V (/.f64 l A))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 V (/.f64 l A))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 V (/.f64 l A))) 1)))))) |
| 1× | egg-herbie |
| 542× | fma-neg_binary64 |
| 405× | times-frac_binary64 |
| 331× | associate-/l*_binary64 |
| 330× | unswap-sqr_binary64 |
| 310× | div-sub_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 1028 |
| 1 | 38 | 1028 |
| 2 | 89 | 1028 |
| 3 | 223 | 1028 |
| 4 | 727 | 1028 |
| 5 | 3092 | 1028 |
| 6 | 3397 | 1028 |
| 7 | 4310 | 1028 |
| 8 | 4895 | 1028 |
| 9 | 6973 | 1028 |
| 10 | 7780 | 1028 |
| 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 (*.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) |
| 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 A V) (/.f64 l (*.f64 c0 c0))) |
(*.f64 A (*.f64 (/.f64 c0 l) (/.f64 c0 V))) |
(/.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 A V) (/.f64 l (*.f64 c0 c0))) |
(*.f64 A (*.f64 (/.f64 c0 l) (/.f64 c0 V))) |
(/.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 A V) (/.f64 l (*.f64 c0 c0))) |
(*.f64 A (*.f64 (/.f64 c0 l) (/.f64 c0 V))) |
(/.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 A V) (/.f64 l (*.f64 c0 c0))) |
(*.f64 A (*.f64 (/.f64 c0 l) (/.f64 c0 V))) |
(/.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 A V) (/.f64 l (*.f64 c0 c0))) |
(*.f64 A (*.f64 (/.f64 c0 l) (/.f64 c0 V))) |
(/.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 A V) (/.f64 l (*.f64 c0 c0))) |
(*.f64 A (*.f64 (/.f64 c0 l) (/.f64 c0 V))) |
(/.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 A V) (/.f64 l (*.f64 c0 c0))) |
(*.f64 A (*.f64 (/.f64 c0 l) (/.f64 c0 V))) |
(/.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 A V) (/.f64 l (*.f64 c0 c0))) |
(*.f64 A (*.f64 (/.f64 c0 l) (/.f64 c0 V))) |
(/.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 A V) (/.f64 l (*.f64 c0 c0))) |
(*.f64 A (*.f64 (/.f64 c0 l) (/.f64 c0 V))) |
(/.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 A V) (/.f64 l (*.f64 c0 c0))) |
(*.f64 A (*.f64 (/.f64 c0 l) (/.f64 c0 V))) |
(/.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 A V) (/.f64 l (*.f64 c0 c0))) |
(*.f64 A (*.f64 (/.f64 c0 l) (/.f64 c0 V))) |
(/.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 A V) (/.f64 l (*.f64 c0 c0))) |
(*.f64 A (*.f64 (/.f64 c0 l) (/.f64 c0 V))) |
(/.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 A V) (/.f64 l (*.f64 c0 c0))) |
(*.f64 A (*.f64 (/.f64 c0 l) (/.f64 c0 V))) |
(/.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 A V) (/.f64 l (*.f64 c0 c0))) |
(*.f64 A (*.f64 (/.f64 c0 l) (/.f64 c0 V))) |
(/.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 A V) (/.f64 l (*.f64 c0 c0))) |
(*.f64 A (*.f64 (/.f64 c0 l) (/.f64 c0 V))) |
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(*.f64 V (/.f64 l A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 l (/.f64 V A)) |
(*.f64 V (/.f64 l A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 l (/.f64 V A)) |
(*.f64 V (/.f64 l A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 l (/.f64 V A)) |
(*.f64 V (/.f64 l A)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) |
| ✓ | 0.3b | (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) |
| ✓ | 14.7b | (sqrt.f64 (/.f64 A V)) |
Compiled 33 to 9 computations (72.7% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | A | @ | 0 | (sqrt.f64 (/.f64 A V)) |
| 1.0ms | 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 |
| 575× | log-prod_binary64 |
| 419× | exp-prod_binary64 |
| 377× | 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 | 2874 | 27 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (/.f64 A V)) |
(/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) |
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) |
| 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 A V) 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 (log.f64 (pow.f64 (/.f64 A V) 1/4)) 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 (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 V)) (pow.f64 l -1/2))))) (#(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 (pow.f64 (/.f64 A (*.f64 l V)) 1/6) (cbrt.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 (cbrt.f64 (/.f64 A V)) (*.f64 (pow.f64 (/.f64 A V) 1/6) (pow.f64 l -1/2)))))) (#(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 (pow.f64 (/.f64 A V) 1/4) (*.f64 (pow.f64 (/.f64 A V) 1/4) (pow.f64 l -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 A V))) (/.f64 1 (neg.f64 (sqrt.f64 l))))))) (#(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 (/.f64 (cbrt.f64 (/.f64 A V)) 1) (/.f64 (pow.f64 (/.f64 A V) 1/6) (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 A V) 1/4) 1) (/.f64 (pow.f64 (/.f64 A V) 1/4) (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 l)) (/.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 A V)) (cbrt.f64 l)) (pow.f64 (/.f64 A (*.f64 l V)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 A V) 1/4) (cbrt.f64 l)) (/.f64 (pow.f64 (/.f64 A V) 1/4) (pow.f64 l 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 l -1/4) (/.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 A V)) (pow.f64 l 1/4)) (/.f64 (pow.f64 (/.f64 A V) 1/6) (pow.f64 l 1/4)))))) (#(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 (/.f64 A (*.f64 l V)) 1/2)))) (#(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 (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 (sqrt.f64 (/.f64 l (/.f64 A V))) -1)))) (#(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 (/.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 (sqrt.f64 (/.f64 l (/.f64 A V))) 1) -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 neg.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (neg.f64 (sqrt.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x 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 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 (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 (sqrt.f64 (/.f64 A (*.f64 l V)))) 1))))) (#(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 (pow.f64 (/.f64 A (*.f64 l V)) 3/2)) 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 (log.f64 (pow.f64 (/.f64 A (*.f64 l V)) 1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 l (/.f64 A V)))) -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 (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 (sqrt.f64 (/.f64 A (*.f64 l V)))) c0)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))) c0))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))) c0))))))) (#(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 c0 (sqrt.f64 (/.f64 l (/.f64 A V))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 (/.f64 A V)) c0)))))) (#(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 (neg.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0)) (neg.f64 (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) 1) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (cbrt.f64 l)) (pow.f64 l 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (pow.f64 l 1/4)) (pow.f64 l 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 A V))) c0) (neg.f64 (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c0 (neg.f64 (sqrt.f64 (/.f64 A V)))) (neg.f64 (sqrt.f64 l)))))) (#(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 (/.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 (/.f64 A V)) c0)) -1)))) (#(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 (sqrt.f64 (/.f64 A (*.f64 l V)))) c0))))) (#(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 | 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 |
|---|---|---|
| ✓ | 0.0b | (*.f64 c0 (/.f64 1 (*.f64 (sqrt.f64 (/.f64 l A)) (sqrt.f64 V)))) |
| ✓ | 0.1b | (*.f64 (sqrt.f64 (/.f64 l A)) (sqrt.f64 V)) |
| ✓ | 0.1b | (/.f64 1 (*.f64 (sqrt.f64 (/.f64 l A)) (sqrt.f64 V))) |
| ✓ | 7.7b | (sqrt.f64 (/.f64 l A)) |
Compiled 45 to 14 computations (68.9% saved)
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | A | @ | -inf | (sqrt.f64 (/.f64 l A)) |
| 2.0ms | c0 | @ | 0 | (*.f64 c0 (/.f64 1 (*.f64 (sqrt.f64 (/.f64 l A)) (sqrt.f64 V)))) |
| 1.0ms | l | @ | 0 | (sqrt.f64 (/.f64 l A)) |
| 1.0ms | l | @ | -inf | (sqrt.f64 (/.f64 l A)) |
| 1.0ms | A | @ | 0 | (sqrt.f64 (/.f64 l A)) |
| 1× | batch-egg-rewrite |
| 619× | log-prod_binary64 |
| 431× | pow-prod-down_binary64 |
| 299× | pow2_binary64 |
| 234× | pow-unpow_binary64 |
| 213× | pow-to-exp_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 39 |
| 1 | 248 | 37 |
| 2 | 3157 | 36 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (/.f64 l A)) |
(/.f64 1 (*.f64 (sqrt.f64 (/.f64 l A)) (sqrt.f64 V))) |
(*.f64 (sqrt.f64 (/.f64 l A)) (sqrt.f64 V)) |
(*.f64 c0 (/.f64 1 (*.f64 (sqrt.f64 (/.f64 l A)) (sqrt.f64 V)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 l A)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 l A)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 l A))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 l A))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 l A))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 l A)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 l A)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 l A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 l A) 1/6) (cbrt.f64 (/.f64 l A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 l A)) (pow.f64 (/.f64 l A) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 l A) 1/4) (pow.f64 (/.f64 l A) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 l) (pow.f64 A -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 A l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 A) (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 l) (sqrt.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 l)) (neg.f64 (sqrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 l A) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 l A)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 l A) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 l A) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 l A) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 l A) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 l A)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 l A) 1/4) 2)))) (#(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 (/.f64 (sqrt.f64 A) (sqrt.f64 l)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 l A)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 l A))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 l A)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 l A) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 l A))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 l A))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 l A))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 l A)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 l A))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 l A) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 l A) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (/.f64 l A))) 2)))))) |
((#(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 1 (sqrt.f64 (/.f64 (/.f64 A l) V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 l A) 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 l A) V) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 l A) V) -1/4) (pow.f64 (*.f64 (/.f64 l A) V) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)))))))) (#(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 (pow.f64 V -1/2) (sqrt.f64 (/.f64 A l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 (/.f64 l A) V))) (pow.f64 (*.f64 (/.f64 l A) V) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) -1)))) (#(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 l A) V) 3/2) -1/3)))) (#(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 (pow.f64 (*.f64 (/.f64 l A) V) -3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 l A) V) 1/6) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 l A) V) -1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 l A) V) 1/4) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 l A) V) -1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 l A) V) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)))) -1)))) (#(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 l A) 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 l A) V))) -1))))) (#(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 l A) V) -3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 l A) V) -1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 l A) V) -1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 l A) V)) -1/2)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 (/.f64 l A) V)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 l A) V))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 l A) V))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 l A) V))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 l A)) (pow.f64 V -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 (/.f64 A l) V)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 V) (sqrt.f64 (/.f64 A l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (/.f64 l A) V)) (pow.f64 (*.f64 (/.f64 l A) V) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 (/.f64 l A) V) 1/4) (pow.f64 (*.f64 (/.f64 l A) V) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 l A) V))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 l V) 1/2) (sqrt.f64 A))))) (#(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 pow.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) 1)))) (#(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 l A) V) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 l A) V) -3/2) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 l A) V) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 l A) V) -1/6) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 l A) V) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 l A) V) -1/4) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 l A) V) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 l A) V))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 l A) V))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 l A) V) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (/.f64 l A) V))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (/.f64 l A) V))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 l A) V))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 l A) V))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 l A) V) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 l A) V) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 l A) V) 1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 l A) V)) 1/2)))))) |
((#(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 /.f64 1 (/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) c0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 c0 c0)) (/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) (cbrt.f64 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 c0) (/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) (sqrt.f64 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 c0) (neg.f64 (sqrt.f64 (*.f64 (/.f64 l A) V))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 (/.f64 l A)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c0 (sqrt.f64 (/.f64 l A))) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c0 (pow.f64 (*.f64 (/.f64 l A) V) 1/4)) (pow.f64 (*.f64 (/.f64 l A) V) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c0 1) (sqrt.f64 (*.f64 (/.f64 l A) V)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c0 (cbrt.f64 (*.f64 (/.f64 l A) V))) (pow.f64 (*.f64 (/.f64 l A) V) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 c0) (neg.f64 (sqrt.f64 (*.f64 (/.f64 l A) V))))))) (#(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 -1) (neg.f64 (sqrt.f64 (*.f64 (/.f64 l A) 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 (/.f64 A l) V)) c0) 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 (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 c0 3) (pow.f64 (*.f64 (/.f64 l A) V) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) c0) -1)))) (#(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 (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 c0 3) (pow.f64 (*.f64 (/.f64 l A) 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 exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) 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 8860 to 3117 computations (64.8% saved)
24 alts after pruning (18 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 657 | 15 | 672 |
| Fresh | 10 | 3 | 13 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 6 | 8 |
| Total | 670 | 24 | 694 |
| Status | Error | Program |
|---|---|---|
| ✓ | 16.9b | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 17.4b | (/.f64 1 (/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) c0)) | |
| 28.3b | (/.f64 1 (/.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 (/.f64 A V)) c0))) | |
| ✓ | 16.7b | (*.f64 c0 (pow.f64 (/.f64 (*.f64 l V) A) -1/2)) |
| ✓ | 46.5b | (sqrt.f64 (/.f64 (*.f64 c0 c0) (*.f64 V (/.f64 l A)))) |
| 42.7b | (sqrt.f64 (*.f64 A (*.f64 (/.f64 c0 l) (/.f64 c0 V)))) | |
| ▶ | 18.9b | (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) |
| 31.3b | (*.f64 c0 (/.f64 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))) (sqrt.f64 l))) | |
| 17.0b | (*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) -1/2)) | |
| 37.1b | (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))) | |
| ▶ | 44.0b | (sqrt.f64 (*.f64 (/.f64 (/.f64 c0 (/.f64 V c0)) l) A)) |
| 52.2b | (/.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 (/.f64 l A))) | |
| 38.6b | (/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l))) | |
| ▶ | 51.5b | (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l)))) |
| 35.1b | (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))) | |
| ✓ | 26.1b | (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) |
| ▶ | 17.0b | (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V))) |
| 54.1b | (log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A l) V)))) | |
| ▶ | 28.2b | (/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l)) |
| 22.3b | (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))) | |
| 46.3b | (sqrt.f64 (*.f64 (/.f64 (*.f64 c0 c0) (*.f64 V l)) A)) | |
| ✓ | 17.0b | (*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A))) |
| 37.1b | (*.f64 c0 (*.f64 (pow.f64 (*.f64 l V) -1/2) (sqrt.f64 A))) | |
| ✓ | 17.4b | (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) |
Compiled 576 to 401 computations (30.4% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V))) |
| ✓ | 5.1b | (*.f64 (/.f64 l A) V) |
| ✓ | 15.8b | (sqrt.f64 (*.f64 (/.f64 l A) V)) |
Compiled 30 to 8 computations (73.3% saved)
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | l | @ | 0 | (sqrt.f64 (*.f64 (/.f64 l A) V)) |
| 0.0ms | l | @ | -inf | (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V))) |
| 0.0ms | l | @ | inf | (sqrt.f64 (*.f64 (/.f64 l A) V)) |
| 0.0ms | V | @ | inf | (sqrt.f64 (*.f64 (/.f64 l A) V)) |
| 0.0ms | A | @ | -inf | (sqrt.f64 (*.f64 (/.f64 l A) V)) |
| 1× | batch-egg-rewrite |
| 538× | log-prod_binary64 |
| 402× | exp-prod_binary64 |
| 331× | pow-prod-down_binary64 |
| 257× | pow2_binary64 |
| 201× | pow-unpow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 28 |
| 1 | 191 | 28 |
| 2 | 2613 | 28 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 (/.f64 l A) V)) |
(*.f64 (/.f64 l A) V) |
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 (/.f64 l A) V)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 l A) V))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 l A) V))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 l A) V))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (/.f64 l A) V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 l A) V)) (pow.f64 (*.f64 (/.f64 l A) V) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 l A) V) 1/6) (cbrt.f64 (*.f64 (/.f64 l A) V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 V) (sqrt.f64 (/.f64 l A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 l A) V) 1/4) (pow.f64 (*.f64 (/.f64 l A) V) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 l A)) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 l V)) (sqrt.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 l A) V) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 l A) V) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 l A) V) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 l A) V) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 l A) V)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 l A) V) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 l A) V) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (*.f64 (/.f64 l A) V))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log.f64 (*.f64 (/.f64 l A) V)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 l A) V))))) (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 l A) V))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 l A) V) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (/.f64 l A) V))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (/.f64 l A) V))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 l A) V))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 l A) V)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 l A) V))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 (/.f64 l A) V))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 l A) V) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 (/.f64 l A) V))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 l A) V)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 l A) V)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 l A) V))) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 l A) V))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 V) (/.f64 l A))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 V) (/.f64 l A)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 V) (/.f64 l A)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 V) (/.f64 l A)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 l A) V))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 l (/.f64 A V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 V (/.f64 A l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 A (*.f64 l V)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l V) A)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 l V)) (neg.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 l V) 1) A)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 l V) (pow.f64 (cbrt.f64 A) 2)) (cbrt.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 l V) (sqrt.f64 A)) (sqrt.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 l) V) (neg.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 V (neg.f64 l)) (neg.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 l A) V) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 l A) V) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 l A) V) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 l A) V) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 l A) V)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 l A) V) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 l A) V) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 l A) V)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 A (*.f64 l V)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 l A) V))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 l A) V))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 l A) V)))) (sqrt.f64 (log.f64 (*.f64 (/.f64 l A) V))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 l A) V) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 V) (/.f64 l A)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 l A) V))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 l A) V) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 l A) V)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 l A) V)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 l A) V)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 l A) V)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 l A) V))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 (/.f64 l A) V))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 l A) V))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 l A) V))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 l A) V)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 l A) V)) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 l A) V))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 V) 1) (log.f64 (/.f64 A l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 l V)) (*.f64 (log.f64 A) 1))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c0 (pow.f64 (*.f64 (/.f64 l A) V) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 c0) 2) (*.f64 (cbrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c0) 1) (/.f64 (sqrt.f64 c0) (sqrt.f64 (*.f64 (/.f64 l A) V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 (/.f64 l A) V))) (/.f64 c0 (pow.f64 (*.f64 (/.f64 l A) V) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c0) 2) (cbrt.f64 (*.f64 (/.f64 l A) V))) (cbrt.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c0) (cbrt.f64 (*.f64 (/.f64 l A) V))) (/.f64 (sqrt.f64 c0) (pow.f64 (*.f64 (/.f64 l A) V) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 l A) V) -1/4) (/.f64 c0 (pow.f64 (*.f64 (/.f64 l A) V) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c0) 2) (pow.f64 (*.f64 (/.f64 l A) V) 1/4)) (/.f64 (cbrt.f64 c0) (pow.f64 (*.f64 (/.f64 l A) V) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 l A) -1/2) (/.f64 c0 (sqrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c0) 2) (sqrt.f64 (/.f64 l A))) (/.f64 (cbrt.f64 c0) (sqrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c0) (sqrt.f64 (/.f64 l A))) (/.f64 (sqrt.f64 c0) (sqrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 c0 c0) (*.f64 (/.f64 l A) V)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) c0) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 c0 3) (pow.f64 (*.f64 (/.f64 l A) V) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) c0) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V))))) 2)) (cbrt.f64 (log.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))))) (sqrt.f64 (log.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 c0 (neg.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 c0 c0) (*.f64 (/.f64 l A) V)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 c0 3) (pow.f64 (*.f64 (/.f64 l A) V) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) c0)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 c0) 1) (log.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 c0) (*.f64 (log.f64 (*.f64 (/.f64 l A) V)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 c0) 1) (*.f64 (log.f64 (*.f64 (/.f64 l A) V)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 c0) (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 l A) V))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 c0) 1) (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 l A) V))) 1))))))) |
| 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 | 396 |
| 1 | 16 | 396 |
| 2 | 20 | 396 |
| 3 | 23 | 396 |
| 4 | 24 | 396 |
| 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) |
| 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) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) |
| 6.1b | (/.f64 l (/.f64 A V)) | |
| 15.8b | (sqrt.f64 (/.f64 l (/.f64 A V))) |
Compiled 30 to 8 computations (73.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | V | @ | -inf | (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) |
| 0.0ms | A | @ | -inf | (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) |
| 0.0ms | l | @ | -inf | (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) |
| 0.0ms | l | @ | 0 | (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) |
| 0.0ms | V | @ | inf | (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) |
| 1× | batch-egg-rewrite |
| 575× | log-prod_binary64 |
| 436× | exp-prod_binary64 |
| 322× | pow-prod-down_binary64 |
| 267× | pow2_binary64 |
| 201× | pow-unpow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 12 |
| 1 | 197 | 12 |
| 2 | 2849 | 12 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))))))) (#(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 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 c0) 2) (*.f64 (cbrt.f64 c0) (sqrt.f64 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))) (cbrt.f64 (*.f64 (*.f64 c0 c0) (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 c0 c0) (/.f64 A (*.f64 l V)))) (cbrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c0) (*.f64 (sqrt.f64 c0) (sqrt.f64 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))) (sqrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 c0) (/.f64 1 (neg.f64 (sqrt.f64 (*.f64 l (/.f64 V A))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c0) 2) 1) (/.f64 (cbrt.f64 c0) (sqrt.f64 (*.f64 l (/.f64 V A)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c0) 1) (/.f64 (sqrt.f64 c0) (sqrt.f64 (*.f64 l (/.f64 V A)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 l (/.f64 V A)))) (/.f64 c0 (pow.f64 (*.f64 l (/.f64 V A)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c0) 2) (cbrt.f64 (*.f64 l (/.f64 V A)))) (cbrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c0) (cbrt.f64 (*.f64 l (/.f64 V A)))) (/.f64 (sqrt.f64 c0) (pow.f64 (*.f64 l (/.f64 V A)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 l (/.f64 V A)) -1/4) (/.f64 c0 (pow.f64 (*.f64 l (/.f64 V A)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c0) 2) (pow.f64 (*.f64 l (/.f64 V A)) 1/4)) (/.f64 (cbrt.f64 c0) (pow.f64 (*.f64 l (/.f64 V A)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c0 (sqrt.f64 l)) (sqrt.f64 (/.f64 A V)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 c0 c0) (/.f64 A (*.f64 l V))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 l (/.f64 V A))) c0) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 c0 3) (pow.f64 (*.f64 l (/.f64 V A)) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 l (/.f64 V A))) c0) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))))) 2)) (cbrt.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))))) (sqrt.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 c0 (neg.f64 (sqrt.f64 (*.f64 l (/.f64 V A))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 c0 c0) (/.f64 A (*.f64 l V))))))) (#(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 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 c0 3) (pow.f64 (*.f64 l (/.f64 V A)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 l (/.f64 V A))) c0)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 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 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 c0 (/.f64 V c0)) |
| ✓ | 4.6b | (*.f64 (/.f64 (/.f64 c0 (/.f64 V c0)) l) A) |
| ✓ | 6.6b | (/.f64 (/.f64 c0 (/.f64 V c0)) l) |
| ✓ | 23.9b | (sqrt.f64 (*.f64 (/.f64 (/.f64 c0 (/.f64 V c0)) l) A)) |
Compiled 42 to 9 computations (78.6% saved)
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | V | @ | -inf | (*.f64 (/.f64 (/.f64 c0 (/.f64 V c0)) l) A) |
| 1.0ms | c0 | @ | inf | (/.f64 c0 (/.f64 V c0)) |
| 1.0ms | V | @ | inf | (*.f64 (/.f64 (/.f64 c0 (/.f64 V c0)) l) A) |
| 1.0ms | V | @ | 0 | (/.f64 (/.f64 c0 (/.f64 V c0)) l) |
| 1.0ms | V | @ | inf | (/.f64 (/.f64 c0 (/.f64 V c0)) l) |
| 1× | batch-egg-rewrite |
| 669× | log-prod_binary64 |
| 438× | pow-prod-down_binary64 |
| 294× | pow2_binary64 |
| 273× | pow-unpow_binary64 |
| 209× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 45 |
| 1 | 219 | 45 |
| 2 | 3225 | 45 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 (/.f64 (/.f64 c0 (/.f64 V c0)) l) A)) |
(/.f64 (/.f64 c0 (/.f64 V c0)) l) |
(*.f64 (/.f64 (/.f64 c0 (/.f64 V c0)) l) A) |
(/.f64 c0 (/.f64 V c0)) |
| Outputs |
|---|
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l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 c0 (*.f64 (/.f64 V c0) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 c0 (*.f64 (/.f64 V c0) l)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 V (*.f64 c0 c0)) -3) (pow.f64 l 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 c0 (*.f64 (/.f64 V c0) l))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 c0 (*.f64 (/.f64 V c0) l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 c0 (*.f64 (/.f64 V c0) l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 c0 (*.f64 (/.f64 V c0) l))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 c0 (*.f64 (/.f64 c0 V) A)) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 c0 (*.f64 (/.f64 c0 V) A)) l))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 c0 (*.f64 (/.f64 c0 V) A)) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 c0 (*.f64 (/.f64 c0 V) A)) l)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 c0 (*.f64 (/.f64 c0 V) A)) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 c0 (*.f64 (/.f64 c0 V) A)) l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c0 (/.f64 c0 V)) (/.f64 l A))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 A (*.f64 (/.f64 V c0) (/.f64 l c0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 l (*.f64 c0 (*.f64 (/.f64 c0 V) A))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c0 (*.f64 (/.f64 c0 V) A)) l)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 c0 (*.f64 (/.f64 c0 V) A))) (neg.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c0 (*.f64 (/.f64 c0 V) A)) 1) l)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c0 (*.f64 (/.f64 c0 V) A)) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c0 (*.f64 (/.f64 c0 V) A)) (sqrt.f64 l)) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c0 A) (*.f64 (/.f64 V c0) l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c0 (neg.f64 (/.f64 c0 V))) A) (neg.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 A c0) (*.f64 (/.f64 V c0) l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 A (*.f64 c0 (neg.f64 (/.f64 c0 V)))) (neg.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 c0 (*.f64 (/.f64 c0 V) A)) l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 c0 (*.f64 (/.f64 c0 V) A)) l)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 c0 (*.f64 (/.f64 c0 V) A)) l) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 c0 (*.f64 (/.f64 c0 V) A)) l) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 c0 (*.f64 (/.f64 c0 V) A)) l) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 c0 (*.f64 (/.f64 c0 V) A)) l)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 c0 (*.f64 (/.f64 c0 V) A)) l) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 c0 (*.f64 (/.f64 c0 V) A)) l) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 l (*.f64 c0 (*.f64 (/.f64 c0 V) A))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 c0 (*.f64 (/.f64 c0 V) A)) l) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 c0 (*.f64 (/.f64 c0 V) A)) l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 c0 (*.f64 (/.f64 c0 V) A)) l))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 c0 (*.f64 (/.f64 c0 V) A)) l) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 c0 (*.f64 (/.f64 c0 V) A)) l)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 c0 (*.f64 (/.f64 c0 V) A)) l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 c0 (*.f64 (/.f64 c0 V) A)) l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 c0 (*.f64 (/.f64 c0 V) A)) l)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 c0 (/.f64 c0 V)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (/.f64 c0 V))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (/.f64 c0 V)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (/.f64 c0 V)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (/.f64 c0 V)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 c0 (/.f64 c0 V)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c0 (/.f64 c0 V))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c0 (/.f64 c0 V)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 c0 (/.f64 c0 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 c0 (/.f64 c0 V))) (cbrt.f64 (pow.f64 (*.f64 c0 (/.f64 c0 V)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 c0 (/.f64 c0 V)) 2)) (cbrt.f64 (*.f64 c0 (/.f64 c0 V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 c0 c0)) (*.f64 (cbrt.f64 c0) (/.f64 c0 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c0 (/.f64 c0 V))) (sqrt.f64 (*.f64 c0 (/.f64 c0 V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c0) (*.f64 (sqrt.f64 c0) (/.f64 c0 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 c0) (/.f64 1 (/.f64 (neg.f64 V) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c0 V) c0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 V) (*.f64 c0 c0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 c0 c0)) V) (*.f64 (cbrt.f64 c0) c0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c0) V) (pow.f64 c0 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 c0 c0)) 1) (/.f64 (cbrt.f64 c0) (/.f64 V c0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c0) 1) (/.f64 (sqrt.f64 c0) (/.f64 V c0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 V c0)) -2) (/.f64 c0 (cbrt.f64 (/.f64 V c0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 c0 c0)) (pow.f64 (cbrt.f64 (/.f64 V c0)) 2)) (cbrt.f64 (*.f64 c0 (/.f64 c0 V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c0) (pow.f64 (cbrt.f64 (/.f64 V c0)) 2)) (/.f64 (sqrt.f64 c0) (cbrt.f64 (/.f64 V c0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 V c0) -1/2) (/.f64 c0 (sqrt.f64 (/.f64 V c0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 c0 c0)) (sqrt.f64 (/.f64 V c0))) (/.f64 (cbrt.f64 c0) (sqrt.f64 (/.f64 V c0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c0 1) (/.f64 c0 V))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c0 (neg.f64 V)) (neg.f64 c0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 c0 V) 1) c0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 c0 V) (cbrt.f64 (*.f64 c0 c0))) (cbrt.f64 c0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 c0 V) (sqrt.f64 c0)) (sqrt.f64 c0))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c0 (/.f64 c0 V)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c0 (/.f64 c0 V)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 V (*.f64 c0 c0)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 c0 (/.f64 c0 V))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c0 (/.f64 c0 V))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 V (*.f64 c0 c0)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 c0 3) (pow.f64 (/.f64 V c0) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 V (*.f64 c0 c0)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 c0 (/.f64 (neg.f64 V) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 c0 (/.f64 c0 V)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c0) (/.f64 c0 V)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 c0 (/.f64 c0 V)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 V (*.f64 c0 c0)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 c0 3) (pow.f64 (/.f64 V c0) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 c0 (/.f64 c0 V))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 c0 (/.f64 c0 V))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 c0 (/.f64 c0 V))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c0 (/.f64 c0 V))) 1)))))) |
| 1× | egg-herbie |
| 636× | fma-neg_binary64 |
| 393× | times-frac_binary64 |
| 343× | associate-/l*_binary64 |
| 330× | unswap-sqr_binary64 |
| 292× | associate-*l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 1304 |
| 1 | 38 | 1304 |
| 2 | 95 | 1304 |
| 3 | 242 | 1304 |
| 4 | 788 | 1304 |
| 5 | 3301 | 1304 |
| 6 | 3606 | 1304 |
| 7 | 4520 | 1304 |
| 8 | 5121 | 1304 |
| 9 | 7440 | 1304 |
| 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 (pow.f64 c0 2) (*.f64 V l)) |
(/.f64 (pow.f64 c0 2) (*.f64 V l)) |
(/.f64 (pow.f64 c0 2) (*.f64 V l)) |
(/.f64 (pow.f64 c0 2) (*.f64 V l)) |
(/.f64 (pow.f64 c0 2) (*.f64 V l)) |
(/.f64 (pow.f64 c0 2) (*.f64 V l)) |
(/.f64 (pow.f64 c0 2) (*.f64 V l)) |
(/.f64 (pow.f64 c0 2) (*.f64 V l)) |
(/.f64 (pow.f64 c0 2) (*.f64 V l)) |
(/.f64 (pow.f64 c0 2) (*.f64 V l)) |
(/.f64 (pow.f64 c0 2) (*.f64 V l)) |
(/.f64 (pow.f64 c0 2) (*.f64 V l)) |
(/.f64 (pow.f64 c0 2) (*.f64 V l)) |
(/.f64 (pow.f64 c0 2) (*.f64 V l)) |
(/.f64 (pow.f64 c0 2) (*.f64 V l)) |
(/.f64 (pow.f64 c0 2) (*.f64 V l)) |
(/.f64 (pow.f64 c0 2) (*.f64 V l)) |
(/.f64 (pow.f64 c0 2) (*.f64 V l)) |
(/.f64 (pow.f64 c0 2) (*.f64 V l)) |
(/.f64 (pow.f64 c0 2) (*.f64 V l)) |
(/.f64 (pow.f64 c0 2) (*.f64 V l)) |
(/.f64 (pow.f64 c0 2) (*.f64 V l)) |
(/.f64 (pow.f64 c0 2) (*.f64 V l)) |
(/.f64 (pow.f64 c0 2) (*.f64 V l)) |
(/.f64 (pow.f64 c0 2) (*.f64 V l)) |
(/.f64 (pow.f64 c0 2) (*.f64 V l)) |
(/.f64 (pow.f64 c0 2) (*.f64 V l)) |
(/.f64 (pow.f64 c0 2) (*.f64 V l)) |
(/.f64 (pow.f64 c0 2) (*.f64 V l)) |
(/.f64 (pow.f64 c0 2) (*.f64 V l)) |
(/.f64 (pow.f64 c0 2) (*.f64 V l)) |
(/.f64 (pow.f64 c0 2) (*.f64 V l)) |
(/.f64 (pow.f64 c0 2) (*.f64 V l)) |
(/.f64 (pow.f64 c0 2) (*.f64 V l)) |
(/.f64 (pow.f64 c0 2) (*.f64 V l)) |
(/.f64 (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 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(/.f64 (pow.f64 c0 2) V) |
(/.f64 (pow.f64 c0 2) V) |
(/.f64 (pow.f64 c0 2) V) |
(/.f64 (pow.f64 c0 2) V) |
(/.f64 (pow.f64 c0 2) V) |
(/.f64 (pow.f64 c0 2) V) |
(/.f64 (pow.f64 c0 2) V) |
(/.f64 (pow.f64 c0 2) V) |
(/.f64 (pow.f64 c0 2) V) |
(/.f64 (pow.f64 c0 2) V) |
(/.f64 (pow.f64 c0 2) V) |
(/.f64 (pow.f64 c0 2) V) |
(/.f64 (pow.f64 c0 2) V) |
(/.f64 (pow.f64 c0 2) V) |
(/.f64 (pow.f64 c0 2) V) |
(/.f64 (pow.f64 c0 2) V) |
(/.f64 (pow.f64 c0 2) V) |
(/.f64 (pow.f64 c0 2) V) |
(/.f64 (pow.f64 c0 2) V) |
(/.f64 (pow.f64 c0 2) V) |
(/.f64 (pow.f64 c0 2) V) |
(/.f64 (pow.f64 c0 2) V) |
(/.f64 (pow.f64 c0 2) V) |
(/.f64 (pow.f64 c0 2) V) |
| 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) |
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(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)) |
(*.f64 A (*.f64 c0 (/.f64 (/.f64 c0 V) l))) |
(*.f64 A (/.f64 (/.f64 (*.f64 c0 c0) V) l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l)) |
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)) |
(*.f64 A (*.f64 c0 (/.f64 (/.f64 c0 V) l))) |
(*.f64 A (/.f64 (/.f64 (*.f64 c0 c0) V) l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l)) |
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)) |
(*.f64 A (*.f64 c0 (/.f64 (/.f64 c0 V) l))) |
(*.f64 A (/.f64 (/.f64 (*.f64 c0 c0) V) l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l)) |
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)) |
(*.f64 A (*.f64 c0 (/.f64 (/.f64 c0 V) l))) |
(*.f64 A (/.f64 (/.f64 (*.f64 c0 c0) V) l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l)) |
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)) |
(*.f64 A (*.f64 c0 (/.f64 (/.f64 c0 V) l))) |
(*.f64 A (/.f64 (/.f64 (*.f64 c0 c0) V) l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l)) |
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)) |
(*.f64 A (*.f64 c0 (/.f64 (/.f64 c0 V) l))) |
(*.f64 A (/.f64 (/.f64 (*.f64 c0 c0) V) l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l)) |
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)) |
(*.f64 A (*.f64 c0 (/.f64 (/.f64 c0 V) l))) |
(*.f64 A (/.f64 (/.f64 (*.f64 c0 c0) V) l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l)) |
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)) |
(*.f64 A (*.f64 c0 (/.f64 (/.f64 c0 V) l))) |
(*.f64 A (/.f64 (/.f64 (*.f64 c0 c0) V) l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l)) |
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)) |
(*.f64 A (*.f64 c0 (/.f64 (/.f64 c0 V) l))) |
(*.f64 A (/.f64 (/.f64 (*.f64 c0 c0) V) l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l)) |
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)) |
(*.f64 A (*.f64 c0 (/.f64 (/.f64 c0 V) l))) |
(*.f64 A (/.f64 (/.f64 (*.f64 c0 c0) V) l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l)) |
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)) |
(*.f64 A (*.f64 c0 (/.f64 (/.f64 c0 V) l))) |
(*.f64 A (/.f64 (/.f64 (*.f64 c0 c0) V) l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l)) |
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)) |
(*.f64 A (*.f64 c0 (/.f64 (/.f64 c0 V) l))) |
(*.f64 A (/.f64 (/.f64 (*.f64 c0 c0) V) l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l)) |
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)) |
(*.f64 A (*.f64 c0 (/.f64 (/.f64 c0 V) l))) |
(*.f64 A (/.f64 (/.f64 (*.f64 c0 c0) V) l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l)) |
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)) |
(*.f64 A (*.f64 c0 (/.f64 (/.f64 c0 V) l))) |
(*.f64 A (/.f64 (/.f64 (*.f64 c0 c0) V) l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l)) |
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)) |
(*.f64 A (*.f64 c0 (/.f64 (/.f64 c0 V) l))) |
(*.f64 A (/.f64 (/.f64 (*.f64 c0 c0) V) l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l)) |
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)) |
(*.f64 A (*.f64 c0 (/.f64 (/.f64 c0 V) l))) |
(*.f64 A (/.f64 (/.f64 (*.f64 c0 c0) V) l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l)) |
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)) |
(*.f64 A (*.f64 c0 (/.f64 (/.f64 c0 V) l))) |
(*.f64 A (/.f64 (/.f64 (*.f64 c0 c0) V) l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l)) |
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)) |
(*.f64 A (*.f64 c0 (/.f64 (/.f64 c0 V) l))) |
(*.f64 A (/.f64 (/.f64 (*.f64 c0 c0) V) l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l)) |
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)) |
(*.f64 A (*.f64 c0 (/.f64 (/.f64 c0 V) l))) |
(*.f64 A (/.f64 (/.f64 (*.f64 c0 c0) V) l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l)) |
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)) |
(*.f64 A (*.f64 c0 (/.f64 (/.f64 c0 V) l))) |
(*.f64 A (/.f64 (/.f64 (*.f64 c0 c0) V) l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l)) |
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)) |
(*.f64 A (*.f64 c0 (/.f64 (/.f64 c0 V) l))) |
(*.f64 A (/.f64 (/.f64 (*.f64 c0 c0) V) l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l)) |
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)) |
(*.f64 A (*.f64 c0 (/.f64 (/.f64 c0 V) l))) |
(*.f64 A (/.f64 (/.f64 (*.f64 c0 c0) V) l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l)) |
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)) |
(*.f64 A (*.f64 c0 (/.f64 (/.f64 c0 V) l))) |
(*.f64 A (/.f64 (/.f64 (*.f64 c0 c0) V) l)) |
(/.f64 (*.f64 A (pow.f64 c0 2)) (*.f64 V l)) |
(*.f64 (/.f64 A V) (/.f64 (*.f64 c0 c0) l)) |
(*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)) |
(*.f64 A (*.f64 c0 (/.f64 (/.f64 c0 V) l))) |
(*.f64 A (/.f64 (/.f64 (*.f64 c0 c0) V) l)) |
(/.f64 (pow.f64 c0 2) V) |
(/.f64 (*.f64 c0 c0) V) |
(/.f64 c0 (/.f64 V c0)) |
(*.f64 (/.f64 c0 V) c0) |
(*.f64 c0 (/.f64 c0 V)) |
(/.f64 (pow.f64 c0 2) V) |
(/.f64 (*.f64 c0 c0) V) |
(/.f64 c0 (/.f64 V c0)) |
(*.f64 (/.f64 c0 V) c0) |
(*.f64 c0 (/.f64 c0 V)) |
(/.f64 (pow.f64 c0 2) V) |
(/.f64 (*.f64 c0 c0) V) |
(/.f64 c0 (/.f64 V c0)) |
(*.f64 (/.f64 c0 V) c0) |
(*.f64 c0 (/.f64 c0 V)) |
(/.f64 (pow.f64 c0 2) V) |
(/.f64 (*.f64 c0 c0) V) |
(/.f64 c0 (/.f64 V c0)) |
(*.f64 (/.f64 c0 V) c0) |
(*.f64 c0 (/.f64 c0 V)) |
(/.f64 (pow.f64 c0 2) V) |
(/.f64 (*.f64 c0 c0) V) |
(/.f64 c0 (/.f64 V c0)) |
(*.f64 (/.f64 c0 V) c0) |
(*.f64 c0 (/.f64 c0 V)) |
(/.f64 (pow.f64 c0 2) V) |
(/.f64 (*.f64 c0 c0) V) |
(/.f64 c0 (/.f64 V c0)) |
(*.f64 (/.f64 c0 V) c0) |
(*.f64 c0 (/.f64 c0 V)) |
(/.f64 (pow.f64 c0 2) V) |
(/.f64 (*.f64 c0 c0) V) |
(/.f64 c0 (/.f64 V c0)) |
(*.f64 (/.f64 c0 V) c0) |
(*.f64 c0 (/.f64 c0 V)) |
(/.f64 (pow.f64 c0 2) V) |
(/.f64 (*.f64 c0 c0) V) |
(/.f64 c0 (/.f64 V c0)) |
(*.f64 (/.f64 c0 V) c0) |
(*.f64 c0 (/.f64 c0 V)) |
(/.f64 (pow.f64 c0 2) V) |
(/.f64 (*.f64 c0 c0) V) |
(/.f64 c0 (/.f64 V c0)) |
(*.f64 (/.f64 c0 V) c0) |
(*.f64 c0 (/.f64 c0 V)) |
(/.f64 (pow.f64 c0 2) V) |
(/.f64 (*.f64 c0 c0) V) |
(/.f64 c0 (/.f64 V c0)) |
(*.f64 (/.f64 c0 V) c0) |
(*.f64 c0 (/.f64 c0 V)) |
(/.f64 (pow.f64 c0 2) V) |
(/.f64 (*.f64 c0 c0) V) |
(/.f64 c0 (/.f64 V c0)) |
(*.f64 (/.f64 c0 V) c0) |
(*.f64 c0 (/.f64 c0 V)) |
(/.f64 (pow.f64 c0 2) V) |
(/.f64 (*.f64 c0 c0) V) |
(/.f64 c0 (/.f64 V c0)) |
(*.f64 (/.f64 c0 V) c0) |
(*.f64 c0 (/.f64 c0 V)) |
(/.f64 (pow.f64 c0 2) V) |
(/.f64 (*.f64 c0 c0) V) |
(/.f64 c0 (/.f64 V c0)) |
(*.f64 (/.f64 c0 V) c0) |
(*.f64 c0 (/.f64 c0 V)) |
(/.f64 (pow.f64 c0 2) V) |
(/.f64 (*.f64 c0 c0) V) |
(/.f64 c0 (/.f64 V c0)) |
(*.f64 (/.f64 c0 V) c0) |
(*.f64 c0 (/.f64 c0 V)) |
(/.f64 (pow.f64 c0 2) V) |
(/.f64 (*.f64 c0 c0) V) |
(/.f64 c0 (/.f64 V c0)) |
(*.f64 (/.f64 c0 V) c0) |
(*.f64 c0 (/.f64 c0 V)) |
(/.f64 (pow.f64 c0 2) V) |
(/.f64 (*.f64 c0 c0) V) |
(/.f64 c0 (/.f64 V c0)) |
(*.f64 (/.f64 c0 V) c0) |
(*.f64 c0 (/.f64 c0 V)) |
(/.f64 (pow.f64 c0 2) V) |
(/.f64 (*.f64 c0 c0) V) |
(/.f64 c0 (/.f64 V c0)) |
(*.f64 (/.f64 c0 V) c0) |
(*.f64 c0 (/.f64 c0 V)) |
(/.f64 (pow.f64 c0 2) V) |
(/.f64 (*.f64 c0 c0) V) |
(/.f64 c0 (/.f64 V c0)) |
(*.f64 (/.f64 c0 V) c0) |
(*.f64 c0 (/.f64 c0 V)) |
(/.f64 (pow.f64 c0 2) V) |
(/.f64 (*.f64 c0 c0) V) |
(/.f64 c0 (/.f64 V c0)) |
(*.f64 (/.f64 c0 V) c0) |
(*.f64 c0 (/.f64 c0 V)) |
(/.f64 (pow.f64 c0 2) V) |
(/.f64 (*.f64 c0 c0) V) |
(/.f64 c0 (/.f64 V c0)) |
(*.f64 (/.f64 c0 V) c0) |
(*.f64 c0 (/.f64 c0 V)) |
(/.f64 (pow.f64 c0 2) V) |
(/.f64 (*.f64 c0 c0) V) |
(/.f64 c0 (/.f64 V c0)) |
(*.f64 (/.f64 c0 V) c0) |
(*.f64 c0 (/.f64 c0 V)) |
(/.f64 (pow.f64 c0 2) V) |
(/.f64 (*.f64 c0 c0) V) |
(/.f64 c0 (/.f64 V c0)) |
(*.f64 (/.f64 c0 V) c0) |
(*.f64 c0 (/.f64 c0 V)) |
(/.f64 (pow.f64 c0 2) V) |
(/.f64 (*.f64 c0 c0) V) |
(/.f64 c0 (/.f64 V c0)) |
(*.f64 (/.f64 c0 V) c0) |
(*.f64 c0 (/.f64 c0 V)) |
(/.f64 (pow.f64 c0 2) V) |
(/.f64 (*.f64 c0 c0) V) |
(/.f64 c0 (/.f64 V c0)) |
(*.f64 (/.f64 c0 V) c0) |
(*.f64 c0 (/.f64 c0 V)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (sqrt.f64 (/.f64 A V)) c0) |
| ✓ | 3.5b | (/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l)) |
| 14.7b | (sqrt.f64 (/.f64 A V)) |
Compiled 32 to 9 computations (71.9% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 80.0ms | c0 | @ | inf | (/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l)) |
| 1.0ms | c0 | @ | 0 | (*.f64 (sqrt.f64 (/.f64 A V)) c0) |
| 1.0ms | A | @ | -inf | (*.f64 (sqrt.f64 (/.f64 A V)) c0) |
| 1.0ms | V | @ | -inf | (*.f64 (sqrt.f64 (/.f64 A V)) c0) |
| 1.0ms | V | @ | 0 | (*.f64 (sqrt.f64 (/.f64 A V)) c0) |
| 1× | batch-egg-rewrite |
| 581× | log-prod_binary64 |
| 428× | exp-prod_binary64 |
| 366× | pow-prod-down_binary64 |
| 275× | pow2_binary64 |
| 207× | pow-unpow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 23 |
| 1 | 210 | 23 |
| 2 | 2852 | 23 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l)) |
(*.f64 (sqrt.f64 (/.f64 A V)) c0) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) c0)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) c0))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A V)) (/.f64 1 (/.f64 (sqrt.f64 l) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c0 (*.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l 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(sqrt.f64 l)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0)) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0)) (pow.f64 l -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 A V)) (neg.f64 c0)) (/.f64 1 (neg.f64 (sqrt.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 l -1/2) (*.f64 (sqrt.f64 (/.f64 A V)) c0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 A V)) 1) (/.f64 c0 (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c0 1) (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (/.f64 A V) (*.f64 c0 c0))) 1) (/.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0)) (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0)) 1) (/.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0)) (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (cbrt.f64 l)) (/.f64 c0 (pow.f64 l 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c0 (cbrt.f64 l)) (/.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 l)) (/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (pow.f64 l 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (/.f64 A V) (*.f64 c0 c0))) (cbrt.f64 l)) (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0)) (cbrt.f64 l)) (/.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0)) (pow.f64 l 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l 1/4)) (/.f64 c0 (pow.f64 l 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c0 (pow.f64 l 1/4)) (/.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 l -1/4) (/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (pow.f64 l 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (/.f64 A V) (*.f64 c0 c0))) (pow.f64 l 1/4)) (/.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0)) (pow.f64 l 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (/.f64 A V) (*.f64 c0 c0)) l) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 (/.f64 A V)) c0)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) 3) (pow.f64 l 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 (/.f64 A V)) c0)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0)))) (sqrt.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (neg.f64 (sqrt.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 (/.f64 A V) (*.f64 c0 c0)) l))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) c0))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) 3) (pow.f64 l 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 (/.f64 A V)) c0))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) c0)) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (/.f64 A 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 V)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A V))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A V))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A V))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 A V) (*.f64 c0 c0)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0))) 2)) (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0)))) (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 A V) (*.f64 c0 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A V))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A V)) 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 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l))) |
| ✓ | 0.3b | (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l)))) |
| ✓ | 7.9b | (sqrt.f64 (/.f64 (neg.f64 A) V)) |
Compiled 44 to 11 computations (75% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | V | @ | -inf | (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l))) |
| 1.0ms | A | @ | 0 | (sqrt.f64 (/.f64 (neg.f64 A) V)) |
| 1.0ms | A | @ | inf | (sqrt.f64 (/.f64 (neg.f64 A) V)) |
| 1.0ms | V | @ | 0 | (sqrt.f64 (/.f64 (neg.f64 A) V)) |
| 1.0ms | l | @ | inf | (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l)))) |
| 1× | batch-egg-rewrite |
| 606× | log-prod_binary64 |
| 373× | pow-prod-down_binary64 |
| 278× | pow2_binary64 |
| 256× | pow-unpow_binary64 |
| 197× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 37 |
| 1 | 258 | 27 |
| 2 | 3691 | 27 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (/.f64 (neg.f64 A) V)) |
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l)))) |
(/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l))) |
| 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 (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) 1/6) (cbrt.f64 (/.f64 A V)))))) (#(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 (pow.f64 1 1/2) (sqrt.f64 (/.f64 A V)))))) (#(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 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) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A V) 3) 1/6)))) (#(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 (cbrt.f64 (/.f64 A V)) 3/2)))) (#(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 (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 (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 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 +.f64 0 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))))))) (#(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 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 (/.f64 A V)) c0)))))) (#(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 (neg.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0)) (neg.f64 (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) 1) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (cbrt.f64 l)) (pow.f64 l 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (pow.f64 l 1/4)) (pow.f64 l 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 A V))) c0) (neg.f64 (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c0 (neg.f64 (sqrt.f64 (/.f64 A V)))) (neg.f64 (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))) 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 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 (/.f64 A V)) c0)) -1)))) (#(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 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))) 1)))))) |
((#(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 V)) (pow.f64 l -1/2))))) (#(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 (pow.f64 (/.f64 A (*.f64 l V)) 1/6) (cbrt.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 (cbrt.f64 (/.f64 A V)) (*.f64 (pow.f64 (/.f64 A V) 1/6) (pow.f64 l -1/2)))))) (#(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 (pow.f64 (/.f64 A V) 1/4) (*.f64 (pow.f64 (/.f64 A V) 1/4) (pow.f64 l -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 A V))) (/.f64 1 (neg.f64 (sqrt.f64 l))))))) (#(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 (/.f64 (cbrt.f64 (/.f64 A V)) 1) (/.f64 (pow.f64 (/.f64 A V) 1/6) (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 A V) 1/4) 1) (/.f64 (pow.f64 (/.f64 A V) 1/4) (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 l)) (/.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 A V)) (cbrt.f64 l)) (pow.f64 (/.f64 A (*.f64 l V)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 A V) 1/4) (cbrt.f64 l)) (/.f64 (pow.f64 (/.f64 A V) 1/4) (pow.f64 l 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 l -1/4) (/.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 A V)) (pow.f64 l 1/4)) (/.f64 (pow.f64 (/.f64 A V) 1/6) (pow.f64 l 1/4)))))) (#(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 (/.f64 A (*.f64 l V)) 1/2)))) (#(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 (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 (sqrt.f64 (/.f64 l (/.f64 A V))) -1)))) (#(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 (sqrt.f64 (/.f64 l (/.f64 A V))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 (/.f64 A V)) (neg.f64 (sqrt.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x 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 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 (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 (sqrt.f64 (/.f64 A (*.f64 l V)))) 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) |
Compiled 9353 to 3069 computations (67.2% saved)
27 alts after pruning (17 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 689 | 10 | 699 |
| Fresh | 6 | 7 | 13 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 9 | 10 |
| Total | 696 | 27 | 723 |
| Status | Error | Program |
|---|---|---|
| ✓ | 16.9b | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 17.1b | (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) | |
| 17.4b | (/.f64 1 (/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) c0)) | |
| 42.0b | (sqrt.f64 (/.f64 (*.f64 c0 (*.f64 (/.f64 c0 V) A)) l)) | |
| ✓ | 46.5b | (sqrt.f64 (/.f64 (*.f64 c0 c0) (*.f64 V (/.f64 l A)))) |
| 37.1b | (/.f64 c0 (/.f64 (sqrt.f64 (*.f64 l V)) (sqrt.f64 A))) | |
| 53.0b | (sqrt.f64 (*.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 c0 (/.f64 c0 V)) 2)) l) A)) | |
| ✓ | 18.9b | (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) |
| 27.6b | (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))) | |
| 42.7b | (sqrt.f64 (/.f64 A (*.f64 (/.f64 V c0) (/.f64 l c0)))) | |
| 37.1b | (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))) | |
| ✓ | 44.0b | (sqrt.f64 (*.f64 (/.f64 (/.f64 c0 (/.f64 V c0)) l) A)) |
| 52.2b | (/.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 (/.f64 l A))) | |
| 38.6b | (/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l))) | |
| ✓ | 51.5b | (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l)))) |
| 50.6b | (*.f64 (sqrt.f64 (/.f64 c0 (*.f64 (/.f64 V c0) l))) (sqrt.f64 A)) | |
| 16.8b | (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A))) | |
| 35.1b | (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))) | |
| ✓ | 26.1b | (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) |
| ✓ | 17.0b | (/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V))) |
| ✓ | 28.2b | (/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l)) |
| 22.3b | (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))) | |
| 33.7b | (/.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))) c0) (sqrt.f64 l)) | |
| ✓ | 17.0b | (*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A))) |
| 37.1b | (*.f64 c0 (*.f64 (pow.f64 (*.f64 l V) -1/2) (sqrt.f64 A))) | |
| ✓ | 17.4b | (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) |
| 17.0b | (*.f64 (pow.f64 (*.f64 (/.f64 l A) V) -1/2) c0) |
Compiled 368 to 254 computations (31% saved)
| Inputs |
|---|
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) |
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A))) |
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) |
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V))) |
(/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 (pow.f64 (*.f64 (/.f64 l A) V) -1/2) c0) |
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) -1/2)) |
(*.f64 c0 (pow.f64 (/.f64 (*.f64 l V) A) -1/2)) |
(*.f64 c0 (pow.f64 (*.f64 V (/.f64 l A)) -1/2)) |
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2)) |
(sqrt.f64 (/.f64 (*.f64 c0 (*.f64 (/.f64 c0 V) A)) l)) |
(sqrt.f64 (/.f64 A (*.f64 (/.f64 V c0) (/.f64 l c0)))) |
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) c0)) |
(sqrt.f64 (*.f64 A (*.f64 (/.f64 c0 l) (/.f64 c0 V)))) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 c0 (/.f64 V c0)) l) A)) |
(sqrt.f64 (*.f64 (/.f64 (*.f64 c0 c0) (*.f64 V l)) A)) |
(sqrt.f64 (/.f64 (*.f64 c0 c0) (*.f64 V (/.f64 l A)))) |
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0)) |
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 V A) l)))) |
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V))))) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0))) |
(*.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))) |
(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 l V)) (sqrt.f64 A))) |
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))) |
(/.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 (/.f64 l A))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l)) |
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l)) |
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) |
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) |
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l))) |
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) |
(*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))) |
(*.f64 c0 (*.f64 (pow.f64 (*.f64 l V) -1/2) (sqrt.f64 A))) |
(*.f64 c0 (*.f64 (pow.f64 (*.f64 V l) -1/2) (sqrt.f64 A))) |
(*.f64 c0 (sqrt.f64 (pow.f64 (/.f64 l (/.f64 A V)) -1))) |
(*.f64 (sqrt.f64 (/.f64 c0 (*.f64 (/.f64 V c0) l))) (sqrt.f64 A)) |
(/.f64 1 (/.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 (/.f64 A V)) c0))) |
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))) |
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l)))) |
(*.f64 c0 (/.f64 1 (*.f64 (sqrt.f64 (/.f64 l A)) (sqrt.f64 V)))) |
(*.f64 c0 (pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4) 2)) |
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))) |
(*.f64 c0 (*.f64 (sqrt.f64 A) (sqrt.f64 (/.f64 1 (*.f64 V l))))) |
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 2) |
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) 3)) |
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 2) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))) c0) (sqrt.f64 l)) |
(*.f64 c0 (/.f64 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))) (sqrt.f64 l))) |
(sqrt.f64 (*.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 c0 (/.f64 c0 V)) 2)) l) A)) |
(log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A l) V)))) |
(log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l)))) |
(*.f64 c0 (sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 A) 2) (*.f64 (cbrt.f64 A) (/.f64 1 (*.f64 V l)))))) |
| Outputs |
|---|
(*.f64 c0 (/.f64 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))) (sqrt.f64 l))) |
(*.f64 c0 (*.f64 (pow.f64 (*.f64 l V) -1/2) (sqrt.f64 A))) |
9 calls:
| 258.0ms | V |
| 243.0ms | c0 |
| 163.0ms | l |
| 109.0ms | (/.f64 A (*.f64 V l)) |
| 92.0ms | A |
| Error | Segments | Branch |
|---|---|---|
| 13.7b | 5 | c0 |
| 4.3b | 2 | A |
| 6.5b | 4 | V |
| 7.6b | 5 | l |
| 9.5b | 5 | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 9.5b | 3 | (sqrt.f64 (/.f64 A (*.f64 V l))) |
| 9.5b | 3 | (/.f64 A (*.f64 V l)) |
| 4.3b | 2 | (*.f64 V l) |
| 4.3b | 2 | (*.f64 V l) |
Compiled 642 to 261 computations (59.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 5e-324 |
Compiled 19 to 14 computations (26.3% saved)
| Inputs |
|---|
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) |
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A))) |
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) |
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V))) |
(/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 (pow.f64 (*.f64 (/.f64 l A) V) -1/2) c0) |
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) -1/2)) |
(*.f64 c0 (pow.f64 (/.f64 (*.f64 l V) A) -1/2)) |
(*.f64 c0 (pow.f64 (*.f64 V (/.f64 l A)) -1/2)) |
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2)) |
(sqrt.f64 (/.f64 (*.f64 c0 (*.f64 (/.f64 c0 V) A)) l)) |
(sqrt.f64 (/.f64 A (*.f64 (/.f64 V c0) (/.f64 l c0)))) |
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) c0)) |
(sqrt.f64 (*.f64 A (*.f64 (/.f64 c0 l) (/.f64 c0 V)))) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 c0 (/.f64 V c0)) l) A)) |
(sqrt.f64 (*.f64 (/.f64 (*.f64 c0 c0) (*.f64 V l)) A)) |
(sqrt.f64 (/.f64 (*.f64 c0 c0) (*.f64 V (/.f64 l A)))) |
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0)) |
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 V A) l)))) |
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V))))) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0))) |
(*.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))) |
(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 l V)) (sqrt.f64 A))) |
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))) |
(/.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 (/.f64 l A))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l)) |
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l)) |
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) |
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) |
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l))) |
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) |
(*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))) |
(*.f64 c0 (*.f64 (pow.f64 (*.f64 l V) -1/2) (sqrt.f64 A))) |
(*.f64 c0 (*.f64 (pow.f64 (*.f64 V l) -1/2) (sqrt.f64 A))) |
(*.f64 c0 (sqrt.f64 (pow.f64 (/.f64 l (/.f64 A V)) -1))) |
(*.f64 (sqrt.f64 (/.f64 c0 (*.f64 (/.f64 V c0) l))) (sqrt.f64 A)) |
(/.f64 1 (/.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 (/.f64 A V)) c0))) |
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))) |
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l)))) |
(*.f64 c0 (/.f64 1 (*.f64 (sqrt.f64 (/.f64 l A)) (sqrt.f64 V)))) |
(*.f64 c0 (pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4) 2)) |
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))) |
(*.f64 c0 (*.f64 (sqrt.f64 A) (sqrt.f64 (/.f64 1 (*.f64 V l))))) |
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 2) |
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) 3)) |
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 2) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))) c0) (sqrt.f64 l)) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))) c0) (sqrt.f64 l)) |
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))) |
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))) |
(*.f64 c0 (*.f64 (pow.f64 (*.f64 l V) -1/2) (sqrt.f64 A))) |
9 calls:
| 314.0ms | A |
| 253.0ms | V |
| 243.0ms | l |
| 215.0ms | c0 |
| 136.0ms | (*.f64 V l) |
| Error | Segments | Branch |
|---|---|---|
| 13.7b | 5 | c0 |
| 5.6b | 4 | A |
| 7.6b | 3 | V |
| 7.9b | 6 | l |
| 9.5b | 5 | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 9.5b | 3 | (sqrt.f64 (/.f64 A (*.f64 V l))) |
| 9.5b | 3 | (/.f64 A (*.f64 V l)) |
| 3.3b | 4 | (*.f64 V l) |
| 3.3b | 4 | (*.f64 V l) |
Compiled 581 to 238 computations (59% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 5e-324 |
| 0.0ms | -1.4109594290879312e-303 | -5.609504672452391e-306 |
| 0.0ms | -1.898426581945976e+294 | -4.3499933638741157e+272 |
Compiled 19 to 14 computations (26.3% saved)
| Inputs |
|---|
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) |
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A))) |
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) |
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V))) |
(/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 (pow.f64 (*.f64 (/.f64 l A) V) -1/2) c0) |
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) -1/2)) |
(*.f64 c0 (pow.f64 (/.f64 (*.f64 l V) A) -1/2)) |
(*.f64 c0 (pow.f64 (*.f64 V (/.f64 l A)) -1/2)) |
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2)) |
(sqrt.f64 (/.f64 (*.f64 c0 (*.f64 (/.f64 c0 V) A)) l)) |
(sqrt.f64 (/.f64 A (*.f64 (/.f64 V c0) (/.f64 l c0)))) |
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) c0)) |
(sqrt.f64 (*.f64 A (*.f64 (/.f64 c0 l) (/.f64 c0 V)))) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 c0 (/.f64 V c0)) l) A)) |
(sqrt.f64 (*.f64 (/.f64 (*.f64 c0 c0) (*.f64 V l)) A)) |
(sqrt.f64 (/.f64 (*.f64 c0 c0) (*.f64 V (/.f64 l A)))) |
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0)) |
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 V A) l)))) |
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V))))) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0))) |
(*.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))) |
(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 l V)) (sqrt.f64 A))) |
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))) |
(/.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 (/.f64 l A))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l)) |
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l)) |
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) |
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) |
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l))) |
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) |
(*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))) |
(*.f64 c0 (*.f64 (pow.f64 (*.f64 l V) -1/2) (sqrt.f64 A))) |
(*.f64 c0 (*.f64 (pow.f64 (*.f64 V l) -1/2) (sqrt.f64 A))) |
(*.f64 c0 (sqrt.f64 (pow.f64 (/.f64 l (/.f64 A V)) -1))) |
(*.f64 (sqrt.f64 (/.f64 c0 (*.f64 (/.f64 V c0) l))) (sqrt.f64 A)) |
(/.f64 1 (/.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 (/.f64 A V)) c0))) |
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))) |
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l)))) |
(*.f64 c0 (/.f64 1 (*.f64 (sqrt.f64 (/.f64 l A)) (sqrt.f64 V)))) |
(*.f64 c0 (pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4) 2)) |
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))) |
(*.f64 c0 (*.f64 (sqrt.f64 A) (sqrt.f64 (/.f64 1 (*.f64 V l))))) |
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 2) |
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) 3)) |
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 2) |
| Outputs |
|---|
(*.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 l (neg.f64 V))))) |
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))) |
(*.f64 c0 (*.f64 (pow.f64 (*.f64 l V) -1/2) (sqrt.f64 A))) |
9 calls:
| 230.0ms | A |
| 197.0ms | c0 |
| 157.0ms | l |
| 144.0ms | (*.f64 V l) |
| 140.0ms | (*.f64 V l) |
| Error | Segments | Branch |
|---|---|---|
| 13.7b | 5 | c0 |
| 5.5b | 5 | A |
| 7.6b | 3 | V |
| 8.5b | 6 | l |
| 9.5b | 5 | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 9.5b | 3 | (sqrt.f64 (/.f64 A (*.f64 V l))) |
| 9.5b | 3 | (/.f64 A (*.f64 V l)) |
| 3.3b | 4 | (*.f64 V l) |
| 3.3b | 4 | (*.f64 V l) |
Compiled 569 to 235 computations (58.7% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 5e-324 |
| 0.0ms | -1.4109594290879312e-303 | -5.609504672452391e-306 |
| 0.0ms | -inf | -5.948868237941477e+298 |
Compiled 19 to 14 computations (26.3% saved)
| Inputs |
|---|
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) |
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A))) |
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) |
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V))) |
(/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 (pow.f64 (*.f64 (/.f64 l A) V) -1/2) c0) |
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) -1/2)) |
(*.f64 c0 (pow.f64 (/.f64 (*.f64 l V) A) -1/2)) |
(*.f64 c0 (pow.f64 (*.f64 V (/.f64 l A)) -1/2)) |
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2)) |
(sqrt.f64 (/.f64 (*.f64 c0 (*.f64 (/.f64 c0 V) A)) l)) |
(sqrt.f64 (/.f64 A (*.f64 (/.f64 V c0) (/.f64 l c0)))) |
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) c0)) |
(sqrt.f64 (*.f64 A (*.f64 (/.f64 c0 l) (/.f64 c0 V)))) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 c0 (/.f64 V c0)) l) A)) |
(sqrt.f64 (*.f64 (/.f64 (*.f64 c0 c0) (*.f64 V l)) A)) |
(sqrt.f64 (/.f64 (*.f64 c0 c0) (*.f64 V (/.f64 l A)))) |
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0)) |
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 V A) l)))) |
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V))))) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0))) |
(*.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))) |
(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 l V)) (sqrt.f64 A))) |
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))) |
(/.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 (/.f64 l A))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l)) |
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l)) |
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) |
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) |
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l))) |
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) |
(*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))) |
(*.f64 c0 (*.f64 (pow.f64 (*.f64 l V) -1/2) (sqrt.f64 A))) |
(*.f64 c0 (*.f64 (pow.f64 (*.f64 V l) -1/2) (sqrt.f64 A))) |
(*.f64 c0 (sqrt.f64 (pow.f64 (/.f64 l (/.f64 A V)) -1))) |
(*.f64 (sqrt.f64 (/.f64 c0 (*.f64 (/.f64 V c0) l))) (sqrt.f64 A)) |
(/.f64 1 (/.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 (/.f64 A V)) c0))) |
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))) |
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l)))) |
(*.f64 c0 (/.f64 1 (*.f64 (sqrt.f64 (/.f64 l A)) (sqrt.f64 V)))) |
(*.f64 c0 (pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4) 2)) |
| Outputs |
|---|
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))) |
(*.f64 c0 (*.f64 (pow.f64 (*.f64 l V) -1/2) (sqrt.f64 A))) |
9 calls:
| 224.0ms | (*.f64 V l) |
| 137.0ms | l |
| 97.0ms | c0 |
| 78.0ms | (*.f64 V l) |
| 68.0ms | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| Error | Segments | Branch |
|---|---|---|
| 13.7b | 5 | c0 |
| 8.8b | 2 | A |
| 7.6b | 3 | V |
| 8.5b | 6 | l |
| 9.5b | 5 | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 9.5b | 3 | (sqrt.f64 (/.f64 A (*.f64 V l))) |
| 9.5b | 3 | (/.f64 A (*.f64 V l)) |
| 5.6b | 4 | (*.f64 V l) |
| 5.6b | 4 | (*.f64 V l) |
Compiled 514 to 217 computations (57.8% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 5e-324 |
| 0.0ms | -7.195098934412564e-127 | -4.006232628137006e-146 |
| 0.0ms | -5.1257343349273604e+154 | -1.9003281402929124e+152 |
Compiled 19 to 14 computations (26.3% saved)
| Inputs |
|---|
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) |
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A))) |
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) |
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V))) |
(/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 (pow.f64 (*.f64 (/.f64 l A) V) -1/2) c0) |
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) -1/2)) |
(*.f64 c0 (pow.f64 (/.f64 (*.f64 l V) A) -1/2)) |
(*.f64 c0 (pow.f64 (*.f64 V (/.f64 l A)) -1/2)) |
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2)) |
(sqrt.f64 (/.f64 (*.f64 c0 (*.f64 (/.f64 c0 V) A)) l)) |
(sqrt.f64 (/.f64 A (*.f64 (/.f64 V c0) (/.f64 l c0)))) |
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) c0)) |
(sqrt.f64 (*.f64 A (*.f64 (/.f64 c0 l) (/.f64 c0 V)))) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 c0 (/.f64 V c0)) l) A)) |
(sqrt.f64 (*.f64 (/.f64 (*.f64 c0 c0) (*.f64 V l)) A)) |
(sqrt.f64 (/.f64 (*.f64 c0 c0) (*.f64 V (/.f64 l A)))) |
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0)) |
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 V A) l)))) |
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V))))) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0))) |
(*.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))) |
(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 l V)) (sqrt.f64 A))) |
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))) |
(/.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 (/.f64 l A))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l)) |
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l)) |
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) |
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) |
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l))) |
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) |
(*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))) |
(*.f64 c0 (*.f64 (pow.f64 (*.f64 l V) -1/2) (sqrt.f64 A))) |
(*.f64 c0 (*.f64 (pow.f64 (*.f64 V l) -1/2) (sqrt.f64 A))) |
(*.f64 c0 (sqrt.f64 (pow.f64 (/.f64 l (/.f64 A V)) -1))) |
(*.f64 (sqrt.f64 (/.f64 c0 (*.f64 (/.f64 V c0) l))) (sqrt.f64 A)) |
(/.f64 1 (/.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 (/.f64 A V)) c0))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))) |
(*.f64 c0 (pow.f64 (/.f64 (*.f64 l V) A) -1/2)) |
(*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))) |
(*.f64 c0 (*.f64 (pow.f64 (*.f64 l V) -1/2) (sqrt.f64 A))) |
9 calls:
| 174.0ms | l |
| 109.0ms | V |
| 85.0ms | A |
| 70.0ms | (*.f64 V l) |
| 65.0ms | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| Error | Segments | Branch |
|---|---|---|
| 16.7b | 1 | c0 |
| 10.3b | 3 | A |
| 13.6b | 3 | V |
| 9.4b | 5 | l |
| 10.7b | 5 | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 11.5b | 3 | (sqrt.f64 (/.f64 A (*.f64 V l))) |
| 11.5b | 3 | (/.f64 A (*.f64 V l)) |
| 7.3b | 4 | (*.f64 V l) |
| 7.3b | 4 | (*.f64 V l) |
Compiled 470 to 195 computations (58.5% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 5e-324 |
| 0.0ms | -1.2312314692966667e-158 | -9.15403787317746e-159 |
| 0.0ms | -9.581790495577362e+151 | -3.420566746239034e+149 |
Compiled 19 to 14 computations (26.3% saved)
| Inputs |
|---|
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) |
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A))) |
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) |
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V))) |
(/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 (pow.f64 (*.f64 (/.f64 l A) V) -1/2) c0) |
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) -1/2)) |
(*.f64 c0 (pow.f64 (/.f64 (*.f64 l V) A) -1/2)) |
(*.f64 c0 (pow.f64 (*.f64 V (/.f64 l A)) -1/2)) |
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2)) |
(sqrt.f64 (/.f64 (*.f64 c0 (*.f64 (/.f64 c0 V) A)) l)) |
(sqrt.f64 (/.f64 A (*.f64 (/.f64 V c0) (/.f64 l c0)))) |
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) c0)) |
(sqrt.f64 (*.f64 A (*.f64 (/.f64 c0 l) (/.f64 c0 V)))) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 c0 (/.f64 V c0)) l) A)) |
(sqrt.f64 (*.f64 (/.f64 (*.f64 c0 c0) (*.f64 V l)) A)) |
(sqrt.f64 (/.f64 (*.f64 c0 c0) (*.f64 V (/.f64 l A)))) |
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0)) |
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 V A) l)))) |
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V))))) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0))) |
(*.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))) |
(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 l V)) (sqrt.f64 A))) |
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))) |
(/.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 (/.f64 l A))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l)) |
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l)) |
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) |
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) |
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l))) |
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) |
(*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))) |
(*.f64 c0 (pow.f64 (/.f64 (*.f64 l V) A) -1/2)) |
(*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))) |
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))) |
9 calls:
| 165.0ms | l |
| 145.0ms | A |
| 106.0ms | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 93.0ms | V |
| 65.0ms | (sqrt.f64 (/.f64 A (*.f64 V l))) |
| Error | Segments | Branch |
|---|---|---|
| 16.7b | 1 | c0 |
| 10.3b | 3 | A |
| 13.6b | 3 | V |
| 9.4b | 5 | l |
| 10.7b | 5 | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 11.5b | 3 | (sqrt.f64 (/.f64 A (*.f64 V l))) |
| 11.5b | 3 | (/.f64 A (*.f64 V l)) |
| 7.3b | 4 | (*.f64 V l) |
| 7.3b | 4 | (*.f64 V l) |
Compiled 418 to 176 computations (57.9% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 5e-324 |
| 0.0ms | -1.2312314692966667e-158 | -9.15403787317746e-159 |
| 0.0ms | -9.581790495577362e+151 | -3.420566746239034e+149 |
Compiled 19 to 14 computations (26.3% saved)
| Inputs |
|---|
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) |
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A))) |
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) |
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V))) |
(/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 (pow.f64 (*.f64 (/.f64 l A) V) -1/2) c0) |
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) -1/2)) |
(*.f64 c0 (pow.f64 (/.f64 (*.f64 l V) A) -1/2)) |
(*.f64 c0 (pow.f64 (*.f64 V (/.f64 l A)) -1/2)) |
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2)) |
(sqrt.f64 (/.f64 (*.f64 c0 (*.f64 (/.f64 c0 V) A)) l)) |
(sqrt.f64 (/.f64 A (*.f64 (/.f64 V c0) (/.f64 l c0)))) |
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) c0)) |
(sqrt.f64 (*.f64 A (*.f64 (/.f64 c0 l) (/.f64 c0 V)))) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 c0 (/.f64 V c0)) l) A)) |
(sqrt.f64 (*.f64 (/.f64 (*.f64 c0 c0) (*.f64 V l)) A)) |
(sqrt.f64 (/.f64 (*.f64 c0 c0) (*.f64 V (/.f64 l A)))) |
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0)) |
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 V A) l)))) |
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V))))) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0))) |
(*.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))) |
(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 l V)) (sqrt.f64 A))) |
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))) |
(/.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 (/.f64 l A))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l)) |
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l)) |
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) |
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) |
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l))) |
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) |
| Outputs |
|---|
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) |
(*.f64 c0 (pow.f64 (/.f64 (*.f64 l V) A) -1/2)) |
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) |
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))) |
9 calls:
| 220.0ms | l |
| 153.0ms | (*.f64 V l) |
| 139.0ms | (*.f64 V l) |
| 103.0ms | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 98.0ms | A |
| Error | Segments | Branch |
|---|---|---|
| 16.7b | 1 | c0 |
| 10.3b | 3 | A |
| 13.6b | 3 | V |
| 9.4b | 5 | l |
| 10.7b | 5 | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 11.5b | 3 | (sqrt.f64 (/.f64 A (*.f64 V l))) |
| 11.5b | 3 | (/.f64 A (*.f64 V l)) |
| 7.3b | 4 | (*.f64 V l) |
| 7.3b | 4 | (*.f64 V l) |
Compiled 408 to 172 computations (57.8% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 5e-324 |
| 0.0ms | -1.2312314692966667e-158 | -9.15403787317746e-159 |
| 0.0ms | -9.581790495577362e+151 | -3.420566746239034e+149 |
Compiled 19 to 14 computations (26.3% saved)
| Inputs |
|---|
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) |
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A))) |
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) |
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V))) |
(/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 (pow.f64 (*.f64 (/.f64 l A) V) -1/2) c0) |
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) -1/2)) |
(*.f64 c0 (pow.f64 (/.f64 (*.f64 l V) A) -1/2)) |
(*.f64 c0 (pow.f64 (*.f64 V (/.f64 l A)) -1/2)) |
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2)) |
(sqrt.f64 (/.f64 (*.f64 c0 (*.f64 (/.f64 c0 V) A)) l)) |
(sqrt.f64 (/.f64 A (*.f64 (/.f64 V c0) (/.f64 l c0)))) |
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) c0)) |
(sqrt.f64 (*.f64 A (*.f64 (/.f64 c0 l) (/.f64 c0 V)))) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 c0 (/.f64 V c0)) l) A)) |
(sqrt.f64 (*.f64 (/.f64 (*.f64 c0 c0) (*.f64 V l)) A)) |
(sqrt.f64 (/.f64 (*.f64 c0 c0) (*.f64 V (/.f64 l A)))) |
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0)) |
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 V A) l)))) |
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V))))) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0))) |
(*.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))) |
(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 l V)) (sqrt.f64 A))) |
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))) |
(/.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 (/.f64 l A))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l)) |
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l)) |
| Outputs |
|---|
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l)) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l)) |
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))) |
9 calls:
| 151.0ms | l |
| 115.0ms | A |
| 90.0ms | (*.f64 V l) |
| 83.0ms | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 79.0ms | V |
| Error | Segments | Branch |
|---|---|---|
| 16.7b | 1 | c0 |
| 10.8b | 4 | A |
| 13.6b | 3 | V |
| 10.3b | 5 | l |
| 10.7b | 5 | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 11.5b | 3 | (sqrt.f64 (/.f64 A (*.f64 V l))) |
| 11.5b | 3 | (/.f64 A (*.f64 V l)) |
| 7.7b | 4 | (*.f64 V l) |
| 7.7b | 4 | (*.f64 V l) |
Compiled 372 to 168 computations (54.8% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 5e-324 |
| 0.0ms | -3.6233994686396624e-176 | -8.235787243545036e-178 |
| 0.0ms | -5.546233396548946e+223 | -2.3013524500125193e+211 |
Compiled 19 to 14 computations (26.3% saved)
| Inputs |
|---|
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) |
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A))) |
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) |
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V))) |
(/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 (pow.f64 (*.f64 (/.f64 l A) V) -1/2) c0) |
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) -1/2)) |
(*.f64 c0 (pow.f64 (/.f64 (*.f64 l V) A) -1/2)) |
(*.f64 c0 (pow.f64 (*.f64 V (/.f64 l A)) -1/2)) |
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2)) |
(sqrt.f64 (/.f64 (*.f64 c0 (*.f64 (/.f64 c0 V) A)) l)) |
(sqrt.f64 (/.f64 A (*.f64 (/.f64 V c0) (/.f64 l c0)))) |
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) c0)) |
(sqrt.f64 (*.f64 A (*.f64 (/.f64 c0 l) (/.f64 c0 V)))) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 c0 (/.f64 V c0)) l) A)) |
(sqrt.f64 (*.f64 (/.f64 (*.f64 c0 c0) (*.f64 V l)) A)) |
(sqrt.f64 (/.f64 (*.f64 c0 c0) (*.f64 V (/.f64 l A)))) |
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0)) |
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 V A) l)))) |
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V))))) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0))) |
(*.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))) |
(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 l V)) (sqrt.f64 A))) |
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))) |
(/.f64 (/.f64 c0 (sqrt.f64 V)) (sqrt.f64 (/.f64 l A))) |
| Outputs |
|---|
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 (pow.f64 (*.f64 (/.f64 l A) V) -1/2) c0) |
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))) |
9 calls:
| 136.0ms | (*.f64 V l) |
| 134.0ms | l |
| 126.0ms | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 108.0ms | V |
| 96.0ms | (*.f64 V l) |
| Error | Segments | Branch |
|---|---|---|
| 16.7b | 1 | c0 |
| 12.1b | 2 | A |
| 13.6b | 3 | V |
| 12.8b | 3 | l |
| 11.2b | 5 | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 12.4b | 3 | (sqrt.f64 (/.f64 A (*.f64 V l))) |
| 12.4b | 3 | (/.f64 A (*.f64 V l)) |
| 8.8b | 4 | (*.f64 V l) |
| 8.8b | 4 | (*.f64 V l) |
Compiled 345 to 161 computations (53.3% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 5e-324 |
| 0.0ms | -1.6791243487075675e-118 | -6.57731800959792e-123 |
| 0.0ms | -inf | -5.948868237941477e+298 |
Compiled 19 to 14 computations (26.3% saved)
| Inputs |
|---|
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) |
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A))) |
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) |
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V))) |
(/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 (pow.f64 (*.f64 (/.f64 l A) V) -1/2) c0) |
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) -1/2)) |
(*.f64 c0 (pow.f64 (/.f64 (*.f64 l V) A) -1/2)) |
(*.f64 c0 (pow.f64 (*.f64 V (/.f64 l A)) -1/2)) |
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2)) |
(sqrt.f64 (/.f64 (*.f64 c0 (*.f64 (/.f64 c0 V) A)) l)) |
(sqrt.f64 (/.f64 A (*.f64 (/.f64 V c0) (/.f64 l c0)))) |
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) c0)) |
(sqrt.f64 (*.f64 A (*.f64 (/.f64 c0 l) (/.f64 c0 V)))) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 c0 (/.f64 V c0)) l) A)) |
(sqrt.f64 (*.f64 (/.f64 (*.f64 c0 c0) (*.f64 V l)) A)) |
(sqrt.f64 (/.f64 (*.f64 c0 c0) (*.f64 V (/.f64 l A)))) |
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0)) |
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 V A) l)))) |
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V))))) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0))) |
(*.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))) |
(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 l V)) (sqrt.f64 A))) |
| Outputs |
|---|
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 (pow.f64 (*.f64 (/.f64 l A) V) -1/2) c0) |
(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 l V)) (sqrt.f64 A))) |
9 calls:
| 198.0ms | V |
| 131.0ms | l |
| 119.0ms | (*.f64 V l) |
| 119.0ms | A |
| 90.0ms | (*.f64 V l) |
| Error | Segments | Branch |
|---|---|---|
| 16.7b | 1 | c0 |
| 12.2b | 2 | A |
| 14.8b | 2 | V |
| 12.8b | 3 | l |
| 11.2b | 5 | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 12.4b | 3 | (sqrt.f64 (/.f64 A (*.f64 V l))) |
| 12.4b | 3 | (/.f64 A (*.f64 V l)) |
| 8.8b | 4 | (*.f64 V l) |
| 8.8b | 4 | (*.f64 V l) |
Compiled 327 to 155 computations (52.6% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 5e-324 |
| 0.0ms | -1.6791243487075675e-118 | -6.57731800959792e-123 |
| 0.0ms | -inf | -5.948868237941477e+298 |
Compiled 19 to 14 computations (26.3% saved)
| Inputs |
|---|
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) |
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A))) |
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) |
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V))) |
(/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 (pow.f64 (*.f64 (/.f64 l A) V) -1/2) c0) |
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) -1/2)) |
(*.f64 c0 (pow.f64 (/.f64 (*.f64 l V) A) -1/2)) |
(*.f64 c0 (pow.f64 (*.f64 V (/.f64 l A)) -1/2)) |
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2)) |
(sqrt.f64 (/.f64 (*.f64 c0 (*.f64 (/.f64 c0 V) A)) l)) |
(sqrt.f64 (/.f64 A (*.f64 (/.f64 V c0) (/.f64 l c0)))) |
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 (/.f64 l A) V)) c0)) |
(sqrt.f64 (*.f64 A (*.f64 (/.f64 c0 l) (/.f64 c0 V)))) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 c0 (/.f64 V c0)) l) A)) |
(sqrt.f64 (*.f64 (/.f64 (*.f64 c0 c0) (*.f64 V l)) A)) |
(sqrt.f64 (/.f64 (*.f64 c0 c0) (*.f64 V (/.f64 l A)))) |
(/.f64 1 (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0)) |
(*.f64 c0 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 V A) l)))) |
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V))))) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0))) |
(*.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))) |
| Outputs |
|---|
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(sqrt.f64 (/.f64 (*.f64 c0 (*.f64 (/.f64 c0 V) A)) l)) |
9 calls:
| 217.0ms | (*.f64 V l) |
| 101.0ms | (*.f64 V l) |
| 95.0ms | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 57.0ms | (sqrt.f64 (/.f64 A (*.f64 V l))) |
| 50.0ms | (/.f64 A (*.f64 V l)) |
| Error | Segments | Branch |
|---|---|---|
| 16.7b | 1 | c0 |
| 16.7b | 1 | A |
| 16.7b | 1 | V |
| 16.7b | 1 | l |
| 11.2b | 5 | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 12.4b | 3 | (sqrt.f64 (/.f64 A (*.f64 V l))) |
| 12.4b | 3 | (/.f64 A (*.f64 V l)) |
| 13.2b | 4 | (*.f64 V l) |
| 13.2b | 4 | (*.f64 V l) |
Compiled 318 to 151 computations (52.5% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.895282249293728e+303 | +inf |
| 0.0ms | 7.9193713510118895e-292 | 1.0271183510674798e-272 |
| 0.0ms | -3.698125414754578e-296 | -1.4170535265820276e-296 |
| 0.0ms | -1.8945668952296556e+174 | -9.625875776968846e+162 |
Compiled 19 to 14 computations (26.3% saved)
| Inputs |
|---|
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) |
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A))) |
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) |
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V))) |
(/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 (pow.f64 (*.f64 (/.f64 l A) V) -1/2) c0) |
(*.f64 c0 (pow.f64 (/.f64 V (/.f64 A l)) -1/2)) |
(*.f64 c0 (pow.f64 (/.f64 (*.f64 l V) A) -1/2)) |
(*.f64 c0 (pow.f64 (*.f64 V (/.f64 l A)) -1/2)) |
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2)) |
| Outputs |
|---|
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) |
8 calls:
| 33.0ms | (*.f64 V l) |
| 21.0ms | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 16.0ms | (/.f64 A (*.f64 V l)) |
| 16.0ms | (sqrt.f64 (/.f64 A (*.f64 V l))) |
| 10.0ms | V |
| Error | Segments | Branch |
|---|---|---|
| 16.7b | 1 | c0 |
| 16.7b | 1 | A |
| 16.7b | 1 | V |
| 16.7b | 1 | l |
| 13.5b | 4 | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 12.6b | 3 | (sqrt.f64 (/.f64 A (*.f64 V l))) |
| 12.6b | 3 | (/.f64 A (*.f64 V l)) |
| 13.2b | 4 | (*.f64 V l) |
Compiled 171 to 90 computations (47.4% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.3810928436290035e+299 | 6.015960519002633e+304 |
| 0.0ms | 0.0 | 1.4071e-319 |
Compiled 19 to 14 computations (26.3% saved)
Total -11.1b remaining (-66.5%)
Threshold costs -11.1b (-66.5%)
| Inputs |
|---|
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) |
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A))) |
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) |
(/.f64 c0 (sqrt.f64 (*.f64 (/.f64 l A) V))) |
(/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) |
| Outputs |
|---|
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A))) |
4 calls:
| 7.0ms | V |
| 5.0ms | A |
| 5.0ms | l |
| 5.0ms | c0 |
| Error | Segments | Branch |
|---|---|---|
| 16.8b | 1 | c0 |
| 16.8b | 1 | A |
| 16.8b | 1 | V |
| 16.8b | 1 | l |
Compiled 80 to 45 computations (43.8% saved)
| 1× | egg-herbie |
| 24× | *-commutative_binary64 |
| 5× | +-commutative_binary64 |
| 5× | sub-neg_binary64 |
| 5× | neg-sub0_binary64 |
| 5× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 133 | 1031 |
| 1 | 162 | 1031 |
| 2 | 173 | 1031 |
| 3 | 181 | 1031 |
| 4 | 185 | 1031 |
| 5 | 186 | 1031 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (*.f64 V l) 0) (*.f64 c0 (/.f64 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))) (sqrt.f64 l))) (*.f64 c0 (*.f64 (pow.f64 (*.f64 l V) -1/2) (sqrt.f64 A)))) |
(if (<=.f64 (*.f64 V l) -1000000000000000066436467741248103118547156170586292454485461107376856746627884050583544890346687569804406120783567460668037744292161050890877875387371120199760770880078039125129799472606133954939884328574613293205683935969567348590731356020719265634967118123751637393518591968740451429495341056) (/.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))) c0) (sqrt.f64 l)) (if (<=.f64 (*.f64 V l) -6176826577981891/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488) (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))) (if (<=.f64 (*.f64 V l) 0) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))) (*.f64 c0 (*.f64 (pow.f64 (*.f64 l V) -1/2) (sqrt.f64 A)))))) |
(if (<=.f64 (*.f64 V l) -inf.0) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))) (if (<=.f64 (*.f64 V l) -6176826577981891/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488) (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))) (if (<=.f64 (*.f64 V l) 0) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))) (*.f64 c0 (*.f64 (pow.f64 (*.f64 l V) -1/2) (sqrt.f64 A)))))) |
(if (<=.f64 (*.f64 V l) -50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))) (if (<=.f64 (*.f64 V l) -3048582568667961/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (if (<=.f64 (*.f64 V l) 0) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))) (*.f64 c0 (*.f64 (pow.f64 (*.f64 l V) -1/2) (sqrt.f64 A)))))) |
(if (<=.f64 (*.f64 V l) -50000000000000002312554067952099737000613136197536344245944363600636276876889825461691709941101712565994831225244845295459698844758220898317376004554752) (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))) (if (<=.f64 (*.f64 V l) -4946608029462091/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272) (*.f64 c0 (pow.f64 (/.f64 (*.f64 l V) A) -1/2)) (if (<=.f64 (*.f64 V l) 0) (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))) (*.f64 c0 (*.f64 (pow.f64 (*.f64 l V) -1/2) (sqrt.f64 A)))))) |
(if (<=.f64 (*.f64 V l) -50000000000000002312554067952099737000613136197536344245944363600636276876889825461691709941101712565994831225244845295459698844758220898317376004554752) (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))) (if (<=.f64 (*.f64 V l) -4946608029462091/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272) (*.f64 c0 (pow.f64 (/.f64 (*.f64 l V) A) -1/2)) (if (<=.f64 (*.f64 V l) 0) (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))))) |
(if (<=.f64 (*.f64 V l) -50000000000000002312554067952099737000613136197536344245944363600636276876889825461691709941101712565994831225244845295459698844758220898317376004554752) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) (if (<=.f64 (*.f64 V l) -4946608029462091/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272) (*.f64 c0 (pow.f64 (/.f64 (*.f64 l V) A) -1/2)) (if (<=.f64 (*.f64 V l) 0) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))))) |
(if (<=.f64 (*.f64 V l) -49999999999999998477451758974159751046482403622374605607421237630054847441436856676344327287652542857018591204612420567252946440591689353040126624759541451965054047394820266694175773042474003475163007869396334450282260856832) (/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l)) (if (<=.f64 (*.f64 V l) -178220336625867/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (if (<=.f64 (*.f64 V l) 0) (/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l)) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))))) |
(if (<=.f64 (*.f64 V l) -inf.0) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) (if (<=.f64 (*.f64 V l) -4542742026847543/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (if (<=.f64 (*.f64 V l) 0) (*.f64 (pow.f64 (*.f64 (/.f64 l A) V) -1/2) c0) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))))) |
(if (<=.f64 (*.f64 V l) -inf.0) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) (if (<=.f64 (*.f64 V l) -4542742026847543/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (if (<=.f64 (*.f64 V l) 0) (*.f64 (pow.f64 (*.f64 (/.f64 l A) V) -1/2) c0) (/.f64 c0 (/.f64 (sqrt.f64 (*.f64 l V)) (sqrt.f64 A)))))) |
(if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) -1000000000000000068957567536844582937679826098352437099093782830596656320642208754566186799616905285426599982929417458880300383900478261195703581718577367397759832385751351296) (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) (if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) -3681675540198023/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) 5617791046444737/5617791046444737211654078721215702292556178059194708039794690036179146118921905097897139916325235500660003558745981042426837180275450519452901482207483566386805246669527046414884444362538940441232908842252656430276192208823201965046059784704400851161354703458893321819998351435577491134526104885300757004288) (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) (if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) 4999999999999999696267762527682310930020143610058662476595385785661602281506616951421654628720253874218428059028081086289358596871318015265117899420433441387493650720841005520533855126581220452921859901274275799538319841275410916329774556134803974902673017459331286203203802190422979931037452174069071872) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (sqrt.f64 (/.f64 (*.f64 c0 (*.f64 (/.f64 c0 V) A)) l)))))) |
(if (<=.f64 (/.f64 A (*.f64 V l)) 0) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) (if (<=.f64 (/.f64 A (*.f64 V l)) 500000000000000026252380127602210124352234290554079577457927057755901228994454097893185687540223932021852221916441939088471261617680215287822396092393353491424193600463287901868915116897394045029684476617485399972540559519483820440037326371390071247289629394410028421419057834736098193432729700270080) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))))) |
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A))) |
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) |
| Outputs |
|---|
(if (<=.f64 (*.f64 V l) 0) (*.f64 c0 (/.f64 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))) (sqrt.f64 l))) (*.f64 c0 (*.f64 (pow.f64 (*.f64 l V) -1/2) (sqrt.f64 A)))) |
(if (<=.f64 (*.f64 V l) 0) (*.f64 c0 (/.f64 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))) (sqrt.f64 l))) (*.f64 c0 (*.f64 (pow.f64 (*.f64 V l) -1/2) (sqrt.f64 A)))) |
(if (<=.f64 (*.f64 V l) -1000000000000000066436467741248103118547156170586292454485461107376856746627884050583544890346687569804406120783567460668037744292161050890877875387371120199760770880078039125129799472606133954939884328574613293205683935969567348590731356020719265634967118123751637393518591968740451429495341056) (/.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))) c0) (sqrt.f64 l)) (if (<=.f64 (*.f64 V l) -6176826577981891/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488) (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))) (if (<=.f64 (*.f64 V l) 0) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))) (*.f64 c0 (*.f64 (pow.f64 (*.f64 l V) -1/2) (sqrt.f64 A)))))) |
(if (<=.f64 (*.f64 V l) -1000000000000000066436467741248103118547156170586292454485461107376856746627884050583544890346687569804406120783567460668037744292161050890877875387371120199760770880078039125129799472606133954939884328574613293205683935969567348590731356020719265634967118123751637393518591968740451429495341056) (/.f64 (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V)))) (sqrt.f64 l)) (if (<=.f64 (*.f64 V l) -6176826577981891/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488) (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))) (if (<=.f64 (*.f64 V l) 0) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))) (*.f64 c0 (*.f64 (pow.f64 (*.f64 V l) -1/2) (sqrt.f64 A)))))) |
(if (<=.f64 (*.f64 V l) -1000000000000000066436467741248103118547156170586292454485461107376856746627884050583544890346687569804406120783567460668037744292161050890877875387371120199760770880078039125129799472606133954939884328574613293205683935969567348590731356020719265634967118123751637393518591968740451429495341056) (/.f64 (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V)))) (sqrt.f64 l)) (if (<=.f64 (*.f64 V l) -6176826577981891/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488) (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 V (neg.f64 l))))) (if (<=.f64 (*.f64 V l) 0) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))) (*.f64 c0 (*.f64 (pow.f64 (*.f64 V l) -1/2) (sqrt.f64 A)))))) |
(if (<=.f64 (*.f64 V l) -inf.0) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))) (if (<=.f64 (*.f64 V l) -6176826577981891/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488) (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))) (if (<=.f64 (*.f64 V l) 0) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))) (*.f64 c0 (*.f64 (pow.f64 (*.f64 l V) -1/2) (sqrt.f64 A)))))) |
(if (<=.f64 (*.f64 V l) -inf.0) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))) (if (<=.f64 (*.f64 V l) -6176826577981891/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488) (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))) (if (<=.f64 (*.f64 V l) 0) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))) (*.f64 c0 (*.f64 (pow.f64 (*.f64 V l) -1/2) (sqrt.f64 A)))))) |
(if (<=.f64 (*.f64 V l) -inf.0) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))) (if (<=.f64 (*.f64 V l) -6176826577981891/6176826577981891429214335532193521333299458305790469920559733826520701280761576748411876944013584121557222835214746457256769065471978560695404461668113357846725995613908885539687100455996497080726311269484641878313049544782247701984195048695347886851221010025401573777842206256568313675909006576801941109109732291903488) (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 V (neg.f64 l))))) (if (<=.f64 (*.f64 V l) 0) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))) (*.f64 c0 (*.f64 (pow.f64 (*.f64 V l) -1/2) (sqrt.f64 A)))))) |
(if (<=.f64 (*.f64 V l) -50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))) (if (<=.f64 (*.f64 V l) -3048582568667961/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (if (<=.f64 (*.f64 V l) 0) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))) (*.f64 c0 (*.f64 (pow.f64 (*.f64 l V) -1/2) (sqrt.f64 A)))))) |
(if (<=.f64 (*.f64 V l) -50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))) (if (<=.f64 (*.f64 V l) -3048582568667961/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (if (<=.f64 (*.f64 V l) 0) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))) (*.f64 c0 (*.f64 (pow.f64 (*.f64 V l) -1/2) (sqrt.f64 A)))))) |
(if (<=.f64 (*.f64 V l) -50000000000000002312554067952099737000613136197536344245944363600636276876889825461691709941101712565994831225244845295459698844758220898317376004554752) (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))) (if (<=.f64 (*.f64 V l) -4946608029462091/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272) (*.f64 c0 (pow.f64 (/.f64 (*.f64 l V) A) -1/2)) (if (<=.f64 (*.f64 V l) 0) (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))) (*.f64 c0 (*.f64 (pow.f64 (*.f64 l V) -1/2) (sqrt.f64 A)))))) |
(if (<=.f64 (*.f64 V l) -50000000000000002312554067952099737000613136197536344245944363600636276876889825461691709941101712565994831225244845295459698844758220898317376004554752) (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))) (if (<=.f64 (*.f64 V l) -4946608029462091/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272) (*.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) -1/2)) (if (<=.f64 (*.f64 V l) 0) (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))) (*.f64 c0 (*.f64 (pow.f64 (*.f64 V l) -1/2) (sqrt.f64 A)))))) |
(if (<=.f64 (*.f64 V l) -50000000000000002312554067952099737000613136197536344245944363600636276876889825461691709941101712565994831225244845295459698844758220898317376004554752) (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))) (if (<=.f64 (*.f64 V l) -4946608029462091/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272) (*.f64 c0 (pow.f64 (/.f64 (*.f64 l V) A) -1/2)) (if (<=.f64 (*.f64 V l) 0) (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))))) |
(if (<=.f64 (*.f64 V l) -50000000000000002312554067952099737000613136197536344245944363600636276876889825461691709941101712565994831225244845295459698844758220898317376004554752) (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))) (if (<=.f64 (*.f64 V l) -4946608029462091/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272) (*.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) -1/2)) (if (<=.f64 (*.f64 V l) 0) (*.f64 (sqrt.f64 (/.f64 A V)) (*.f64 c0 (pow.f64 l -1/2))) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))))) |
(if (<=.f64 (*.f64 V l) -50000000000000002312554067952099737000613136197536344245944363600636276876889825461691709941101712565994831225244845295459698844758220898317376004554752) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) (if (<=.f64 (*.f64 V l) -4946608029462091/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272) (*.f64 c0 (pow.f64 (/.f64 (*.f64 l V) A) -1/2)) (if (<=.f64 (*.f64 V l) 0) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))))) |
(if (<=.f64 (*.f64 V l) -50000000000000002312554067952099737000613136197536344245944363600636276876889825461691709941101712565994831225244845295459698844758220898317376004554752) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) (if (<=.f64 (*.f64 V l) -4946608029462091/494660802946209068121005042039294380070262698202423679828126112185794450213063734340632802122486089979195342852032278678702730068613502419935092310203786335833213544297398272) (*.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) -1/2)) (if (<=.f64 (*.f64 V l) 0) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))))) |
(if (<=.f64 (*.f64 V l) -49999999999999998477451758974159751046482403622374605607421237630054847441436856676344327287652542857018591204612420567252946440591689353040126624759541451965054047394820266694175773042474003475163007869396334450282260856832) (/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l)) (if (<=.f64 (*.f64 V l) -178220336625867/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (if (<=.f64 (*.f64 V l) 0) (/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l)) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))))) |
(if (<=.f64 (*.f64 V l) -49999999999999998477451758974159751046482403622374605607421237630054847441436856676344327287652542857018591204612420567252946440591689353040126624759541451965054047394820266694175773042474003475163007869396334450282260856832) (/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l)) (if (<=.f64 (*.f64 V l) -178220336625867/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (if (<=.f64 (*.f64 V l) 0) (/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l)) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))))) |
(if (<=.f64 (*.f64 V l) -inf.0) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) (if (<=.f64 (*.f64 V l) -4542742026847543/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (if (<=.f64 (*.f64 V l) 0) (*.f64 (pow.f64 (*.f64 (/.f64 l A) V) -1/2) c0) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))))))) |
(if (<=.f64 (*.f64 V l) -inf.0) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) (if (<=.f64 (*.f64 V l) -4542742026847543/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (if (<=.f64 (*.f64 V l) 0) (*.f64 c0 (pow.f64 (*.f64 V (/.f64 l A)) -1/2)) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))))) |
(if (<=.f64 (*.f64 V l) -inf.0) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) (if (<=.f64 (*.f64 V l) -4542742026847543/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (if (<=.f64 (*.f64 V l) 0) (*.f64 (pow.f64 (*.f64 (/.f64 l A) V) -1/2) c0) (/.f64 c0 (/.f64 (sqrt.f64 (*.f64 l V)) (sqrt.f64 A)))))) |
(if (<=.f64 (*.f64 V l) -inf.0) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) (if (<=.f64 (*.f64 V l) -4542742026847543/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (if (<=.f64 (*.f64 V l) 0) (*.f64 c0 (pow.f64 (*.f64 V (/.f64 l A)) -1/2)) (/.f64 c0 (/.f64 (sqrt.f64 (*.f64 V l)) (sqrt.f64 A)))))) |
(if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) -1000000000000000068957567536844582937679826098352437099093782830596656320642208754566186799616905285426599982929417458880300383900478261195703581718577367397759832385751351296) (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) (if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) -3681675540198023/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) 5617791046444737/5617791046444737211654078721215702292556178059194708039794690036179146118921905097897139916325235500660003558745981042426837180275450519452901482207483566386805246669527046414884444362538940441232908842252656430276192208823201965046059784704400851161354703458893321819998351435577491134526104885300757004288) (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) (if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) 4999999999999999696267762527682310930020143610058662476595385785661602281506616951421654628720253874218428059028081086289358596871318015265117899420433441387493650720841005520533855126581220452921859901274275799538319841275410916329774556134803974902673017459331286203203802190422979931037452174069071872) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (sqrt.f64 (/.f64 (*.f64 c0 (*.f64 (/.f64 c0 V) A)) l)))))) |
(if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) -1000000000000000068957567536844582937679826098352437099093782830596656320642208754566186799616905285426599982929417458880300383900478261195703581718577367397759832385751351296) (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) (if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) -3681675540198023/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) 5617791046444737/5617791046444737211654078721215702292556178059194708039794690036179146118921905097897139916325235500660003558745981042426837180275450519452901482207483566386805246669527046414884444362538940441232908842252656430276192208823201965046059784704400851161354703458893321819998351435577491134526104885300757004288) (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) (if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) 4999999999999999696267762527682310930020143610058662476595385785661602281506616951421654628720253874218428059028081086289358596871318015265117899420433441387493650720841005520533855126581220452921859901274275799538319841275410916329774556134803974902673017459331286203203802190422979931037452174069071872) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (sqrt.f64 (/.f64 (*.f64 c0 (*.f64 A (/.f64 c0 V))) l)))))) |
(if (<=.f64 (/.f64 A (*.f64 V l)) 0) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) (if (<=.f64 (/.f64 A (*.f64 V l)) 500000000000000026252380127602210124352234290554079577457927057755901228994454097893185687540223932021852221916441939088471261617680215287822396092393353491424193600463287901868915116897394045029684476617485399972540559519483820440037326371390071247289629394410028421419057834736098193432729700270080) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))))) |
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A))) |
(/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))) |
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) |
Compiled 731 to 359 computations (50.9% saved)
Compiled 811 to 281 computations (65.4% saved)
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