Time bar (total: 12.3s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.8% | 0.2% | 0 |
| 0% | 99.8% | 0.2% | 1 |
| 0% | 99.8% | 0.2% | 2 |
| 0% | 99.8% | 0.2% | 3 |
| 0% | 99.8% | 0.2% | 4 |
| 0% | 99.8% | 0.2% | 5 |
| 0% | 99.8% | 0.2% | 6 |
| 0% | 99.8% | 0.2% | 7 |
| 3.1% | 96.7% | 0.2% | 8 |
| 6.2% | 92% | 1.8% | 9 |
| 8.2% | 90.1% | 1.8% | 10 |
| 13.3% | 84.2% | 2.5% | 11 |
| 16.2% | 74.7% | 9.2% | 12 |
Compiled 13 to 9 computations (30.8% saved)
| 1.5s | 8256× | body | 256 | valid |
| 1.2s | 8468× | 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 |
|---|---|---|
| ▶ | 16.5b | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
Compiled 12 to 8 computations (33.3% saved)
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 13.8b | (sqrt.f64 (/.f64 A (*.f64 V l))) | |
| 4.0b | (/.f64 A (*.f64 V l)) | |
| 1.0b | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) | |
| ✓ | 1.0b | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| ✓ | 4.0b | (/.f64 A (*.f64 V l)) |
| ✓ | 13.8b | (sqrt.f64 (/.f64 A (*.f64 V l))) |
Compiled 30 to 8 computations (73.3% saved)
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | V | @ | 0 | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 2.0ms | c0 | @ | inf | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 2.0ms | V | @ | inf | (sqrt.f64 (/.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× | 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 | 2455 | 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 exp.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(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 -.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 exp.f64 (log.f64 (/.f64 (/.f64 A V) l)))))) (#(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 -.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 exp.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)))))) (#(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))))))) |
| 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)
19 alts after pruning (18 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 73 | 18 | 91 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 73 | 19 | 92 |
| Status | Error | Program |
|---|---|---|
| 37.5b | (/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 V l))) | |
| 19.4b | (*.f64 c0 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) 3)) | |
| ✓ | 16.5b | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 49.7b | (cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2) (pow.f64 c0 3))) | |
| 36.5b | (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) | |
| 48.8b | (sqrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0))) | |
| ▶ | 26.3b | (*.f64 c0 (cbrt.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2))) |
| 38.5b | (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 2) | |
| 18.9b | (*.f64 c0 (sqrt.f64 (pow.f64 (/.f64 l (/.f64 A V)) -1))) | |
| ▶ | 16.9b | (*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A))) |
| ▶ | 18.7b | (*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2)) |
| ▶ | 25.3b | (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) |
| 38.4b | (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))) | |
| 36.5b | (*.f64 c0 (/.f64 1 (/.f64 (sqrt.f64 (*.f64 V l)) (sqrt.f64 A)))) | |
| 18.7b | (*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V))))) | |
| 56.9b | (log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l)))) | |
| ▶ | 19.4b | (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 3) |
| 36.5b | (*.f64 c0 (*.f64 (sqrt.f64 A) (/.f64 1 (sqrt.f64 (*.f64 V l))))) | |
| 19.1b | (*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))) |
Compiled 524 to 374 computations (28.6% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 13.8b | (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A)) | |
| 4.4b | (*.f64 (/.f64 1 (*.f64 V l)) A) | |
| 1.0b | (*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A))) | |
| 0.2b | (/.f64 1 (*.f64 V l)) | |
| ✓ | 0.2b | (/.f64 1 (*.f64 V l)) |
| ✓ | 1.0b | (*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A))) |
| ✓ | 4.4b | (*.f64 (/.f64 1 (*.f64 V l)) A) |
| ✓ | 13.8b | (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A)) |
Compiled 42 to 20 computations (52.4% saved)
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | V | @ | 0 | (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A)) |
| 1.0ms | A | @ | inf | (*.f64 (/.f64 1 (*.f64 V l)) A) |
| 0.0ms | V | @ | inf | (*.f64 (/.f64 1 (*.f64 V l)) A) |
| 0.0ms | l | @ | 0 | (/.f64 1 (*.f64 V l)) |
| 0.0ms | V | @ | 0 | (/.f64 1 (*.f64 V l)) |
| 1× | batch-egg-rewrite |
| 549× | log-prod_binary64 |
| 474× | prod-exp_binary64 |
| 408× | exp-prod_binary64 |
| 368× | pow-prod-down_binary64 |
| 268× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 35 |
| 1 | 219 | 35 |
| 2 | 2664 | 35 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A)) |
(*.f64 (/.f64 1 (*.f64 V l)) A) |
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A))) |
(/.f64 1 (*.f64 V l)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 A (*.f64 V l))) (pow.f64 (/.f64 A (*.f64 V l)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/6) (cbrt.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/4) (pow.f64 (/.f64 A (*.f64 V l)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.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 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 (E.f64) (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 A (*.f64 V l))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))) (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (/.f64 A (*.f64 V l)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (/.f64 A (*.f64 V l)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x 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 +.f64 0 (/.f64 A (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 A (*.f64 V l)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 A (*.f64 V l))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 A (*.f64 V l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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 V (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 A l) V)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 A V) l)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 A (sqrt.f64 (*.f64 V l))) (sqrt.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 A 1) (*.f64 V l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 A (pow.f64 (cbrt.f64 (*.f64 V l)) 2)) (cbrt.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 A) (*.f64 V (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 V) A) l)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 A -1) (*.f64 V (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 A (/.f64 1 V)) l)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 A (*.f64 V l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 A (*.f64 V l))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 A 3) (pow.f64 (*.f64 V l) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 V l) A) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 A (*.f64 V l)))) 2)) (cbrt.f64 (log.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 A (*.f64 V l))))) (sqrt.f64 (log.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 A (*.f64 V l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 A 3) (pow.f64 (*.f64 V l) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 A (*.f64 V l)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 A (*.f64 V l)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 A (*.f64 V l)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 A) 1) (log.f64 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 A) (*.f64 (log.f64 (*.f64 V l)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 A) 1) (*.f64 (log.f64 (*.f64 V l)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 V l)) -1) (log.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 (*.f64 V l))) 1) (log.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (*.f64 (log.f64 A) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 V l)) -1) (*.f64 (log.f64 A) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 (*.f64 V l))) 1) (*.f64 (log.f64 A) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 A) 1) (neg.f64 (log.f64 (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 A) (*.f64 (log.f64 (*.f64 V l)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 A) 1) (*.f64 (log.f64 (*.f64 V l)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 A) (*.f64 (neg.f64 (log.f64 (*.f64 V l))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 A) 1) (*.f64 (neg.f64 (log.f64 (*.f64 V l))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1/2) (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1) (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1/2) (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1) (*.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)))) (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1/2) (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1) (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 A (*.f64 V l)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 2)) (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))) (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x 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 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1/2) (log.f64 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1) (log.f64 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) (*.f64 (log.f64 c0) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 A (*.f64 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 A (*.f64 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 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 c0) (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 c0) 1) (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 c0) (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 c0) 1) (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1)))))) (#(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 +.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 (cbrt.f64 (/.f64 (/.f64 1 V) l)) (cbrt.f64 (pow.f64 (*.f64 V l) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 V l) -2)) (cbrt.f64 (/.f64 (/.f64 1 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 V (neg.f64 l))))))) (#(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) (cbrt.f64 (/.f64 (/.f64 1 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 (cbrt.f64 (/.f64 (/.f64 1 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 V (neg.f64 l))) -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 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 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))))))) |
| 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 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 13.8b | (pow.f64 (/.f64 (/.f64 A V) l) 1/2) | |
| 6.3b | (/.f64 (/.f64 A V) l) | |
| 1.0b | (*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2)) | |
| ✓ | 1.0b | (*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2)) |
| ✓ | 6.3b | (/.f64 (/.f64 A V) l) |
| ✓ | 13.8b | (pow.f64 (/.f64 (/.f64 A V) l) 1/2) |
Compiled 33 to 12 computations (63.6% saved)
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | c0 | @ | 0 | (*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2)) |
| 1.0ms | V | @ | -inf | (*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2)) |
| 1.0ms | V | @ | -inf | (pow.f64 (/.f64 (/.f64 A V) l) 1/2) |
| 1.0ms | l | @ | -inf | (*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2)) |
| 1.0ms | A | @ | -inf | (pow.f64 (/.f64 (/.f64 A V) l) 1/2) |
| 1× | batch-egg-rewrite |
| 561× | log-prod_binary64 |
| 418× | exp-prod_binary64 |
| 356× | 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 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 (pow.f64 (/.f64 A (*.f64 V l)) 1/6) (cbrt.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 A (*.f64 V l))) (pow.f64 (/.f64 A (*.f64 V l)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/4) (pow.f64 (/.f64 A (*.f64 V l)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (*.f64 (/.f64 l 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 sqrt.f64 (/.f64 A (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (/.f64 A (*.f64 V l)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 A (*.f64 V l)))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1/4) 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 +.f64 0 (/.f64 A (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 A (*.f64 V l)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 A (*.f64 V l))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 A (*.f64 V l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 A (/.f64 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 A (*.f64 V l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) (sqrt.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 A (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 A (*.f64 V l))) (pow.f64 (cbrt.f64 (/.f64 A (*.f64 V l))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 A (*.f64 V l))) 2) (cbrt.f64 (/.f64 A (*.f64 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 A (*.f64 V l)) 1/4) (pow.f64 (/.f64 A (*.f64 V l)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3/4) (pow.f64 (/.f64 A (*.f64 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 (pow.f64 (cbrt.f64 A) 2) l) (/.f64 (cbrt.f64 A) V))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 A) l) (/.f64 (sqrt.f64 A) V))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 A 1) (/.f64 (/.f64 1 V) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 A V)) 2) 1) (/.f64 (cbrt.f64 (/.f64 A V)) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 A V)) 1) (/.f64 (sqrt.f64 (/.f64 A V)) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 A (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)) (cbrt.f64 (/.f64 A (*.f64 V 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 (pow.f64 (/.f64 A (*.f64 V l)) 5/6) (pow.f64 (/.f64 A (*.f64 V l)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 A (*.f64 V l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 A (*.f64 V l))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 l A) V) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 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 (/.f64 l A) V) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 A (*.f64 V l)))) 2)) (cbrt.f64 (log.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 A (*.f64 V l))))) (sqrt.f64 (log.f64 (/.f64 A (*.f64 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 A (*.f64 V l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 A V) 3) (pow.f64 l 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 A (*.f64 V l)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 A (*.f64 V l)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 l A) V)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 A (*.f64 V l)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.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 (sqrt.f64 (/.f64 A (*.f64 V l)))) c0)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) c0))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 2)) (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))) (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) c0))))) (#(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 exp.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))) |
| 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 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 12.5b | (sqrt.f64 (/.f64 A V)) | |
| 0.6b | (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) | |
| 0.2b | (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) | |
| ✓ | 0.2b | (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) |
| ✓ | 0.6b | (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) |
| ✓ | 12.5b | (sqrt.f64 (/.f64 A V)) |
Compiled 33 to 9 computations (72.7% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | V | @ | -inf | (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) |
| 4.0ms | l | @ | -inf | (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) |
| 1.0ms | A | @ | 0 | (sqrt.f64 (/.f64 A V)) |
| 1.0ms | l | @ | -inf | (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l)) |
| 1.0ms | A | @ | -inf | (sqrt.f64 (/.f64 A V)) |
| 1× | batch-egg-rewrite |
| 575× | log-prod_binary64 |
| 419× | exp-prod_binary64 |
| 379× | 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 | 2872 | 27 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (/.f64 A V)) |
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) |
(/.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 exp.f64 (log.f64 (sqrt.f64 (/.f64 A V))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 A V)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A V))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (/.f64 A V))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 A V) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (/.f64 A V))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 A V)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 A V)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A V))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x 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 +.f64 0 (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A 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 l (/.f64 A 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 l (/.f64 A 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 l (/.f64 A V)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V))))))))) (#(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 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))))) 2)) (cbrt.f64 (log.f64 (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V))))))) (sqrt.f64 (log.f64 (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))))))))) (#(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 l (/.f64 A V)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V))))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))))))))) |
((#(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 V) 1/4) (*.f64 (pow.f64 (/.f64 A V) 1/4) (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 (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)) (cbrt.f64 l)) (pow.f64 (/.f64 A (*.f64 l V)) 1/6))))) (#(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 (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 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 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))))))))) |
| 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 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 25.7b | (cbrt.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2)) | |
| 6.3b | (/.f64 (/.f64 A V) l) | |
| 1.0b | (*.f64 c0 (cbrt.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2))) | |
| 0.2b | (pow.f64 (/.f64 (/.f64 A V) l) 3/2) | |
| ✓ | 0.2b | (pow.f64 (/.f64 (/.f64 A V) l) 3/2) |
| ✓ | 1.0b | (*.f64 c0 (cbrt.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2))) |
| 6.3b | (/.f64 (/.f64 A V) l) | |
| ✓ | 25.7b | (cbrt.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2)) |
Compiled 42 to 16 computations (61.9% saved)
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 34.0ms | V | @ | -inf | (pow.f64 (/.f64 (/.f64 A V) l) 3/2) |
| 34.0ms | A | @ | 0 | (pow.f64 (/.f64 (/.f64 A V) l) 3/2) |
| 29.0ms | l | @ | 0 | (pow.f64 (/.f64 (/.f64 A V) l) 3/2) |
| 21.0ms | A | @ | -inf | (pow.f64 (/.f64 (/.f64 A V) l) 3/2) |
| 14.0ms | l | @ | -inf | (pow.f64 (/.f64 (/.f64 A V) l) 3/2) |
| 1× | batch-egg-rewrite |
| 588× | log-prod_binary64 |
| 366× | pow-prod-down_binary64 |
| 298× | pow2_binary64 |
| 209× | pow1/3_binary64 |
| 205× | pow-unpow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 37 |
| 1 | 235 | 31 |
| 2 | 3094 | 31 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2)) |
(*.f64 c0 (cbrt.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2))) |
(pow.f64 (/.f64 (/.f64 A V) l) 3/2) |
| 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 (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 (/.f64 A V)) (sqrt.f64 (/.f64 1 l)))))) (#(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 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 pow.f64 (/.f64 (/.f64 A V) l) 1/2)))) (#(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 (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) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 9/2) 1/9)))) (#(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) 1/6) 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 (cbrt.f64 (/.f64 (/.f64 A V) l)) 2) 3/4)))) (#(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 (*.f64 l (/.f64 V A)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/4) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 l (/.f64 V A))) -1)))) (#(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 exp.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(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 (sqrt.f64 (/.f64 (/.f64 A V) l))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)))) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 A V) l))) 3/2))))) (#(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 (pow.f64 (/.f64 (/.f64 A V) l) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4)) 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 (*.f64 3/2 (log.f64 (/.f64 (/.f64 A V) l))) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3/2 (log.f64 (/.f64 (/.f64 A V) l))) 1/3) 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 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 +.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 (*.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 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 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 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 +.f64 0 (pow.f64 (/.f64 (/.f64 A V) l) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 A V) l) (sqrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) (/.f64 (/.f64 A V) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (/.f64 A V) l) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/4) (pow.f64 (/.f64 (/.f64 A V) l) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A V) 3/2) (pow.f64 l -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) 4) (pow.f64 (/.f64 (/.f64 A V) l) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) 5/2) (pow.f64 (/.f64 (/.f64 A V) l) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 A V) l) 9/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3/2 (log.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (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))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 A V) l) 9/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 A V) l) 2)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/4 (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) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3/2 (log.f64 (/.f64 (/.f64 A V) l))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3/2 (log.f64 (/.f64 (/.f64 A V) l))) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 A V) l)) 3/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2))))))) |
| 1× | egg-herbie |
| 709× | fma-def_binary64 |
| 473× | exp-sum_binary64 |
| 436× | fma-neg_binary64 |
| 352× | div-sub_binary64 |
| 294× | exp-diff_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 792 |
| 1 | 181 | 720 |
| 2 | 447 | 612 |
| 3 | 1191 | 504 |
| 4 | 3220 | 504 |
| 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 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A)))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A)))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A)))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A)))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A)))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A)))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A)))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A)))))) |
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 A))) (log.f64 (/.f64 -1 (*.f64 V l)))))) |
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 A))) (log.f64 (/.f64 -1 (*.f64 V l)))))) |
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 A))) (log.f64 (/.f64 -1 (*.f64 V l)))))) |
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 A))) (log.f64 (/.f64 -1 (*.f64 V l)))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (*.f64 -1 (/.f64 A l)))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (*.f64 -1 (/.f64 A l)))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (*.f64 -1 (/.f64 A l)))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (*.f64 -1 (/.f64 A l)))))) |
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V))))) |
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V))))) |
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V))))) |
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (*.f64 -1 (/.f64 A V)))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (*.f64 -1 (/.f64 A V)))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (*.f64 -1 (/.f64 A V)))))) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (*.f64 -1 (/.f64 A V)))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A)))) |
(pow.f64 (exp.f64 3/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))) |
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))) |
(*.f64 (pow.f64 (/.f64 A l) 3/2) (pow.f64 V -3/2)) |
(pow.f64 (/.f64 (/.f64 A l) V) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A)))) |
(pow.f64 (exp.f64 3/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))) |
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))) |
(*.f64 (pow.f64 (/.f64 A l) 3/2) (pow.f64 V -3/2)) |
(pow.f64 (/.f64 (/.f64 A l) V) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A)))) |
(pow.f64 (exp.f64 3/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))) |
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))) |
(*.f64 (pow.f64 (/.f64 A l) 3/2) (pow.f64 V -3/2)) |
(pow.f64 (/.f64 (/.f64 A l) V) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A)))) |
(pow.f64 (exp.f64 3/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))) |
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))) |
(*.f64 (pow.f64 (/.f64 A l) 3/2) (pow.f64 V -3/2)) |
(pow.f64 (/.f64 (/.f64 A l) V) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A)))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))) |
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))) |
(*.f64 (pow.f64 (/.f64 A l) 3/2) (pow.f64 V -3/2)) |
(pow.f64 (/.f64 (/.f64 A l) V) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A)))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))) |
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))) |
(*.f64 (pow.f64 (/.f64 A l) 3/2) (pow.f64 V -3/2)) |
(pow.f64 (/.f64 (/.f64 A l) V) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A)))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))) |
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))) |
(*.f64 (pow.f64 (/.f64 A l) 3/2) (pow.f64 V -3/2)) |
(pow.f64 (/.f64 (/.f64 A l) V) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A)))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))) |
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))) |
(*.f64 (pow.f64 (/.f64 A l) 3/2) (pow.f64 V -3/2)) |
(pow.f64 (/.f64 (/.f64 A l) V) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 A))) (log.f64 (/.f64 -1 (*.f64 V l)))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))) |
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))) |
(*.f64 (pow.f64 (/.f64 A l) 3/2) (pow.f64 V -3/2)) |
(pow.f64 (/.f64 (/.f64 A l) V) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 A))) (log.f64 (/.f64 -1 (*.f64 V l)))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))) |
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))) |
(*.f64 (pow.f64 (/.f64 A l) 3/2) (pow.f64 V -3/2)) |
(pow.f64 (/.f64 (/.f64 A l) V) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 A))) (log.f64 (/.f64 -1 (*.f64 V l)))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))) |
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))) |
(*.f64 (pow.f64 (/.f64 A l) 3/2) (pow.f64 V -3/2)) |
(pow.f64 (/.f64 (/.f64 A l) V) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 A))) (log.f64 (/.f64 -1 (*.f64 V l)))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))) |
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))) |
(*.f64 (pow.f64 (/.f64 A l) 3/2) (pow.f64 V -3/2)) |
(pow.f64 (/.f64 (/.f64 A l) V) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))) |
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))) |
(*.f64 (pow.f64 (/.f64 A l) 3/2) (pow.f64 V -3/2)) |
(pow.f64 (/.f64 (/.f64 A l) V) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))) |
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))) |
(*.f64 (pow.f64 (/.f64 A l) 3/2) (pow.f64 V -3/2)) |
(pow.f64 (/.f64 (/.f64 A l) V) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))) |
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))) |
(*.f64 (pow.f64 (/.f64 A l) 3/2) (pow.f64 V -3/2)) |
(pow.f64 (/.f64 (/.f64 A l) V) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))) |
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))) |
(*.f64 (pow.f64 (/.f64 A l) 3/2) (pow.f64 V -3/2)) |
(pow.f64 (/.f64 (/.f64 A l) V) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))) |
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))) |
(*.f64 (pow.f64 (/.f64 A l) 3/2) (pow.f64 V -3/2)) |
(pow.f64 (/.f64 (/.f64 A l) V) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))) |
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))) |
(*.f64 (pow.f64 (/.f64 A l) 3/2) (pow.f64 V -3/2)) |
(pow.f64 (/.f64 (/.f64 A l) V) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))) |
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))) |
(*.f64 (pow.f64 (/.f64 A l) 3/2) (pow.f64 V -3/2)) |
(pow.f64 (/.f64 (/.f64 A l) V) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))) |
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))) |
(*.f64 (pow.f64 (/.f64 A l) 3/2) (pow.f64 V -3/2)) |
(pow.f64 (/.f64 (/.f64 A l) V) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (*.f64 -1 (/.f64 A l)))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))) |
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))) |
(*.f64 (pow.f64 (/.f64 A l) 3/2) (pow.f64 V -3/2)) |
(pow.f64 (/.f64 (/.f64 A l) V) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (*.f64 -1 (/.f64 A l)))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))) |
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))) |
(*.f64 (pow.f64 (/.f64 A l) 3/2) (pow.f64 V -3/2)) |
(pow.f64 (/.f64 (/.f64 A l) V) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (*.f64 -1 (/.f64 A l)))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))) |
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))) |
(*.f64 (pow.f64 (/.f64 A l) 3/2) (pow.f64 V -3/2)) |
(pow.f64 (/.f64 (/.f64 A l) V) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (*.f64 -1 (/.f64 A l)))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))) |
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))) |
(*.f64 (pow.f64 (/.f64 A l) 3/2) (pow.f64 V -3/2)) |
(pow.f64 (/.f64 (/.f64 A l) V) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))) |
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))) |
(*.f64 (pow.f64 (/.f64 A l) 3/2) (pow.f64 V -3/2)) |
(pow.f64 (/.f64 (/.f64 A l) V) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))) |
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))) |
(*.f64 (pow.f64 (/.f64 A l) 3/2) (pow.f64 V -3/2)) |
(pow.f64 (/.f64 (/.f64 A l) V) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))) |
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))) |
(*.f64 (pow.f64 (/.f64 A l) 3/2) (pow.f64 V -3/2)) |
(pow.f64 (/.f64 (/.f64 A l) V) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))) |
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))) |
(*.f64 (pow.f64 (/.f64 A l) 3/2) (pow.f64 V -3/2)) |
(pow.f64 (/.f64 (/.f64 A l) V) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))) |
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))) |
(*.f64 (pow.f64 (/.f64 A l) 3/2) (pow.f64 V -3/2)) |
(pow.f64 (/.f64 (/.f64 A l) V) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))) |
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))) |
(*.f64 (pow.f64 (/.f64 A l) 3/2) (pow.f64 V -3/2)) |
(pow.f64 (/.f64 (/.f64 A l) V) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))) |
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))) |
(*.f64 (pow.f64 (/.f64 A l) 3/2) (pow.f64 V -3/2)) |
(pow.f64 (/.f64 (/.f64 A l) V) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))) |
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))) |
(*.f64 (pow.f64 (/.f64 A l) 3/2) (pow.f64 V -3/2)) |
(pow.f64 (/.f64 (/.f64 A l) V) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (*.f64 -1 (/.f64 A V)))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))) |
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))) |
(*.f64 (pow.f64 (/.f64 A l) 3/2) (pow.f64 V -3/2)) |
(pow.f64 (/.f64 (/.f64 A l) V) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (*.f64 -1 (/.f64 A V)))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))) |
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))) |
(*.f64 (pow.f64 (/.f64 A l) 3/2) (pow.f64 V -3/2)) |
(pow.f64 (/.f64 (/.f64 A l) V) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (*.f64 -1 (/.f64 A V)))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))) |
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))) |
(*.f64 (pow.f64 (/.f64 A l) 3/2) (pow.f64 V -3/2)) |
(pow.f64 (/.f64 (/.f64 A l) V) 3/2) |
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 -1 l)) (log.f64 (*.f64 -1 (/.f64 A V)))))) |
(pow.f64 (exp.f64 3/2) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A))) |
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 A) (log.f64 (*.f64 V l)))) |
(*.f64 (pow.f64 (/.f64 A l) 3/2) (pow.f64 V -3/2)) |
(pow.f64 (/.f64 (/.f64 A l) V) 3/2) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 6.3b | (/.f64 (/.f64 A V) l) | |
| 5.5b | (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) | |
| 1.0b | (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) | |
| 0.7b | (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 3) | |
| ✓ | 1.0b | (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
| ✓ | 5.5b | (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) |
| 6.3b | (/.f64 (/.f64 A V) l) | |
| ✓ | 13.8b | (sqrt.f64 (/.f64 (/.f64 A V) l)) |
Compiled 51 to 12 computations (76.5% saved)
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | V | @ | 0 | (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
| 8.0ms | V | @ | inf | (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) |
| 8.0ms | A | @ | inf | (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) |
| 7.0ms | A | @ | -inf | (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) |
| 2.0ms | A | @ | 0 | (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) |
| 1× | batch-egg-rewrite |
| 575× | log-prod_binary64 |
| 427× | exp-prod_binary64 |
| 394× | pow-prod-down_binary64 |
| 274× | pow2_binary64 |
| 211× | pow-unpow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 35 |
| 1 | 210 | 35 |
| 2 | 2851 | 35 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (/.f64 (/.f64 A V) l)) |
(cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 A (*.f64 V l))) (pow.f64 (/.f64 A (*.f64 V l)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/6) (cbrt.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/4) (pow.f64 (/.f64 A (*.f64 V l)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (*.f64 l (/.f64 V A))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 A V))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (/.f64 A V))) (neg.f64 (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 A (*.f64 V l)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 A (*.f64 V l))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 l (/.f64 V A)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 l (/.f64 V A))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 A V))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))) (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (/.f64 A (*.f64 V l)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (/.f64 A (*.f64 V l)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 A (*.f64 V l))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x 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 +.f64 0 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 c0) (pow.f64 (/.f64 A (*.f64 V l)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)))) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/6) (cbrt.f64 c0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 1/6) (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))) (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 2)) (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))) (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (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 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))) 1) 3))))) (#(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))))))) |
| 1× | egg-herbie |
| 572× | fma-def_binary64 |
| 371× | exp-sum_binary64 |
| 342× | fma-neg_binary64 |
| 305× | div-sub_binary64 |
| 274× | associate-*l*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 1092 |
| 1 | 195 | 1020 |
| 2 | 480 | 924 |
| 3 | 1397 | 816 |
| 4 | 3943 | 768 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A))))) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A))))) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A))))) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A))))) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A))))))) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A))))))) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A))))))) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A))))))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 -1 A))))))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 -1 A))))))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 -1 A))))))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 -1 A))))))) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V)))))) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V)))))) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V)))))) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V)))))) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l)))))) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l)))))) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l)))))) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l)))))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (/.f64 A l)))))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (/.f64 A l)))))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (/.f64 A l)))))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (/.f64 A l)))))) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V)))))) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V)))))) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V)))))) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V)))))) |
(*.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l))))) (pow.f64 (*.f64 1 c0) 1/3)) |
(*.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l))))) (pow.f64 (*.f64 1 c0) 1/3)) |
(*.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l))))) (pow.f64 (*.f64 1 c0) 1/3)) |
(*.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l))))) (pow.f64 (*.f64 1 c0) 1/3)) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 -1 l)))))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 -1 l)))))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 -1 l)))))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 -1 l)))))) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
| Outputs |
|---|
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A))))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))) |
(*.f64 (cbrt.f64 c0) (*.f64 (pow.f64 (/.f64 A V) 1/6) (pow.f64 l -1/6))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A))))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))) |
(*.f64 (cbrt.f64 c0) (*.f64 (pow.f64 (/.f64 A V) 1/6) (pow.f64 l -1/6))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A))))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))) |
(*.f64 (cbrt.f64 c0) (*.f64 (pow.f64 (/.f64 A V) 1/6) (pow.f64 l -1/6))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (log.f64 A))))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))) |
(*.f64 (cbrt.f64 c0) (*.f64 (pow.f64 (/.f64 A V) 1/6) (pow.f64 l -1/6))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A))))))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))) |
(*.f64 (cbrt.f64 c0) (*.f64 (pow.f64 (/.f64 A V) 1/6) (pow.f64 l -1/6))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A))))))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))) |
(*.f64 (cbrt.f64 c0) (*.f64 (pow.f64 (/.f64 A V) 1/6) (pow.f64 l -1/6))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A))))))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))) |
(*.f64 (cbrt.f64 c0) (*.f64 (pow.f64 (/.f64 A V) 1/6) (pow.f64 l -1/6))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 1 A))))))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))) |
(*.f64 (cbrt.f64 c0) (*.f64 (pow.f64 (/.f64 A V) 1/6) (pow.f64 l -1/6))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 -1 A))))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (neg.f64 (log.f64 (/.f64 -1 A)))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 (/.f64 -1 A))))) |
(*.f64 (pow.f64 (/.f64 1 (*.f64 V l)) 1/6) (*.f64 (pow.f64 (/.f64 -1 A) -1/6) (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (/.f64 (pow.f64 (*.f64 l V) -1/6) (pow.f64 (/.f64 -1 A) 1/6))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (/.f64 (neg.f64 (/.f64 A l)) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 -1 A))))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (neg.f64 (log.f64 (/.f64 -1 A)))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 (/.f64 -1 A))))) |
(*.f64 (pow.f64 (/.f64 1 (*.f64 V l)) 1/6) (*.f64 (pow.f64 (/.f64 -1 A) -1/6) (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (/.f64 (pow.f64 (*.f64 l V) -1/6) (pow.f64 (/.f64 -1 A) 1/6))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (/.f64 (neg.f64 (/.f64 A l)) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 -1 A))))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (neg.f64 (log.f64 (/.f64 -1 A)))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 (/.f64 -1 A))))) |
(*.f64 (pow.f64 (/.f64 1 (*.f64 V l)) 1/6) (*.f64 (pow.f64 (/.f64 -1 A) -1/6) (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (/.f64 (pow.f64 (*.f64 l V) -1/6) (pow.f64 (/.f64 -1 A) 1/6))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (/.f64 (neg.f64 (/.f64 A l)) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 (*.f64 V l))) (*.f64 -1 (log.f64 (/.f64 -1 A))))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (neg.f64 (log.f64 (/.f64 -1 A)))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 (/.f64 -1 A))))) |
(*.f64 (pow.f64 (/.f64 1 (*.f64 V l)) 1/6) (*.f64 (pow.f64 (/.f64 -1 A) -1/6) (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (/.f64 (pow.f64 (*.f64 l V) -1/6) (pow.f64 (/.f64 -1 A) 1/6))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (/.f64 (neg.f64 (/.f64 A l)) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V)))))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))) |
(*.f64 (cbrt.f64 c0) (*.f64 (pow.f64 (/.f64 A V) 1/6) (pow.f64 l -1/6))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V)))))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))) |
(*.f64 (cbrt.f64 c0) (*.f64 (pow.f64 (/.f64 A V) 1/6) (pow.f64 l -1/6))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V)))))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))) |
(*.f64 (cbrt.f64 c0) (*.f64 (pow.f64 (/.f64 A V) 1/6) (pow.f64 l -1/6))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A l)) (*.f64 -1 (log.f64 V)))))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))) |
(*.f64 (cbrt.f64 c0) (*.f64 (pow.f64 (/.f64 A V) 1/6) (pow.f64 l -1/6))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l)))))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))) |
(*.f64 (cbrt.f64 c0) (*.f64 (pow.f64 (/.f64 A V) 1/6) (pow.f64 l -1/6))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l)))))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))) |
(*.f64 (cbrt.f64 c0) (*.f64 (pow.f64 (/.f64 A V) 1/6) (pow.f64 l -1/6))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l)))))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))) |
(*.f64 (cbrt.f64 c0) (*.f64 (pow.f64 (/.f64 A V) 1/6) (pow.f64 l -1/6))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 1 V)) (log.f64 (/.f64 A l)))))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))) |
(*.f64 (cbrt.f64 c0) (*.f64 (pow.f64 (/.f64 A V) 1/6) (pow.f64 l -1/6))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (/.f64 A l)))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (neg.f64 (log.f64 (/.f64 -1 A)))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 (/.f64 -1 A))))) |
(*.f64 (pow.f64 (/.f64 1 (*.f64 V l)) 1/6) (*.f64 (pow.f64 (/.f64 -1 A) -1/6) (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (/.f64 (pow.f64 (*.f64 l V) -1/6) (pow.f64 (/.f64 -1 A) 1/6))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (/.f64 (neg.f64 (/.f64 A l)) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (/.f64 A l)))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (neg.f64 (log.f64 (/.f64 -1 A)))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 (/.f64 -1 A))))) |
(*.f64 (pow.f64 (/.f64 1 (*.f64 V l)) 1/6) (*.f64 (pow.f64 (/.f64 -1 A) -1/6) (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (/.f64 (pow.f64 (*.f64 l V) -1/6) (pow.f64 (/.f64 -1 A) 1/6))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (/.f64 (neg.f64 (/.f64 A l)) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (/.f64 A l)))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (neg.f64 (log.f64 (/.f64 -1 A)))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 (/.f64 -1 A))))) |
(*.f64 (pow.f64 (/.f64 1 (*.f64 V l)) 1/6) (*.f64 (pow.f64 (/.f64 -1 A) -1/6) (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (/.f64 (pow.f64 (*.f64 l V) -1/6) (pow.f64 (/.f64 -1 A) 1/6))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (/.f64 (neg.f64 (/.f64 A l)) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 -1 V)) (log.f64 (/.f64 A l)))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (neg.f64 (log.f64 (/.f64 -1 A)))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 (/.f64 -1 A))))) |
(*.f64 (pow.f64 (/.f64 1 (*.f64 V l)) 1/6) (*.f64 (pow.f64 (/.f64 -1 A) -1/6) (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (/.f64 (pow.f64 (*.f64 l V) -1/6) (pow.f64 (/.f64 -1 A) 1/6))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (/.f64 (neg.f64 (/.f64 A l)) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V)))))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))) |
(*.f64 (cbrt.f64 c0) (*.f64 (pow.f64 (/.f64 A V) 1/6) (pow.f64 l -1/6))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V)))))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))) |
(*.f64 (cbrt.f64 c0) (*.f64 (pow.f64 (/.f64 A V) 1/6) (pow.f64 l -1/6))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V)))))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))) |
(*.f64 (cbrt.f64 c0) (*.f64 (pow.f64 (/.f64 A V) 1/6) (pow.f64 l -1/6))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 1 c0) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 l)) (log.f64 (/.f64 A V)))))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))) |
(*.f64 (cbrt.f64 c0) (*.f64 (pow.f64 (/.f64 A V) 1/6) (pow.f64 l -1/6))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) |
(*.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l))))) (pow.f64 (*.f64 1 c0) 1/3)) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))) |
(*.f64 (cbrt.f64 c0) (*.f64 (pow.f64 (/.f64 A V) 1/6) (pow.f64 l -1/6))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) |
(*.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l))))) (pow.f64 (*.f64 1 c0) 1/3)) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))) |
(*.f64 (cbrt.f64 c0) (*.f64 (pow.f64 (/.f64 A V) 1/6) (pow.f64 l -1/6))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) |
(*.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l))))) (pow.f64 (*.f64 1 c0) 1/3)) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))) |
(*.f64 (cbrt.f64 c0) (*.f64 (pow.f64 (/.f64 A V) 1/6) (pow.f64 l -1/6))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) |
(*.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 1 l))))) (pow.f64 (*.f64 1 c0) 1/3)) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 A)))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 A) (log.f64 (*.f64 V l))))) |
(*.f64 (cbrt.f64 c0) (*.f64 (pow.f64 (/.f64 A V) 1/6) (pow.f64 l -1/6))) |
(*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 -1 l)))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (neg.f64 (log.f64 (/.f64 -1 A)))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 (/.f64 -1 A))))) |
(*.f64 (pow.f64 (/.f64 1 (*.f64 V l)) 1/6) (*.f64 (pow.f64 (/.f64 -1 A) -1/6) (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (/.f64 (pow.f64 (*.f64 l V) -1/6) (pow.f64 (/.f64 -1 A) 1/6))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (/.f64 (neg.f64 (/.f64 A l)) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 -1 l)))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (neg.f64 (log.f64 (/.f64 -1 A)))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 (/.f64 -1 A))))) |
(*.f64 (pow.f64 (/.f64 1 (*.f64 V l)) 1/6) (*.f64 (pow.f64 (/.f64 -1 A) -1/6) (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (/.f64 (pow.f64 (*.f64 l V) -1/6) (pow.f64 (/.f64 -1 A) 1/6))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (/.f64 (neg.f64 (/.f64 A l)) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 -1 l)))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (neg.f64 (log.f64 (/.f64 -1 A)))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 (/.f64 -1 A))))) |
(*.f64 (pow.f64 (/.f64 1 (*.f64 V l)) 1/6) (*.f64 (pow.f64 (/.f64 -1 A) -1/6) (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (/.f64 (pow.f64 (*.f64 l V) -1/6) (pow.f64 (/.f64 -1 A) 1/6))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (/.f64 (neg.f64 (/.f64 A l)) V) 1/6)) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) (*.f64 1 c0)) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (/.f64 A V)) (log.f64 (/.f64 -1 l)))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 (*.f64 V l))) (neg.f64 (log.f64 (/.f64 -1 A)))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (exp.f64 1/6) (-.f64 (neg.f64 (log.f64 (*.f64 V l))) (log.f64 (/.f64 -1 A))))) |
(*.f64 (pow.f64 (/.f64 1 (*.f64 V l)) 1/6) (*.f64 (pow.f64 (/.f64 -1 A) -1/6) (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (/.f64 (pow.f64 (*.f64 l V) -1/6) (pow.f64 (/.f64 -1 A) 1/6))) |
(*.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 -1))) (pow.f64 (/.f64 (neg.f64 (/.f64 A l)) V) 1/6)) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V))) |
Compiled 11322 to 4597 computations (59.4% saved)
25 alts after pruning (21 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 780 | 18 | 798 |
| Fresh | 10 | 3 | 13 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 4 | 5 |
| Total | 792 | 25 | 817 |
| Status | Error | Program |
|---|---|---|
| 37.5b | (/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 V l))) | |
| 50.7b | (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l))) c0)) 3) | |
| ✓ | 16.5b | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 50.5b | (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l)))) | |
| ▶ | 43.0b | (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 3)) |
| ✓ | 16.9b | (*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A))) |
| 18.7b | (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) | |
| 18.2b | (*.f64 c0 (pow.f64 (*.f64 l (/.f64 V A)) -1/2)) | |
| 36.5b | (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) | |
| ▶ | 16.9b | (*.f64 c0 (sqrt.f64 (*.f64 (*.f64 (/.f64 1 V) (/.f64 1 l)) A))) |
| 57.0b | (log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 l V))))) | |
| 27.8b | (/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l)) | |
| 27.5b | (*.f64 c0 (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 A V)) 1/2)) (sqrt.f64 l))) | |
| ✓ | 25.3b | (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) |
| 27.8b | (/.f64 1 (/.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 (/.f64 A V)) c0))) | |
| 38.4b | (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))) | |
| 18.6b | (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) | |
| ✓ | 26.3b | (*.f64 c0 (cbrt.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2))) |
| ▶ | 25.4b | (*.f64 c0 (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V)))) |
| 47.4b | (*.f64 c0 (/.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 V)) (sqrt.f64 l))) | |
| ▶ | 19.1b | (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) |
| 33.6b | (*.f64 c0 (/.f64 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))) (sqrt.f64 l))) | |
| ▶ | 18.7b | (*.f64 c0 (sqrt.f64 (/.f64 (*.f64 (/.f64 1 V) A) l))) |
| 36.5b | (*.f64 c0 (*.f64 (pow.f64 (*.f64 V l) -1/2) (sqrt.f64 A))) | |
| 19.1b | (*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))) |
Compiled 649 to 465 computations (28.4% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 13.8b | (sqrt.f64 (*.f64 (*.f64 (/.f64 1 V) (/.f64 1 l)) A)) | |
| 4.4b | (*.f64 (*.f64 (/.f64 1 V) (/.f64 1 l)) A) | |
| 1.0b | (*.f64 c0 (sqrt.f64 (*.f64 (*.f64 (/.f64 1 V) (/.f64 1 l)) A))) | |
| 0.3b | (*.f64 (/.f64 1 V) (/.f64 1 l)) | |
| ✓ | 0.3b | (*.f64 (/.f64 1 V) (/.f64 1 l)) |
| ✓ | 1.0b | (*.f64 c0 (sqrt.f64 (*.f64 (*.f64 (/.f64 1 V) (/.f64 1 l)) A))) |
| ✓ | 4.4b | (*.f64 (*.f64 (/.f64 1 V) (/.f64 1 l)) A) |
| ✓ | 13.8b | (sqrt.f64 (*.f64 (*.f64 (/.f64 1 V) (/.f64 1 l)) A)) |
Compiled 53 to 35 computations (34% saved)
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | A | @ | 0 | (sqrt.f64 (*.f64 (*.f64 (/.f64 1 V) (/.f64 1 l)) A)) |
| 1.0ms | V | @ | 0 | (sqrt.f64 (*.f64 (*.f64 (/.f64 1 V) (/.f64 1 l)) A)) |
| 0.0ms | V | @ | inf | (sqrt.f64 (*.f64 (*.f64 (/.f64 1 V) (/.f64 1 l)) A)) |
| 0.0ms | A | @ | -inf | (*.f64 c0 (sqrt.f64 (*.f64 (*.f64 (/.f64 1 V) (/.f64 1 l)) A))) |
| 0.0ms | l | @ | -inf | (sqrt.f64 (*.f64 (*.f64 (/.f64 1 V) (/.f64 1 l)) A)) |
| 1× | batch-egg-rewrite |
| 633× | log-prod_binary64 |
| 452× | pow-prod-down_binary64 |
| 302× | pow2_binary64 |
| 281× | pow-unpow_binary64 |
| 217× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 44 |
| 1 | 248 | 35 |
| 2 | 3150 | 35 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 (*.f64 (/.f64 1 V) (/.f64 1 l)) A)) |
(*.f64 (*.f64 (/.f64 1 V) (/.f64 1 l)) A) |
(*.f64 c0 (sqrt.f64 (*.f64 (*.f64 (/.f64 1 V) (/.f64 1 l)) A))) |
(*.f64 (/.f64 1 V) (/.f64 1 l)) |
| Outputs |
|---|
((#(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 (cbrt.f64 (/.f64 (/.f64 A l) V)) (pow.f64 (/.f64 (/.f64 A l) V) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 A l) V) 1/6) (cbrt.f64 (/.f64 (/.f64 A l) V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 A) (pow.f64 (*.f64 V l) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 A l) V) 1/4) (pow.f64 (/.f64 (/.f64 A l) V) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 V l) -1/2) (sqrt.f64 A))))) (#(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 pow.f64 (/.f64 (/.f64 A l) V) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A l) V) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A l) V) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A l) V) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 A l) V)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A l) V) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A l) V) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 A l) V))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 A l) V) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A l) V))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 A l) V)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A l) V))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (/.f64 (/.f64 A l) V))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 A l) V) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (/.f64 (/.f64 A l) V))) 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 +.f64 0 (/.f64 (/.f64 A l) V))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 A l) V))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 A l) V)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 A l) V)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 A l) V)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 A l) V))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 A (*.f64 V l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 A l) V)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 A l)) (neg.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 V) A) l)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 A (/.f64 1 V)) l)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 A l) V) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A l) V) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A l) V) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A l) V) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 A l) V)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A l) V) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A l) V) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 A l) V) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 A l) V)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 A l) V))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 A l) V) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 A l) V)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 A l) V)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A l) V))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 (/.f64 A l) V))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (/.f64 A l) V))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 A l) V))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 A l) V)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 A l) V))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A l) V)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A l) V))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A l) V))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A l) V))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (/.f64 A l) V) (*.f64 c0 c0)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 (/.f64 A l) V) (*.f64 c0 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A l) V))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x 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 (*.f64 3 (log.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0))) 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))))) (#(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 +.f64 0 (/.f64 1 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (*.f64 V l)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (*.f64 V l))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 V l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 V l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (neg.f64 V) (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (neg.f64 l) (neg.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 V l) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 l (/.f64 1 V)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 V (/.f64 1 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 V) l)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 l) V)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 l -2)) (/.f64 V (/.f64 1 (cbrt.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 V -2)) (/.f64 l (cbrt.f64 (/.f64 1 V))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 l -1/2) (/.f64 V (pow.f64 l -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 V -1/2) (/.f64 l (pow.f64 V -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 V) l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 V (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 l) V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 l (neg.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1 V)) (neg.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1 l)) (neg.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 V) (sqrt.f64 l)) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 l) (sqrt.f64 V)) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 V) 1) l)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 V) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 l) 1) V)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 l) (pow.f64 (cbrt.f64 V) 2)) (cbrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 1 V)) (neg.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 1 l)) (neg.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 V) -1) (neg.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 l) -1) (neg.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 V l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V l) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V l) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (*.f64 V l))) 3)))) (#(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 (*.f64 V l) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 V -3) (pow.f64 l 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 l -3) (pow.f64 V 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (neg.f64 V) (neg.f64 l)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (neg.f64 l) (neg.f64 V)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 V l) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 l (/.f64 1 V)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 V (/.f64 1 l)) -1)))) (#(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 1 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 V l) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 V -3) (pow.f64 l 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 l -3) (pow.f64 V 3)))))) (#(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 (neg.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 (log.f64 (pow.f64 (*.f64 V l) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 V l)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (*.f64 V l)))))))) |
| 1× | egg-herbie |
| 4× | associate-/r*_binary64 |
| 2× | *-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 564 |
| 1 | 19 | 564 |
| 2 | 23 | 564 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(/.f64 1 (*.f64 V l)) |
(/.f64 1 (*.f64 V l)) |
(/.f64 1 (*.f64 V l)) |
(/.f64 1 (*.f64 V l)) |
(/.f64 1 (*.f64 V l)) |
(/.f64 1 (*.f64 V l)) |
(/.f64 1 (*.f64 V l)) |
(/.f64 1 (*.f64 V l)) |
(/.f64 1 (*.f64 V l)) |
(/.f64 1 (*.f64 V l)) |
(/.f64 1 (*.f64 V l)) |
(/.f64 1 (*.f64 V l)) |
(/.f64 1 (*.f64 V l)) |
(/.f64 1 (*.f64 V l)) |
(/.f64 1 (*.f64 V l)) |
(/.f64 1 (*.f64 V l)) |
(/.f64 1 (*.f64 V l)) |
(/.f64 1 (*.f64 V l)) |
(/.f64 1 (*.f64 V l)) |
(/.f64 1 (*.f64 V l)) |
(/.f64 1 (*.f64 V l)) |
(/.f64 1 (*.f64 V l)) |
(/.f64 1 (*.f64 V l)) |
(/.f64 1 (*.f64 V l)) |
| Outputs |
|---|
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(/.f64 1 (*.f64 V l)) |
(/.f64 1 (*.f64 V l)) |
(/.f64 1 (*.f64 V l)) |
(/.f64 1 (*.f64 V l)) |
(/.f64 1 (*.f64 V l)) |
(/.f64 1 (*.f64 V l)) |
(/.f64 1 (*.f64 V l)) |
(/.f64 1 (*.f64 V l)) |
(/.f64 1 (*.f64 V l)) |
(/.f64 1 (*.f64 V l)) |
(/.f64 1 (*.f64 V l)) |
(/.f64 1 (*.f64 V l)) |
(/.f64 1 (*.f64 V l)) |
(/.f64 1 (*.f64 V l)) |
(/.f64 1 (*.f64 V l)) |
(/.f64 1 (*.f64 V l)) |
(/.f64 1 (*.f64 V l)) |
(/.f64 1 (*.f64 V l)) |
(/.f64 1 (*.f64 V l)) |
(/.f64 1 (*.f64 V l)) |
(/.f64 1 (*.f64 V l)) |
(/.f64 1 (*.f64 V l)) |
(/.f64 1 (*.f64 V l)) |
(/.f64 1 (*.f64 V l)) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 13.8b | (sqrt.f64 (/.f64 (/.f64 A l) V)) | |
| 6.2b | (/.f64 (/.f64 A l) V) | |
| 1.0b | (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) | |
| ✓ | 1.0b | (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) |
| ✓ | 6.2b | (/.f64 (/.f64 A l) V) |
| ✓ | 13.8b | (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)) |
| 0.0ms | V | @ | -inf | (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) |
| 0.0ms | l | @ | -inf | (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) |
| 0.0ms | l | @ | -inf | (sqrt.f64 (/.f64 (/.f64 A l) V)) |
| 0.0ms | A | @ | -inf | (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) |
| 1× | batch-egg-rewrite |
| 536× | log-prod_binary64 |
| 398× | exp-prod_binary64 |
| 361× | 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 | 2647 | 28 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (/.f64 (/.f64 A l) V)) |
(/.f64 (/.f64 A l) V) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 l V))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 A (*.f64 l V))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 A (*.f64 l V))) (pow.f64 (/.f64 A (*.f64 l V)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 l V)) 1/6) (cbrt.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 l V)) 1/4) (pow.f64 (/.f64 A (*.f64 l V)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A l)) (pow.f64 V -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (*.f64 V (/.f64 l A))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 V) (sqrt.f64 (/.f64 A l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 A l)) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (/.f64 A l))) (neg.f64 (sqrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 A (*.f64 l V)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 l V)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 l V)) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 l V)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 A (*.f64 l V))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 l V)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 l V)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 V (/.f64 l A)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 V) (sqrt.f64 (/.f64 A l))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 l V))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))) (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 A (*.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 A (*.f64 l V)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 A (*.f64 l V))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (/.f64 A (*.f64 l V)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 A (*.f64 l V)) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (/.f64 A (*.f64 l V)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 A (*.f64 l V))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 A (*.f64 l V))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x 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 +.f64 0 (/.f64 A (*.f64 l V)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 A (*.f64 l V)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 A (*.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 A (*.f64 l V))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 A (*.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 A (*.f64 l V)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 A (/.f64 1 (*.f64 l V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 A l) (/.f64 1 V))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 A (*.f64 l V)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) (sqrt.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 A (*.f64 l V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 A (*.f64 l V))) (pow.f64 (cbrt.f64 (/.f64 A (*.f64 l V))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 A (*.f64 l V))) 2) (cbrt.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 A l) 2)) (*.f64 (cbrt.f64 (/.f64 A l)) (/.f64 1 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 l V)) 1/4) (pow.f64 (/.f64 A (*.f64 l V)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A l)) (*.f64 (sqrt.f64 (/.f64 A l)) (/.f64 1 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 A) l) (/.f64 1 (neg.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 V) (/.f64 A l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 V -1/2) (/.f64 (/.f64 A l) (sqrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 l V)) 3/4) (pow.f64 (/.f64 A (*.f64 l V)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 A) 2) V) (/.f64 (cbrt.f64 A) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 A) V) (/.f64 (sqrt.f64 A) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 A 1) (/.f64 (pow.f64 l -1) V))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 A l) 2)) 1) (/.f64 (cbrt.f64 (/.f64 A l)) V))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 A l)) 1) (/.f64 (sqrt.f64 (/.f64 A l)) V))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 A (pow.f64 (cbrt.f64 V) 2)) (/.f64 (pow.f64 l -1) (cbrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 V) -2) (/.f64 (/.f64 A l) (cbrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 A l) 2)) (pow.f64 (cbrt.f64 V) 2)) (cbrt.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 A l)) (pow.f64 (cbrt.f64 V) 2)) (/.f64 (sqrt.f64 (/.f64 A l)) (cbrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 A (sqrt.f64 V)) (/.f64 (pow.f64 l -1) (sqrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 A l) 2)) (sqrt.f64 V)) (/.f64 (cbrt.f64 (/.f64 A l)) (sqrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 l V)) 5/6) (pow.f64 (/.f64 A (*.f64 l V)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 A (*.f64 l V)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 l V)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 l V)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 l V)) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 A (*.f64 l V))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 l V)) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 l V)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 V (/.f64 l A)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 l A) -3) (pow.f64 V 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 l A) V) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 l V) A) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 V (/.f64 l A)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 A (*.f64 l V)))) 2)) (cbrt.f64 (log.f64 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 A (*.f64 l V))))) (sqrt.f64 (log.f64 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 A l) (neg.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 A (*.f64 l V)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 A (*.f64 l V)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 l A) -3) (pow.f64 V 3)))))) (#(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 (log.f64 (pow.f64 (/.f64 A (*.f64 l V)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 A (*.f64 l V)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 V (/.f64 l A))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 A (*.f64 l V))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 A (*.f64 l V))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 A) 1) (log.f64 (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 A l)) 1) (log.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 A l)) (*.f64 (log.f64 V) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 A l)) 1) (*.f64 (log.f64 V) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x 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 +.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 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 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))))))) |
| 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 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 13.8b | (sqrt.f64 (/.f64 (*.f64 (/.f64 1 V) A) l)) | |
| 6.3b | (/.f64 (*.f64 (/.f64 1 V) A) l) | |
| 1.0b | (*.f64 c0 (sqrt.f64 (/.f64 (*.f64 (/.f64 1 V) A) l))) | |
| 0.2b | (*.f64 (/.f64 1 V) A) | |
| ✓ | 0.2b | (*.f64 (/.f64 1 V) A) |
| ✓ | 1.0b | (*.f64 c0 (sqrt.f64 (/.f64 (*.f64 (/.f64 1 V) A) l))) |
| ✓ | 6.3b | (/.f64 (*.f64 (/.f64 1 V) A) l) |
| ✓ | 13.8b | (sqrt.f64 (/.f64 (*.f64 (/.f64 1 V) A) l)) |
Compiled 42 to 25 computations (40.5% saved)
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | V | @ | 0 | (*.f64 c0 (sqrt.f64 (/.f64 (*.f64 (/.f64 1 V) A) l))) |
| 1.0ms | A | @ | inf | (*.f64 (/.f64 1 V) A) |
| 1.0ms | V | @ | 0 | (sqrt.f64 (/.f64 (*.f64 (/.f64 1 V) A) l)) |
| 0.0ms | A | @ | -inf | (*.f64 (/.f64 1 V) A) |
| 0.0ms | V | @ | -inf | (sqrt.f64 (/.f64 (*.f64 (/.f64 1 V) A) l)) |
| 1× | batch-egg-rewrite |
| 587× | log-prod_binary64 |
| 441× | exp-prod_binary64 |
| 390× | pow-prod-down_binary64 |
| 282× | pow2_binary64 |
| 205× | pow-unpow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 32 |
| 1 | 225 | 32 |
| 2 | 2927 | 32 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (/.f64 (*.f64 (/.f64 1 V) A) l)) |
(/.f64 (*.f64 (/.f64 1 V) A) l) |
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 (/.f64 1 V) A) l))) |
(*.f64 (/.f64 1 V) 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 (sqrt.f64 (/.f64 A V)) (pow.f64 l -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (*.f64 V (/.f64 l A))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 A 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 (pow.f64 V -1/2) (sqrt.f64 (/.f64 l A)))))) (#(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 (/.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 (*.f64 V (/.f64 l A)) -1/2)))) (#(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 (sqrt.f64 (*.f64 V (/.f64 l A))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 l) (sqrt.f64 (/.f64 A V))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 (/.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 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 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 +.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 A V) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 V) (/.f64 1 (/.f64 l A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 V) (*.f64 A (/.f64 1 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 A (pow.f64 (*.f64 V l) -1))))) (#(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 (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 (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 (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) 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 (/.f64 1 V) 1) (/.f64 A 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 (/.f64 1 V) l) A)))) (#(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 (pow.f64 (cbrt.f64 l) -2) (/.f64 (/.f64 A V) (cbrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 V) (pow.f64 (cbrt.f64 l) 2)) (/.f64 A (cbrt.f64 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 (/.f64 (pow.f64 (cbrt.f64 (/.f64 A V)) 2) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (/.f64 (/.f64 A V) 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 (/.f64 1 V) (sqrt.f64 l)) (/.f64 A (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 A (sqrt.f64 l)) (/.f64 (/.f64 1 V) (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 A V)) 2) (sqrt.f64 l)) (/.f64 (cbrt.f64 (/.f64 A V)) (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 A V) l) 5/6) (pow.f64 (/.f64 (/.f64 A V) l) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 A V) l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 V (/.f64 l A)) -1)))) (#(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 (/.f64 l 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 exp.f64 (log.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 A V) l)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 (/.f64 A V) l))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (/.f64 A V) l))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 A V) l))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 V (/.f64 l 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 (/.f64 (/.f64 A V) l)) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x 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 +.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 /.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 (/.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 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 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 +.f64 0 (/.f64 A V))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 A V))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 A V)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 A V)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 A V)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 A V))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 V A))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 A V)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 A) 2) (/.f64 V (cbrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 A) (/.f64 V (sqrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 A) (neg.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 A 1) V)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 A (sqrt.f64 V)) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 A (pow.f64 (cbrt.f64 V) 2)) (cbrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 A) (neg.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 A -1) (neg.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 A V) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 A V)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A V) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A V) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 A V)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 A V)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 A 3) (pow.f64 V 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 V A) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 A V))) 2)) (cbrt.f64 (log.f64 (/.f64 A V))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 A V)))) (sqrt.f64 (log.f64 (/.f64 A V))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 A V) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 A V)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 A V))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 A V) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 A 3) (pow.f64 V 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 A V)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 A V)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 A V) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 A V))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A V))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 A V)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 A V)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 A V))))))) |
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
| 2× | associate-/r*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 492 |
| 1 | 13 | 492 |
| 2 | 15 | 492 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(/.f64 A V) |
(/.f64 A V) |
(/.f64 A V) |
(/.f64 A V) |
(/.f64 A V) |
(/.f64 A V) |
(/.f64 A V) |
(/.f64 A V) |
(/.f64 A V) |
(/.f64 A V) |
(/.f64 A V) |
(/.f64 A V) |
(/.f64 A V) |
(/.f64 A V) |
(/.f64 A V) |
(/.f64 A V) |
(/.f64 A V) |
(/.f64 A V) |
(/.f64 A V) |
(/.f64 A V) |
(/.f64 A V) |
(/.f64 A V) |
(/.f64 A V) |
(/.f64 A V) |
| Outputs |
|---|
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(/.f64 A (*.f64 V l)) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(/.f64 A V) |
(/.f64 A V) |
(/.f64 A V) |
(/.f64 A V) |
(/.f64 A V) |
(/.f64 A V) |
(/.f64 A V) |
(/.f64 A V) |
(/.f64 A V) |
(/.f64 A V) |
(/.f64 A V) |
(/.f64 A V) |
(/.f64 A V) |
(/.f64 A V) |
(/.f64 A V) |
(/.f64 A V) |
(/.f64 A V) |
(/.f64 A V) |
(/.f64 A V) |
(/.f64 A V) |
(/.f64 A V) |
(/.f64 A V) |
(/.f64 A V) |
(/.f64 A V) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 12.5b | (sqrt.f64 (/.f64 A V)) | |
| 0.6b | (*.f64 c0 (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V)))) | |
| 0.2b | (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V))) | |
| ✓ | 0.2b | (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V))) |
| ✓ | 0.6b | (*.f64 c0 (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V)))) |
| 12.5b | (sqrt.f64 (/.f64 A V)) |
Compiled 37 to 16 computations (56.8% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | A | @ | -inf | (*.f64 c0 (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V)))) |
| 1.0ms | l | @ | -inf | (*.f64 c0 (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V)))) |
| 1.0ms | l | @ | inf | (*.f64 c0 (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V)))) |
| 1.0ms | l | @ | -inf | (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V))) |
| 0.0ms | c0 | @ | 0 | (*.f64 c0 (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V)))) |
| 1× | batch-egg-rewrite |
| 580× | log-prod_binary64 |
| 428× | exp-prod_binary64 |
| 387× | pow-prod-down_binary64 |
| 296× | pow2_binary64 |
| 231× | pow-unpow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 27 |
| 1 | 232 | 27 |
| 2 | 2871 | 27 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 c0 (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V)))) |
(*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 c0 (sqrt.f64 (pow.f64 (*.f64 l (/.f64 V A)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 l -1/2)) (*.f64 (sqrt.f64 (/.f64 A V)) c0))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 l -1/2)) (*.f64 (sqrt.f64 (/.f64 A V)) c0)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 l -1/2)) (*.f64 (sqrt.f64 (/.f64 A V)) c0)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 l -1/2)) (*.f64 (sqrt.f64 (/.f64 A V)) c0)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 c0 (sqrt.f64 (pow.f64 (*.f64 l (/.f64 V A)) -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c0 (pow.f64 l -1/2)) (sqrt.f64 A)) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c0 (sqrt.f64 (pow.f64 (*.f64 l (/.f64 V A)) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 c0 c0) (pow.f64 (*.f64 l (/.f64 V A)) -1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c0 (sqrt.f64 (pow.f64 (*.f64 l (/.f64 V A)) -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 (pow.f64 (*.f64 l (/.f64 V A)) -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 (pow.f64 (*.f64 l (/.f64 V A)) -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 c0 (sqrt.f64 (pow.f64 (*.f64 l (/.f64 V A)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 c0 (sqrt.f64 (pow.f64 (*.f64 l (/.f64 V A)) -1))))) 2)) (cbrt.f64 (log.f64 (*.f64 c0 (sqrt.f64 (pow.f64 (*.f64 l (/.f64 V A)) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 c0 (sqrt.f64 (pow.f64 (*.f64 l (/.f64 V A)) -1)))))) (sqrt.f64 (log.f64 (*.f64 c0 (sqrt.f64 (pow.f64 (*.f64 l (/.f64 V A)) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 c0 c0) (pow.f64 (*.f64 l (/.f64 V A)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 l -1/2)) (*.f64 (sqrt.f64 (/.f64 A V)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 c0 (sqrt.f64 (pow.f64 (*.f64 l (/.f64 V A)) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c0 (sqrt.f64 (pow.f64 (*.f64 l (/.f64 V A)) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 c0 (sqrt.f64 (pow.f64 (*.f64 l (/.f64 V A)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c0 (sqrt.f64 (pow.f64 (*.f64 l (/.f64 V A)) -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 c0 (sqrt.f64 (pow.f64 (*.f64 l (/.f64 V A)) -1))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 (pow.f64 (*.f64 l (/.f64 V A)) -1))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 (pow.f64 (*.f64 l (/.f64 V A)) -1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 c0 (sqrt.f64 (pow.f64 (*.f64 l (/.f64 V A)) -1)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 c0 (sqrt.f64 (pow.f64 (*.f64 l (/.f64 V A)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 c0 (sqrt.f64 (pow.f64 (*.f64 l (/.f64 V A)) -1))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (pow.f64 (*.f64 l (/.f64 V A)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 l -1/2)) (sqrt.f64 (/.f64 A V)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 l -1/2)) (sqrt.f64 (/.f64 A V))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 l -1/2)) (sqrt.f64 (/.f64 A V))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 l -1/2)) (sqrt.f64 (/.f64 A V))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (pow.f64 (*.f64 l (/.f64 V A)) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 A) (pow.f64 l -1/2)) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 l -1/2) (sqrt.f64 A)) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (*.f64 l (/.f64 V A)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 l (/.f64 V A)) -1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 l -3/2) (pow.f64 (/.f64 A V) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 l -1/6) (pow.f64 (/.f64 A V) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 A V) 1/4) (pow.f64 l -1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (pow.f64 (*.f64 l (/.f64 V A)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (pow.f64 (*.f64 l (/.f64 V A)) -1)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (pow.f64 (*.f64 l (/.f64 V A)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (pow.f64 (*.f64 l (/.f64 V A)) -1))))) (sqrt.f64 (log.f64 (sqrt.f64 (pow.f64 (*.f64 l (/.f64 V A)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 l (/.f64 V A)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 l -1/2)) (sqrt.f64 (/.f64 A V))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (pow.f64 (*.f64 l (/.f64 V A)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 l -3/2) (pow.f64 (/.f64 A V) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (pow.f64 (*.f64 l (/.f64 V A)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 (*.f64 l (/.f64 V A)) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 l -3/2) (pow.f64 (/.f64 A V) 3/2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 l -1/6) (pow.f64 (/.f64 A V) 1/6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (/.f64 A V) 1/4) (pow.f64 l -1/4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 (*.f64 l (/.f64 V A)) -1))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (pow.f64 (*.f64 l (/.f64 V A)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (pow.f64 (*.f64 l (/.f64 V A)) -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 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 13.8b | (sqrt.f64 (/.f64 A (*.f64 V l))) | |
| 4.0b | (/.f64 A (*.f64 V l)) | |
| 1.0b | (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) | |
| 0.2b | (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 3) | |
| ✓ | 1.0b | (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
| 4.0b | (/.f64 A (*.f64 V l)) | |
| 13.8b | (sqrt.f64 (/.f64 A (*.f64 V l))) | |
| ✓ | 35.8b | (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 3)) |
Compiled 52 to 14 computations (73.1% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | c0 | @ | -inf | (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 3)) |
| 2.0ms | c0 | @ | inf | (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 3)) |
| 1.0ms | A | @ | 0 | (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 3)) |
| 1.0ms | A | @ | -inf | (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 3)) |
| 1.0ms | l | @ | -inf | (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 3)) |
| 1× | batch-egg-rewrite |
| 599× | log-prod_binary64 |
| 397× | pow-prod-down_binary64 |
| 288× | pow2_binary64 |
| 250× | pow-unpow_binary64 |
| 207× | pow-to-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 24 |
| 1 | 256 | 24 |
| 2 | 3036 | 24 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 3)) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
| Outputs |
|---|
((#(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 *.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 c0) 2) (*.f64 (cbrt.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) (cbrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0))) (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 A V) l)) (*.f64 (pow.f64 (/.f64 (/.f64 A V) l) 1/6) c0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c0) (pow.f64 (*.f64 c0 (/.f64 (/.f64 A V) l)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)))))) (#(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) c0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) (pow.f64 (cbrt.f64 c0) 2)) (cbrt.f64 c0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 (/.f64 A V) l) c0) 1/2) (sqrt.f64 c0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c0 (cbrt.f64 (/.f64 (/.f64 A V) l))) (pow.f64 (/.f64 (/.f64 A V) l) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c0 (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 (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 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) 9) 1/9)))) (#(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 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0))) 3/2)))) (#(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 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) 3/2) 2/3)))) (#(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 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 (log.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0)))) 3/2))))) (#(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 (*.f64 3 (log.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))) 1) 1/3))))) (#(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 +.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 /.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 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) 9) 1/9)))) (#(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 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0))) 3/2)))) (#(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 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) 3/2) 2/3)))) (#(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 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 (log.f64 (cbrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0)))) 3/2))))) (#(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 (*.f64 3 (log.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0))) 1) 1/3))))) (#(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))))))) |
| 1× | egg-herbie |
| 244× | fma-def_binary64 |
| 21× | sub-neg_binary64 |
| 20× | associate-*l*_binary64 |
| 20× | distribute-rgt-in_binary64 |
| 18× | distribute-lft-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 172 |
| 1 | 26 | 172 |
| 2 | 58 | 172 |
| 3 | 103 | 172 |
| 4 | 118 | 172 |
| 5 | 166 | 172 |
| 6 | 238 | 172 |
| 7 | 275 | 172 |
| 8 | 317 | 172 |
| 9 | 486 | 172 |
| 10 | 514 | 172 |
| 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))) |
| 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))) |
Compiled 9088 to 3823 computations (57.9% saved)
25 alts after pruning (16 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 671 | 9 | 680 |
| Fresh | 9 | 7 | 16 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 8 | 8 |
| Total | 680 | 25 | 705 |
| Status | Error | Program |
|---|---|---|
| 37.5b | (/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 V l))) | |
| ✓ | 16.5b | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| ▶ | 18.2b | (*.f64 c0 (pow.f64 (*.f64 l (/.f64 V A)) -1/2)) |
| ✓ | 16.9b | (*.f64 c0 (sqrt.f64 (*.f64 (*.f64 (/.f64 1 V) (/.f64 1 l)) A))) |
| 48.1b | (/.f64 (*.f64 (*.f64 c0 (pow.f64 l -1/2)) (sqrt.f64 A)) (sqrt.f64 V)) | |
| 27.5b | (*.f64 c0 (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 A V)) 1/2)) (sqrt.f64 l))) | |
| 38.4b | (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))) | |
| 18.6b | (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) | |
| ▶ | 26.6b | (*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) c0) |
| ✓ | 19.1b | (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) |
| 49.2b | (/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A l))) (sqrt.f64 V)) | |
| 19.1b | (*.f64 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))) c0) | |
| ▶ | 36.5b | (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0) |
| 57.0b | (log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 l V))))) | |
| ▶ | 18.7b | (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) |
| ▶ | 33.6b | (*.f64 c0 (/.f64 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))) (sqrt.f64 l))) |
| ✓ | 26.3b | (*.f64 c0 (cbrt.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2))) |
| ✓ | 25.4b | (*.f64 c0 (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V)))) |
| 47.4b | (*.f64 c0 (/.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 V)) (sqrt.f64 l))) | |
| 36.5b | (*.f64 c0 (*.f64 (sqrt.f64 A) (pow.f64 (*.f64 V l) -1/2))) | |
| ✓ | 18.7b | (*.f64 c0 (sqrt.f64 (/.f64 (*.f64 (/.f64 1 V) A) l))) |
| ✓ | 43.0b | (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 3)) |
| ✓ | 16.9b | (*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A))) |
| ✓ | 25.3b | (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) |
| 27.8b | (/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l)) |
Compiled 568 to 404 computations (28.9% saved)
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 14.0b | (pow.f64 (*.f64 l (/.f64 V A)) -1/2) | |
| 6.0b | (*.f64 l (/.f64 V A)) | |
| 1.0b | (*.f64 c0 (pow.f64 (*.f64 l (/.f64 V A)) -1/2)) | |
| ✓ | 1.0b | (*.f64 c0 (pow.f64 (*.f64 l (/.f64 V A)) -1/2)) |
| ✓ | 6.0b | (*.f64 l (/.f64 V A)) |
| ✓ | 14.0b | (pow.f64 (*.f64 l (/.f64 V A)) -1/2) |
Compiled 33 to 12 computations (63.6% saved)
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 102.0ms | l | @ | -inf | (pow.f64 (*.f64 l (/.f64 V A)) -1/2) |
| 90.0ms | l | @ | 0 | (pow.f64 (*.f64 l (/.f64 V A)) -1/2) |
| 25.0ms | A | @ | 0 | (pow.f64 (*.f64 l (/.f64 V A)) -1/2) |
| 22.0ms | A | @ | -inf | (pow.f64 (*.f64 l (/.f64 V A)) -1/2) |
| 15.0ms | V | @ | -inf | (pow.f64 (*.f64 l (/.f64 V A)) -1/2) |
| 1× | batch-egg-rewrite |
| 559× | log-prod_binary64 |
| 424× | exp-prod_binary64 |
| 340× | pow-prod-down_binary64 |
| 287× | pow2_binary64 |
| 213× | pow-unpow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 30 |
| 1 | 214 | 30 |
| 2 | 2716 | 30 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (*.f64 l (/.f64 V A)) -1/2) |
(*.f64 l (/.f64 V A)) |
(*.f64 c0 (pow.f64 (*.f64 l (/.f64 V A)) -1/2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 (*.f64 l V) A) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (*.f64 l V) A) -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (*.f64 l V) A) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (*.f64 l V) A) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (*.f64 l V) A) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (*.f64 l V) A) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 l V) A) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (*.f64 l V) A) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 l V) A) -1/6) (cbrt.f64 (/.f64 1 (/.f64 (*.f64 l V) A))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 l V) A))) (pow.f64 (/.f64 (*.f64 l V) A) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A V)) (pow.f64 l -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 l V) A) -1/4) (pow.f64 (/.f64 (*.f64 l V) A) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 l V) A)) -1) (pow.f64 (/.f64 (*.f64 l V) A) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (/.f64 (*.f64 l V) A)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (*.f64 l V) A) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (*.f64 l V) A) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 l V) A) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (/.f64 (*.f64 l V) A) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 l V) A) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 l V) A) -3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 (*.f64 l V) A))) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 l V) A) -1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 l V) A) -1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 l V) A)) 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 l V) A) -1/2)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 l V) A)) -1/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (*.f64 l V) A) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (*.f64 l V) A) -1/2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 l V) A))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 l) (/.f64 V A))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 l) (/.f64 V A)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 l) (/.f64 V A)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 l) (/.f64 V A)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 l V) A))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 l (/.f64 A V))))) (#(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 V) l) (neg.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l (neg.f64 V)) (neg.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 l V) A) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 l V) A) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 l V) A) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 l V) A)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 l V) A)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (*.f64 l V) A)))))) (#(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 V) A))) 2)) (cbrt.f64 (log.f64 (/.f64 (*.f64 l V) A))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 l V) A)))) (sqrt.f64 (log.f64 (/.f64 (*.f64 l V) A))))))) (#(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 (pow.f64 (exp.f64 l) (/.f64 V A)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 l V) A))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 l V) A) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 l V) A)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 l V) A)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 l V) A) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 l V) A))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 l V) A))) 2))))) (#(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 l) 1) (log.f64 (/.f64 A V))))))) (#(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 expm1.f64 (log1p.f64 (/.f64 (*.f64 l V) A)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 l V) A))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (/.f64 (*.f64 l V) A) -1/2) c0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 (*.f64 l V) A) -1/2)) c0)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 (*.f64 l V) A) -1/2)) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 (*.f64 l V) A) -1/2)) c0))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 (*.f64 l V) A) -1/2)) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 (*.f64 l V) A) -1/2) c0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 (*.f64 l V) A) -1/2) c0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 (/.f64 (*.f64 l V) A)) (*.f64 c0 c0)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 (*.f64 l V) A) -3/2) (pow.f64 c0 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 (*.f64 l V) A) -1/6) (cbrt.f64 c0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 c0) (pow.f64 (/.f64 (*.f64 l V) A) -1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (pow.f64 (/.f64 (*.f64 l V) A) -1/2) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (pow.f64 (/.f64 (*.f64 l V) A) -1/2) c0))) 2)) (cbrt.f64 (log.f64 (*.f64 (pow.f64 (/.f64 (*.f64 l V) A) -1/2) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (pow.f64 (/.f64 (*.f64 l V) A) -1/2) c0)))) (sqrt.f64 (log.f64 (*.f64 (pow.f64 (/.f64 (*.f64 l V) A) -1/2) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 1 (/.f64 (*.f64 l V) A)) (*.f64 c0 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 (*.f64 l V) A) -1/2)) c0))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (/.f64 (*.f64 l V) A) -1/2) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (*.f64 l V) A) -3/2) (pow.f64 c0 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (/.f64 (*.f64 l V) A) -1/2) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (/.f64 (*.f64 l V) A) -1/2) c0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (/.f64 (*.f64 l V) A) -3/2) (pow.f64 c0 3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (/.f64 (*.f64 l V) A) -1/6) (cbrt.f64 c0))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 c0) (pow.f64 (/.f64 (*.f64 l V) A) -1/4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (/.f64 (*.f64 l V) A) -1/2) c0)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 (*.f64 l V) A) -1/2) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (/.f64 (*.f64 l V) A) -1/2) c0))))))) |
| 1× | egg-herbie |
| 527× | exp-sum_binary64 |
| 487× | fma-neg_binary64 |
| 378× | div-sub_binary64 |
| 374× | exp-diff_binary64 |
| 342× | unswap-sqr_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 972 |
| 1 | 190 | 972 |
| 2 | 461 | 864 |
| 3 | 1190 | 756 |
| 4 | 3675 | 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 V -1/2) (pow.f64 (/.f64 l A) -1/2)) |
(pow.f64 (*.f64 V (/.f64 l A)) -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 V -1/2) (pow.f64 (/.f64 l A) -1/2)) |
(pow.f64 (*.f64 V (/.f64 l A)) -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 V -1/2) (pow.f64 (/.f64 l A) -1/2)) |
(pow.f64 (*.f64 V (/.f64 l A)) -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 V -1/2) (pow.f64 (/.f64 l A) -1/2)) |
(pow.f64 (*.f64 V (/.f64 l A)) -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 V -1/2) (pow.f64 (/.f64 l A) -1/2)) |
(pow.f64 (*.f64 V (/.f64 l A)) -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 V -1/2) (pow.f64 (/.f64 l A) -1/2)) |
(pow.f64 (*.f64 V (/.f64 l A)) -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 V -1/2) (pow.f64 (/.f64 l A) -1/2)) |
(pow.f64 (*.f64 V (/.f64 l A)) -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 V -1/2) (pow.f64 (/.f64 l A) -1/2)) |
(pow.f64 (*.f64 V (/.f64 l A)) -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 V -1/2) (pow.f64 (/.f64 l A) -1/2)) |
(pow.f64 (*.f64 V (/.f64 l A)) -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 V -1/2) (pow.f64 (/.f64 l A) -1/2)) |
(pow.f64 (*.f64 V (/.f64 l A)) -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 V -1/2) (pow.f64 (/.f64 l A) -1/2)) |
(pow.f64 (*.f64 V (/.f64 l A)) -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 V -1/2) (pow.f64 (/.f64 l A) -1/2)) |
(pow.f64 (*.f64 V (/.f64 l A)) -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 V -1/2) (pow.f64 (/.f64 l A) -1/2)) |
(pow.f64 (*.f64 V (/.f64 l A)) -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 V -1/2) (pow.f64 (/.f64 l A) -1/2)) |
(pow.f64 (*.f64 V (/.f64 l A)) -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 V -1/2) (pow.f64 (/.f64 l A) -1/2)) |
(pow.f64 (*.f64 V (/.f64 l A)) -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 V -1/2) (pow.f64 (/.f64 l A) -1/2)) |
(pow.f64 (*.f64 V (/.f64 l A)) -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 V -1/2) (pow.f64 (/.f64 l A) -1/2)) |
(pow.f64 (*.f64 V (/.f64 l A)) -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 V -1/2) (pow.f64 (/.f64 l A) -1/2)) |
(pow.f64 (*.f64 V (/.f64 l A)) -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 V -1/2) (pow.f64 (/.f64 l A) -1/2)) |
(pow.f64 (*.f64 V (/.f64 l A)) -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 V -1/2) (pow.f64 (/.f64 l A) -1/2)) |
(pow.f64 (*.f64 V (/.f64 l A)) -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 V -1/2) (pow.f64 (/.f64 l A) -1/2)) |
(pow.f64 (*.f64 V (/.f64 l A)) -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 V -1/2) (pow.f64 (/.f64 l A) -1/2)) |
(pow.f64 (*.f64 V (/.f64 l A)) -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 V -1/2) (pow.f64 (/.f64 l A) -1/2)) |
(pow.f64 (*.f64 V (/.f64 l A)) -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 V -1/2) (pow.f64 (/.f64 l A) -1/2)) |
(pow.f64 (*.f64 V (/.f64 l A)) -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 V -1/2) (pow.f64 (/.f64 l A) -1/2)) |
(pow.f64 (*.f64 V (/.f64 l A)) -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 V -1/2) (pow.f64 (/.f64 l A) -1/2)) |
(pow.f64 (*.f64 V (/.f64 l A)) -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 V -1/2) (pow.f64 (/.f64 l A) -1/2)) |
(pow.f64 (*.f64 V (/.f64 l A)) -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 V -1/2) (pow.f64 (/.f64 l A) -1/2)) |
(pow.f64 (*.f64 V (/.f64 l A)) -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 V -1/2) (pow.f64 (/.f64 l A) -1/2)) |
(pow.f64 (*.f64 V (/.f64 l A)) -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 V -1/2) (pow.f64 (/.f64 l A) -1/2)) |
(pow.f64 (*.f64 V (/.f64 l A)) -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 V -1/2) (pow.f64 (/.f64 l A) -1/2)) |
(pow.f64 (*.f64 V (/.f64 l A)) -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 V -1/2) (pow.f64 (/.f64 l A) -1/2)) |
(pow.f64 (*.f64 V (/.f64 l A)) -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 V -1/2) (pow.f64 (/.f64 l A) -1/2)) |
(pow.f64 (*.f64 V (/.f64 l A)) -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 V -1/2) (pow.f64 (/.f64 l A) -1/2)) |
(pow.f64 (*.f64 V (/.f64 l A)) -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 V -1/2) (pow.f64 (/.f64 l A) -1/2)) |
(pow.f64 (*.f64 V (/.f64 l A)) -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 V -1/2) (pow.f64 (/.f64 l A) -1/2)) |
(pow.f64 (*.f64 V (/.f64 l A)) -1/2) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 V (/.f64 l A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 V (/.f64 l A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 V (/.f64 l A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 V (/.f64 l A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 V (/.f64 l A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 V (/.f64 l A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 V (/.f64 l A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 V (/.f64 l A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 V (/.f64 l A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 V (/.f64 l A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 V (/.f64 l A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 V (/.f64 l A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 V (/.f64 l A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 V (/.f64 l A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 V (/.f64 l A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 V (/.f64 l A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 V (/.f64 l A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 V (/.f64 l A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 V (/.f64 l A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 V (/.f64 l A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 V (/.f64 l A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 V (/.f64 l A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 V (/.f64 l A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 V (/.f64 l A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 V (/.f64 l A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 V (/.f64 l A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 V (/.f64 l A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 V (/.f64 l A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 V (/.f64 l A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 V (/.f64 l A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 V (/.f64 l A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 V (/.f64 l A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 V (/.f64 l A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 V (/.f64 l A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 V (/.f64 l A)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 V (/.f64 l 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 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 13.8b | (sqrt.f64 (/.f64 (/.f64 A V) l)) | |
| 6.3b | (/.f64 (/.f64 A V) l) | |
| 1.0b | (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) | |
| ✓ | 1.0b | (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) |
| 6.3b | (/.f64 (/.f64 A V) l) | |
| 13.8b | (sqrt.f64 (/.f64 (/.f64 A V) l)) |
Compiled 30 to 8 computations (73.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | A | @ | inf | (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) |
| 0.0ms | A | @ | 0 | (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) |
| 0.0ms | l | @ | -inf | (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) |
| 0.0ms | V | @ | -inf | (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) |
| 0.0ms | A | @ | -inf | (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) |
| 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 | 12 |
| 1 | 191 | 12 |
| 2 | 2647 | 12 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))))) 2)) (cbrt.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))))) (sqrt.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 A (*.f64 V l)) (*.f64 c0 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) |
| 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 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 8.9b | (sqrt.f64 (*.f64 l V)) | |
| 0.5b | (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0) | |
| 0.2b | (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) | |
| ✓ | 0.2b | (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) |
| ✓ | 0.5b | (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0) |
| ✓ | 8.9b | (sqrt.f64 (*.f64 l V)) |
Compiled 33 to 9 computations (72.7% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | l | @ | 0 | (sqrt.f64 (*.f64 l V)) |
| 2.0ms | V | @ | -inf | (sqrt.f64 (*.f64 l V)) |
| 1.0ms | V | @ | -inf | (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0) |
| 1.0ms | V | @ | -inf | (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) |
| 1.0ms | l | @ | -inf | (sqrt.f64 (*.f64 l V)) |
| 1× | batch-egg-rewrite |
| 563× | log-prod_binary64 |
| 409× | exp-prod_binary64 |
| 370× | pow-prod-down_binary64 |
| 262× | pow2_binary64 |
| 227× | pow-unpow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 27 |
| 1 | 206 | 27 |
| 2 | 2680 | 27 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 l V)) |
(*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0) |
(/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 l V)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 l V)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 l V))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 l V)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 l V)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 l V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 l V) 1/6) (cbrt.f64 (*.f64 l V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 l V)) (pow.f64 (*.f64 l V) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 l V) 1/4) (pow.f64 (*.f64 l V) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 l) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 V) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 l V) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 l V)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 l V) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 l V) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 l V) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 l V) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 l V)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 l V) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log.f64 (*.f64 l V)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 l V)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 l V))))) (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 l V)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 l V) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 l V)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 l V))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 l V))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 l V) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 l V) 1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 l V)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 l V)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 l V))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 l V)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 A) (/.f64 (sqrt.f64 (*.f64 l V)) c0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (*.f64 l V)) (*.f64 (sqrt.f64 A) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 l V)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sqrt.f64 A) c0)) (neg.f64 (sqrt.f64 (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 A) c0) 1) (sqrt.f64 (*.f64 l V)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 A) c0) (cbrt.f64 (*.f64 l V))) (pow.f64 (*.f64 l V) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 A) c0) (pow.f64 (*.f64 l V) 1/4)) (pow.f64 (*.f64 l V) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 l)) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 A)) c0) (neg.f64 (sqrt.f64 (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c0 (neg.f64 (sqrt.f64 A))) (neg.f64 (sqrt.f64 (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A))) 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 (*.f64 l V) A))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 l V)) (*.f64 (sqrt.f64 A) c0)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A))))) 2)) (cbrt.f64 (log.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))))) (sqrt.f64 (log.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A))))))))) (#(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 (exp.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 c0) 1) (log.f64 (sqrt.f64 (/.f64 (*.f64 l V) A)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 A) c0)) (*.f64 (log.f64 (*.f64 l V)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 A) c0)) (*.f64 (log.f64 (sqrt.f64 (*.f64 l V))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 l V) A))))))))) |
((#(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 A) (pow.f64 (*.f64 l V) -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 A) (*.f64 (pow.f64 A 1/6) (pow.f64 (*.f64 l V) -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 A 1/4) (*.f64 (pow.f64 A 1/4) (pow.f64 (*.f64 l V) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 A)) (/.f64 1 (neg.f64 (sqrt.f64 (*.f64 l V)))))))) (#(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 (/.f64 (cbrt.f64 A) 1) (/.f64 (pow.f64 A 1/6) (sqrt.f64 (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 A 1/4) 1) (/.f64 (pow.f64 A 1/4) (sqrt.f64 (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 l V))) (/.f64 (sqrt.f64 A) (pow.f64 (*.f64 l V) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 (*.f64 l V))) (pow.f64 (/.f64 A (*.f64 l V)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 A 1/4) (cbrt.f64 (*.f64 l V))) (/.f64 (pow.f64 A 1/4) (pow.f64 (*.f64 l V) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 l V) -1/4) (/.f64 (sqrt.f64 A) (pow.f64 (*.f64 l V) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 A) (pow.f64 (*.f64 l V) 1/4)) (/.f64 (pow.f64 A 1/6) (pow.f64 (*.f64 l V) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 l -1/2) (/.f64 (sqrt.f64 A) (sqrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 A) (sqrt.f64 l)) (/.f64 (pow.f64 A 1/6) (sqrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 A 1/4) (sqrt.f64 l)) (/.f64 (pow.f64 A 1/4) (sqrt.f64 V)))))) (#(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 (*.f64 l V) A)) -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 A 3/2) (pow.f64 (*.f64 l V) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 l V) A)) 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 A) (neg.f64 (sqrt.f64 (*.f64 l V)))))))) (#(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 A 3/2) (pow.f64 (*.f64 l V) 3/2)))))) (#(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 (*.f64 l V) A))) -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 exp.f64 (-.f64 (*.f64 (log.f64 A) 1/2) (log.f64 (sqrt.f64 (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 A)) 1) (log.f64 (sqrt.f64 (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (sqrt.f64 A)) (*.f64 (log.f64 (*.f64 l V)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 A) 1/2) (*.f64 (log.f64 (*.f64 l V)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 A)) 1) (*.f64 (log.f64 (*.f64 l V)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (sqrt.f64 A)) (*.f64 (log.f64 (sqrt.f64 (*.f64 l V))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 A) 1/2) (*.f64 (log.f64 (sqrt.f64 (*.f64 l V))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 A)) 1) (*.f64 (log.f64 (sqrt.f64 (*.f64 l V))) 1)))))) (#(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))))))))) |
| 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 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 12.2b | (sqrt.f64 (/.f64 (neg.f64 A) l)) | |
| 0.9b | (*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) c0) | |
| 0.3b | (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) | |
| ✓ | 0.3b | (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) |
| ✓ | 0.9b | (*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) c0) |
| ✓ | 12.2b | (sqrt.f64 (/.f64 (neg.f64 A) l)) |
Compiled 44 to 11 computations (75% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | V | @ | -inf | (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) |
| 1.0ms | A | @ | 0 | (sqrt.f64 (/.f64 (neg.f64 A) l)) |
| 1.0ms | A | @ | -inf | (*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) c0) |
| 1.0ms | A | @ | -inf | (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) |
| 1.0ms | A | @ | inf | (sqrt.f64 (/.f64 (neg.f64 A) l)) |
| 1× | batch-egg-rewrite |
| 606× | log-prod_binary64 |
| 372× | 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 | 3690 | 27 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (/.f64 (neg.f64 A) l)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) c0) |
(/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 A l)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 A l)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 A l))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 A l))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 A l))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 A l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 A l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 A l)) (pow.f64 (/.f64 A l) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A l) 1/6) (cbrt.f64 (/.f64 A l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A l) 1/4) (pow.f64 (/.f64 A l) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 A) (pow.f64 l -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 A l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 l A)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 l) (sqrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 A) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 A) (sqrt.f64 (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 A)) (neg.f64 (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 A l) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 A l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A l) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A l) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A l) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 A l)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A l) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A l) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 l A) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 l A)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 l) (sqrt.f64 A)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 A l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 A l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 A l)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 A l) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 A l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 A l)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A l))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 A l))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 A l)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.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 l)) (/.f64 (sqrt.f64 V) c0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 V) (*.f64 (sqrt.f64 (/.f64 A l)) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0)) (neg.f64 (sqrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) 1) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (cbrt.f64 V)) (pow.f64 V 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 A l)) c0) (pow.f64 V 1/4)) (pow.f64 V 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 A l))) c0) (neg.f64 (sqrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c0 (neg.f64 (sqrt.f64 (/.f64 A l)))) (neg.f64 (sqrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 c0 c0) (/.f64 A (*.f64 V l))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 V) (*.f64 (sqrt.f64 (/.f64 A l)) c0)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 c0 c0) (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x 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 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 +.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 l)) (pow.f64 V -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 A l)) (*.f64 (pow.f64 (/.f64 A l) 1/6) (pow.f64 V -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/6) (cbrt.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 A (*.f64 V l))) (pow.f64 (/.f64 A (*.f64 V l)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A l) 1/4) (*.f64 (pow.f64 (/.f64 A l) 1/4) (pow.f64 V -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/4) (pow.f64 (/.f64 A (*.f64 V l)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 A l))) (/.f64 1 (neg.f64 (sqrt.f64 V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 V -1/2) (sqrt.f64 (/.f64 A l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 A l)) (cbrt.f64 V)) (pow.f64 (/.f64 A (*.f64 V l)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 A l)) 1) (/.f64 (pow.f64 (/.f64 A l) 1/6) (sqrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 A l) 1/4) 1) (/.f64 (pow.f64 (/.f64 A l) 1/4) (sqrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 V)) (/.f64 (sqrt.f64 (/.f64 A l)) (pow.f64 V 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 A l) 1/4) (cbrt.f64 V)) (/.f64 (pow.f64 (/.f64 A l) 1/4) (pow.f64 V 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 V -1/4) (/.f64 (sqrt.f64 (/.f64 A l)) (pow.f64 V 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 A l)) (pow.f64 V 1/4)) (/.f64 (pow.f64 (/.f64 A l) 1/6) (pow.f64 V 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 A (*.f64 V l)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 A l) 3/2) (pow.f64 V 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (/.f64 V (/.f64 A l))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 (/.f64 A l)) (neg.f64 (sqrt.f64 V))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 A (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 A (*.f64 V l)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 A l) 3/2) (pow.f64 V 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))))) |
| 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 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.5b | (*.f64 c0 (/.f64 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))) (sqrt.f64 l))) | |
| 0.2b | (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))) | |
| 0.2b | (/.f64 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))) (sqrt.f64 l)) | |
| ✓ | 0.2b | (/.f64 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))) (sqrt.f64 l)) |
| ✓ | 0.2b | (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))) |
| ✓ | 0.5b | (*.f64 c0 (/.f64 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))) (sqrt.f64 l))) |
Compiled 49 to 12 computations (75.5% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | A | @ | 0 | (*.f64 c0 (/.f64 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))) (sqrt.f64 l))) |
| 1.0ms | A | @ | -inf | (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))) |
| 0.0ms | A | @ | -inf | (*.f64 c0 (/.f64 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))) (sqrt.f64 l))) |
| 0.0ms | V | @ | inf | (*.f64 c0 (/.f64 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))) (sqrt.f64 l))) |
| 0.0ms | V | @ | -inf | (*.f64 c0 (/.f64 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))) (sqrt.f64 l))) |
| 1× | batch-egg-rewrite |
| 665× | log-prod_binary64 |
| 303× | pow2_binary64 |
| 286× | pow-unpow_binary64 |
| 214× | pow1/3_binary64 |
| 208× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 43 |
| 1 | 276 | 27 |
| 2 | 3842 | 27 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 c0 (/.f64 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))) (sqrt.f64 l))) |
(/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))) |
(/.f64 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))) (sqrt.f64 l)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(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 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))))) 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 c0 (sqrt.f64 (/.f64 A V)))))))) (#(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 /.f64 (neg.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V)))) (neg.f64 (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) 1) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (cbrt.f64 l)) (pow.f64 l 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (pow.f64 l 1/4)) (pow.f64 l 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 l V)))))) (#(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 (sqrt.f64 A)) (sqrt.f64 (*.f64 l V)))))) (#(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 (/.f64 A V) l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 c0 c0) (/.f64 (/.f64 A V) l)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 c0 3) (pow.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) 3) (pow.f64 c0 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 l) (*.f64 c0 (sqrt.f64 (/.f64 A V)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 c0 c0) (/.f64 (/.f64 A V) l)))))) (#(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 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 c0 3) (pow.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) 3) (pow.f64 c0 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))))))))) |
((#(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 A) (pow.f64 V -1/2))))) (#(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 (cbrt.f64 A) (*.f64 (pow.f64 A 1/6) (pow.f64 V -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 A 1/4) (*.f64 (pow.f64 A 1/4) (pow.f64 V -1/2)))))) (#(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 (neg.f64 (sqrt.f64 A)) (/.f64 1 (neg.f64 (sqrt.f64 V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 V -1/2) (sqrt.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 A) 1) (/.f64 (pow.f64 A 1/6) (sqrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 A 1/4) 1) (/.f64 (pow.f64 A 1/4) (sqrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 V)) (/.f64 (sqrt.f64 A) (pow.f64 V 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 V)) (pow.f64 (/.f64 A V) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 A 1/4) (cbrt.f64 V)) (/.f64 (pow.f64 A 1/4) (pow.f64 V 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 V -1/4) (/.f64 (sqrt.f64 A) (pow.f64 V 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 A) (pow.f64 V 1/4)) (/.f64 (pow.f64 A 1/6) (pow.f64 V 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 A V)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 A V) 1/2)))) (#(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) 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 (sqrt.f64 (/.f64 V A)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 A 3/2) (pow.f64 V 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (/.f64 V A)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 A) (neg.f64 (sqrt.f64 V))))))) (#(struct:change #<rule egg-rr> (2) ((x 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 cbrt.f64 (/.f64 (pow.f64 A 3/2) (pow.f64 V 3/2)))))) (#(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 (sqrt.f64 (/.f64 A V))) 1))))) (#(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 +.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 A) (pow.f64 (*.f64 l V) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 A) (*.f64 (pow.f64 V -1/2) (pow.f64 l -1/2)))))) (#(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 (/.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 (sqrt.f64 (/.f64 (/.f64 A V) l))) (cbrt.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 (/.f64 A V)) (*.f64 (pow.f64 (/.f64 A V) 1/6) (pow.f64 l -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) (sqrt.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(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 A) (sqrt.f64 l)) (/.f64 (pow.f64 A 1/6) (sqrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 A 1/4) (sqrt.f64 l)) (/.f64 (pow.f64 A 1/4) (sqrt.f64 V)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 A) 1) (/.f64 (pow.f64 V -1/2) (sqrt.f64 l)))))) (#(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 (sqrt.f64 A) (cbrt.f64 l)) (/.f64 (pow.f64 V -1/2) (pow.f64 l 1/6)))))) (#(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)) (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))))))) (#(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 (/.f64 (sqrt.f64 A) (pow.f64 l 1/4)) (/.f64 (pow.f64 V -1/2) (pow.f64 l 1/4)))))) (#(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 (/.f64 A V) l)) 1)))) (#(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 (pow.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) 3) 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 (sqrt.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) 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 V A)) (sqrt.f64 l)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 l V)) (sqrt.f64 A)) -1)))) (#(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 (/.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 (sqrt.f64 (/.f64 (/.f64 A V) l)) 3))))) (#(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 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 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)))))))) |
| 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 7852 to 2978 computations (62.1% saved)
25 alts after pruning (16 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 592 | 9 | 601 |
| Fresh | 4 | 7 | 11 |
| Picked | 0 | 1 | 1 |
| Done | 5 | 8 | 13 |
| Total | 601 | 25 | 626 |
| Status | Error | Program |
|---|---|---|
| ✓ | 18.2b | (*.f64 c0 (pow.f64 (*.f64 l (/.f64 V A)) -1/2)) |
| 49.2b | (/.f64 1 (/.f64 (sqrt.f64 V) (*.f64 (sqrt.f64 (/.f64 A l)) c0))) | |
| ✓ | 16.9b | (*.f64 c0 (sqrt.f64 (*.f64 (*.f64 (/.f64 1 V) (/.f64 1 l)) A))) |
| 48.1b | (/.f64 (*.f64 (*.f64 c0 (pow.f64 l -1/2)) (sqrt.f64 A)) (sqrt.f64 V)) | |
| 27.5b | (*.f64 c0 (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 A V)) 1/2)) (sqrt.f64 l))) | |
| 18.9b | (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) | |
| 48.6b | (/.f64 (/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 l)) (sqrt.f64 V)) | |
| 49.1b | (/.f64 (sqrt.f64 (/.f64 A l)) (/.f64 (sqrt.f64 V) c0)) | |
| ✓ | 25.3b | (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) |
| 36.7b | (*.f64 (/.f64 (sqrt.f64 A) (pow.f64 (cbrt.f64 (*.f64 l V)) 3/2)) c0) | |
| 38.4b | (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))) | |
| 18.6b | (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) | |
| ✓ | 26.6b | (*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) c0) |
| ✓ | 19.1b | (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) |
| ✓ | 18.7b | (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) |
| ✓ | 33.6b | (*.f64 c0 (/.f64 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))) (sqrt.f64 l))) |
| 36.5b | (*.f64 c0 (*.f64 (sqrt.f64 A) (pow.f64 (*.f64 V l) -1/2))) | |
| 16.5b | (*.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) -1/2)) | |
| ✓ | 16.5b | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 37.5b | (/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 l V))) | |
| 57.0b | (log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 l V))))) | |
| ✓ | 25.4b | (*.f64 c0 (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V)))) |
| 37.0b | (/.f64 (sqrt.f64 A) (/.f64 (sqrt.f64 (*.f64 l V)) c0)) | |
| 27.8b | (/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l)) | |
| 48.3b | (*.f64 (/.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (neg.f64 l))) (sqrt.f64 (neg.f64 V))) c0) |
Compiled 346 to 246 computations (28.9% saved)
| Inputs |
|---|
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) |
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) -1/2)) |
(*.f64 c0 (pow.f64 (*.f64 l (/.f64 V A)) -1/2)) |
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 (/.f64 1 V) A) l))) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0))) |
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A))) |
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V))))) |
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))) |
(*.f64 c0 (sqrt.f64 (*.f64 (*.f64 (/.f64 1 V) (/.f64 1 l)) A))) |
(/.f64 (sqrt.f64 (/.f64 A l)) (/.f64 (sqrt.f64 V) c0)) |
(/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 l V))) |
(/.f64 (sqrt.f64 A) (/.f64 (sqrt.f64 (*.f64 l V)) c0)) |
(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A l))) (sqrt.f64 V)) |
(*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0) |
(/.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 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 V l))) |
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) |
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) |
(*.f64 c0 (*.f64 (sqrt.f64 A) (pow.f64 (*.f64 V l) -1/2))) |
(*.f64 c0 (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V)))) |
(*.f64 c0 (*.f64 (pow.f64 (*.f64 V l) -1/2) (sqrt.f64 A))) |
(*.f64 c0 (cbrt.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2))) |
(*.f64 c0 (sqrt.f64 (pow.f64 (/.f64 l (/.f64 A V)) -1))) |
(/.f64 1 (/.f64 (sqrt.f64 V) (*.f64 (sqrt.f64 (/.f64 A l)) c0))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) c0) |
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l)))) |
(/.f64 1 (/.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 (/.f64 A V)) c0))) |
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))) |
(*.f64 c0 (/.f64 1 (/.f64 (sqrt.f64 (*.f64 V l)) (sqrt.f64 A)))) |
(*.f64 c0 (*.f64 (sqrt.f64 A) (/.f64 1 (sqrt.f64 (*.f64 V l))))) |
(/.f64 (/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 l)) (sqrt.f64 V)) |
(*.f64 c0 (/.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 V)) (sqrt.f64 l))) |
(*.f64 (/.f64 (sqrt.f64 A) (pow.f64 (cbrt.f64 (*.f64 l V)) 3/2)) c0) |
(/.f64 (*.f64 (*.f64 c0 (pow.f64 l -1/2)) (sqrt.f64 A)) (sqrt.f64 V)) |
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 3)) |
(*.f64 c0 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) 3)) |
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 3) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (neg.f64 l))) (sqrt.f64 (neg.f64 V))) c0) |
(*.f64 c0 (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 A V)) 1/2)) (sqrt.f64 l))) |
(*.f64 c0 (/.f64 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))) (sqrt.f64 l))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2) (pow.f64 c0 3))) |
(log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 l V))))) |
(log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 l V))))) |
(log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l)))) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l))) c0)) 3) |
| Outputs |
|---|
(*.f64 c0 (/.f64 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (neg.f64 V))) (sqrt.f64 l))) |
(*.f64 c0 (*.f64 (sqrt.f64 A) (pow.f64 (*.f64 V l) -1/2))) |
11 calls:
| 140.0ms | (*.f64 V l) |
| 128.0ms | V |
| 121.0ms | (sqrt.f64 (/.f64 A (*.f64 V l))) |
| 114.0ms | l |
| 85.0ms | (/.f64 A (*.f64 V l)) |
| Error | Segments | Branch |
|---|---|---|
| 15.0b | 3 | c0 |
| 6.1b | 2 | A |
| 8.3b | 3 | V |
| 7.9b | 3 | l |
| 9.3b | 5 | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 9.1b | 3 | (sqrt.f64 (/.f64 A (*.f64 V l))) |
| 9.1b | 3 | (sqrt.f64 (/.f64 A (*.f64 V l))) |
| 9.1b | 3 | (/.f64 A (*.f64 V l)) |
| 9.1b | 3 | (/.f64 A (*.f64 V l)) |
| 6.1b | 2 | (*.f64 V l) |
| 6.1b | 2 | (*.f64 V l) |
Compiled 639 to 267 computations (58.2% 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 A V) l))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) |
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) -1/2)) |
(*.f64 c0 (pow.f64 (*.f64 l (/.f64 V A)) -1/2)) |
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 (/.f64 1 V) A) l))) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0))) |
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A))) |
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V))))) |
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))) |
(*.f64 c0 (sqrt.f64 (*.f64 (*.f64 (/.f64 1 V) (/.f64 1 l)) A))) |
(/.f64 (sqrt.f64 (/.f64 A l)) (/.f64 (sqrt.f64 V) c0)) |
(/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 l V))) |
(/.f64 (sqrt.f64 A) (/.f64 (sqrt.f64 (*.f64 l V)) c0)) |
(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A l))) (sqrt.f64 V)) |
(*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0) |
(/.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 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 V l))) |
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) |
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) |
(*.f64 c0 (*.f64 (sqrt.f64 A) (pow.f64 (*.f64 V l) -1/2))) |
(*.f64 c0 (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V)))) |
(*.f64 c0 (*.f64 (pow.f64 (*.f64 V l) -1/2) (sqrt.f64 A))) |
(*.f64 c0 (cbrt.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2))) |
(*.f64 c0 (sqrt.f64 (pow.f64 (/.f64 l (/.f64 A V)) -1))) |
(/.f64 1 (/.f64 (sqrt.f64 V) (*.f64 (sqrt.f64 (/.f64 A l)) c0))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) c0) |
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l)))) |
(/.f64 1 (/.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 (/.f64 A V)) c0))) |
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))) |
(*.f64 c0 (/.f64 1 (/.f64 (sqrt.f64 (*.f64 V l)) (sqrt.f64 A)))) |
(*.f64 c0 (*.f64 (sqrt.f64 A) (/.f64 1 (sqrt.f64 (*.f64 V l))))) |
(/.f64 (/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 l)) (sqrt.f64 V)) |
(*.f64 c0 (/.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 V)) (sqrt.f64 l))) |
(*.f64 (/.f64 (sqrt.f64 A) (pow.f64 (cbrt.f64 (*.f64 l V)) 3/2)) c0) |
(/.f64 (*.f64 (*.f64 c0 (pow.f64 l -1/2)) (sqrt.f64 A)) (sqrt.f64 V)) |
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) 3)) |
(*.f64 c0 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 A V) l))) 3)) |
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 3) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (neg.f64 l))) (sqrt.f64 (neg.f64 V))) c0) |
(*.f64 c0 (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 A V)) 1/2)) (sqrt.f64 l))) |
| Outputs |
|---|
(/.f64 (*.f64 (sqrt.f64 (/.f64 A 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 A V)) (sqrt.f64 l))) |
(*.f64 c0 (*.f64 (sqrt.f64 A) (pow.f64 (*.f64 V l) -1/2))) |
11 calls:
| 186.0ms | A |
| 137.0ms | (*.f64 V l) |
| 122.0ms | (sqrt.f64 (/.f64 A (*.f64 V l))) |
| 103.0ms | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 86.0ms | V |
| Error | Segments | Branch |
|---|---|---|
| 15.0b | 3 | c0 |
| 8.6b | 4 | A |
| 10.0b | 2 | V |
| 9.6b | 2 | l |
| 9.3b | 5 | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 9.1b | 3 | (sqrt.f64 (/.f64 A (*.f64 V l))) |
| 9.1b | 3 | (sqrt.f64 (/.f64 A (*.f64 V l))) |
| 9.1b | 3 | (/.f64 A (*.f64 V l)) |
| 9.1b | 3 | (/.f64 A (*.f64 V l)) |
| 5.5b | 4 | (*.f64 V l) |
| 5.5b | 4 | (*.f64 V l) |
Compiled 571 to 247 computations (56.7% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5e-324 | 1.06804195199e-312 |
| 0.0ms | -4.539112393202982e-205 | -2.367642016300544e-206 |
| 0.0ms | -inf | -1.918401319159493e+307 |
Compiled 19 to 14 computations (26.3% saved)
| Inputs |
|---|
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) |
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) -1/2)) |
(*.f64 c0 (pow.f64 (*.f64 l (/.f64 V A)) -1/2)) |
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 (/.f64 1 V) A) l))) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0))) |
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A))) |
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V))))) |
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))) |
(*.f64 c0 (sqrt.f64 (*.f64 (*.f64 (/.f64 1 V) (/.f64 1 l)) A))) |
(/.f64 (sqrt.f64 (/.f64 A l)) (/.f64 (sqrt.f64 V) c0)) |
(/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 l V))) |
(/.f64 (sqrt.f64 A) (/.f64 (sqrt.f64 (*.f64 l V)) c0)) |
(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A l))) (sqrt.f64 V)) |
(*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0) |
(/.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 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 V l))) |
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) |
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) |
(*.f64 c0 (*.f64 (sqrt.f64 A) (pow.f64 (*.f64 V l) -1/2))) |
(*.f64 c0 (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V)))) |
(*.f64 c0 (*.f64 (pow.f64 (*.f64 V l) -1/2) (sqrt.f64 A))) |
(*.f64 c0 (cbrt.f64 (pow.f64 (/.f64 (/.f64 A V) l) 3/2))) |
(*.f64 c0 (sqrt.f64 (pow.f64 (/.f64 l (/.f64 A V)) -1))) |
(/.f64 1 (/.f64 (sqrt.f64 V) (*.f64 (sqrt.f64 (/.f64 A l)) c0))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) l)) (sqrt.f64 (neg.f64 V))) c0) |
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 (neg.f64 A) V)) (sqrt.f64 (neg.f64 l)))) |
(/.f64 1 (/.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 (/.f64 A V)) c0))) |
| Outputs |
|---|
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) |
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A))) |
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) |
(*.f64 c0 (*.f64 (sqrt.f64 A) (pow.f64 (*.f64 V l) -1/2))) |
9 calls:
| 109.0ms | (*.f64 V l) |
| 96.0ms | A |
| 75.0ms | c0 |
| 73.0ms | (sqrt.f64 (/.f64 A (*.f64 V l))) |
| 59.0ms | (*.f64 V l) |
| Error | Segments | Branch |
|---|---|---|
| 15.0b | 3 | c0 |
| 10.5b | 3 | A |
| 10.5b | 3 | V |
| 11.1b | 2 | l |
| 9.3b | 5 | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 9.1b | 3 | (sqrt.f64 (/.f64 A (*.f64 V l))) |
| 9.1b | 3 | (/.f64 A (*.f64 V l)) |
| 6.7b | 4 | (*.f64 V l) |
| 6.7b | 4 | (*.f64 V l) |
Compiled 409 to 181 computations (55.7% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5e-324 | 1.06804195199e-312 |
| 0.0ms | -4.605139606238892e-169 | -9.33610257455564e-175 |
| 0.0ms | -5.434844404691149e+138 | -2.66868249154173e+133 |
Compiled 19 to 14 computations (26.3% saved)
| Inputs |
|---|
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) |
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) -1/2)) |
(*.f64 c0 (pow.f64 (*.f64 l (/.f64 V A)) -1/2)) |
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 (/.f64 1 V) A) l))) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0))) |
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A))) |
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V))))) |
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))) |
(*.f64 c0 (sqrt.f64 (*.f64 (*.f64 (/.f64 1 V) (/.f64 1 l)) A))) |
(/.f64 (sqrt.f64 (/.f64 A l)) (/.f64 (sqrt.f64 V) c0)) |
(/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 l V))) |
(/.f64 (sqrt.f64 A) (/.f64 (sqrt.f64 (*.f64 l V)) c0)) |
(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A l))) (sqrt.f64 V)) |
(*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0) |
(/.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 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 V l))) |
(*.f64 c0 (/.f64 (sqrt.f64 A) (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 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A))) |
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) |
(*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0) |
9 calls:
| 95.0ms | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 72.0ms | V |
| 44.0ms | (*.f64 V l) |
| 44.0ms | (*.f64 V l) |
| 43.0ms | A |
| Error | Segments | Branch |
|---|---|---|
| 15.0b | 3 | c0 |
| 10.5b | 3 | A |
| 11.9b | 4 | V |
| 11.1b | 2 | l |
| 10.1b | 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)) |
| 6.7b | 4 | (*.f64 V l) |
| 6.7b | 4 | (*.f64 V l) |
Compiled 315 to 141 computations (55.2% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5e-324 | 1.06804195199e-312 |
| 0.0ms | -4.605139606238892e-169 | -9.33610257455564e-175 |
| 0.0ms | -5.434844404691149e+138 | -2.66868249154173e+133 |
Compiled 19 to 14 computations (26.3% saved)
| Inputs |
|---|
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) |
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) -1/2)) |
(*.f64 c0 (pow.f64 (*.f64 l (/.f64 V A)) -1/2)) |
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 (/.f64 1 V) A) l))) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0))) |
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A))) |
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V))))) |
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))) |
(*.f64 c0 (sqrt.f64 (*.f64 (*.f64 (/.f64 1 V) (/.f64 1 l)) A))) |
(/.f64 (sqrt.f64 (/.f64 A l)) (/.f64 (sqrt.f64 V) c0)) |
(/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 l V))) |
(/.f64 (sqrt.f64 A) (/.f64 (sqrt.f64 (*.f64 l V)) c0)) |
(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A l))) (sqrt.f64 V)) |
(*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0) |
(/.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 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 V l))) |
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V 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 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0) |
9 calls:
| 60.0ms | l |
| 50.0ms | (*.f64 V l) |
| 49.0ms | A |
| 42.0ms | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 42.0ms | (*.f64 V l) |
| Error | Segments | Branch |
|---|---|---|
| 15.0b | 3 | c0 |
| 11.4b | 4 | A |
| 13.4b | 2 | V |
| 10.5b | 5 | l |
| 10.1b | 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)) |
| 7.2b | 4 | (*.f64 V l) |
| 7.2b | 4 | (*.f64 V l) |
Compiled 306 to 139 computations (54.6% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5e-324 | 1.06804195199e-312 |
| 0.0ms | -4.605139606238892e-169 | -9.33610257455564e-175 |
| 0.0ms | -7.4165338815164755e+205 | -9.614252310204852e+183 |
Compiled 19 to 14 computations (26.3% saved)
| Inputs |
|---|
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) |
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) -1/2)) |
(*.f64 c0 (pow.f64 (*.f64 l (/.f64 V A)) -1/2)) |
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 (/.f64 1 V) A) l))) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0))) |
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A))) |
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V))))) |
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))) |
(*.f64 c0 (sqrt.f64 (*.f64 (*.f64 (/.f64 1 V) (/.f64 1 l)) A))) |
(/.f64 (sqrt.f64 (/.f64 A l)) (/.f64 (sqrt.f64 V) c0)) |
(/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 l V))) |
(/.f64 (sqrt.f64 A) (/.f64 (sqrt.f64 (*.f64 l V)) c0)) |
(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A l))) (sqrt.f64 V)) |
(*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0) |
| Outputs |
|---|
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A l))) (sqrt.f64 V)) |
(*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0) |
9 calls:
| 38.0ms | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 33.0ms | V |
| 31.0ms | c0 |
| 29.0ms | (*.f64 V l) |
| 27.0ms | (*.f64 V l) |
| Error | Segments | Branch |
|---|---|---|
| 15.0b | 3 | c0 |
| 13.3b | 2 | A |
| 13.4b | 2 | V |
| 14.8b | 2 | l |
| 11.6b | 5 | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 12.1b | 3 | (sqrt.f64 (/.f64 A (*.f64 V l))) |
| 12.1b | 3 | (/.f64 A (*.f64 V l)) |
| 11.4b | 3 | (*.f64 V l) |
| 11.4b | 3 | (*.f64 V l) |
Compiled 261 to 131 computations (49.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5e-324 | 1.06804195199e-312 |
| 0.0ms | -2.94475441e-314 | 0.0 |
Compiled 19 to 14 computations (26.3% saved)
| Inputs |
|---|
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) |
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) -1/2)) |
(*.f64 c0 (pow.f64 (*.f64 l (/.f64 V A)) -1/2)) |
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 (/.f64 1 V) A) l))) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0))) |
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A))) |
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V))))) |
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))) |
(*.f64 c0 (sqrt.f64 (*.f64 (*.f64 (/.f64 1 V) (/.f64 1 l)) A))) |
(/.f64 (sqrt.f64 (/.f64 A l)) (/.f64 (sqrt.f64 V) c0)) |
(/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 l V))) |
(/.f64 (sqrt.f64 A) (/.f64 (sqrt.f64 (*.f64 l V)) c0)) |
(/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A l))) (sqrt.f64 V)) |
| Outputs |
|---|
(/.f64 (sqrt.f64 (/.f64 A l)) (/.f64 (sqrt.f64 V) c0)) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) |
(*.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) -1/2)) |
(/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 l V))) |
9 calls:
| 35.0ms | (/.f64 A (*.f64 V l)) |
| 35.0ms | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 33.0ms | l |
| 30.0ms | V |
| 30.0ms | c0 |
| Error | Segments | Branch |
|---|---|---|
| 15.0b | 3 | c0 |
| 13.8b | 2 | A |
| 13.4b | 2 | V |
| 14.8b | 2 | l |
| 11.6b | 5 | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 12.1b | 3 | (sqrt.f64 (/.f64 A (*.f64 V l))) |
| 12.1b | 3 | (/.f64 A (*.f64 V l)) |
| 11.9b | 3 | (*.f64 V l) |
| 11.9b | 3 | (*.f64 V l) |
Compiled 252 to 129 computations (48.8% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.3456033860063955e+294 | +inf |
| 0.0ms | 2.4411251639596206e-220 | 1.6655438702426284e-198 |
| 0.0ms | -8.923501353722674e-243 | -1.3314375807176667e-258 |
| 0.0ms | -inf | -7.340409059692784e+307 |
Compiled 19 to 14 computations (26.3% saved)
| Inputs |
|---|
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) |
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) -1/2)) |
(*.f64 c0 (pow.f64 (*.f64 l (/.f64 V A)) -1/2)) |
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 (/.f64 1 V) A) l))) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0))) |
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A))) |
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V))))) |
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))) |
(*.f64 c0 (sqrt.f64 (*.f64 (*.f64 (/.f64 1 V) (/.f64 1 l)) A))) |
(/.f64 (sqrt.f64 (/.f64 A l)) (/.f64 (sqrt.f64 V) c0)) |
| Outputs |
|---|
(/.f64 (sqrt.f64 (/.f64 A l)) (/.f64 (sqrt.f64 V) c0)) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) |
(*.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) -1/2)) |
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) |
9 calls:
| 32.0ms | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 28.0ms | (*.f64 V l) |
| 26.0ms | V |
| 26.0ms | l |
| 26.0ms | A |
| Error | Segments | Branch |
|---|---|---|
| 15.0b | 3 | c0 |
| 15.1b | 3 | A |
| 13.4b | 2 | V |
| 14.8b | 3 | l |
| 11.7b | 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)) |
| 14.4b | 3 | (*.f64 V l) |
| 14.4b | 3 | (*.f64 V l) |
Compiled 225 to 120 computations (46.7% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.962361983762274e+226 | 1.1579523039391743e+228 |
| 0.0ms | 2.4411251639596206e-220 | 1.6655438702426284e-198 |
| 0.0ms | -8.923501353722674e-243 | -1.3314375807176667e-258 |
| 0.0ms | -inf | -7.340409059692784e+307 |
Compiled 19 to 14 computations (26.3% saved)
| Inputs |
|---|
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) |
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
(*.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) -1/2)) |
(*.f64 c0 (pow.f64 (*.f64 l (/.f64 V A)) -1/2)) |
(*.f64 c0 (pow.f64 (/.f64 (/.f64 A V) l) 1/2)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l))) c0) |
(*.f64 c0 (sqrt.f64 (/.f64 (*.f64 (/.f64 1 V) A) l))) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0))) |
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A))) |
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V))))) |
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))) |
(*.f64 c0 (sqrt.f64 (*.f64 (*.f64 (/.f64 1 V) (/.f64 1 l)) A))) |
| 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)))) |
9 calls:
| 26.0ms | c0 |
| 26.0ms | l |
| 25.0ms | A |
| 24.0ms | V |
| 23.0ms | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| Error | Segments | Branch |
|---|---|---|
| 15.0b | 3 | c0 |
| 15.1b | 3 | A |
| 15.0b | 3 | V |
| 14.8b | 3 | l |
| 13.7b | 4 | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 12.9b | 3 | (sqrt.f64 (/.f64 A (*.f64 V l))) |
| 12.9b | 3 | (/.f64 A (*.f64 V l)) |
| 14.4b | 3 | (*.f64 V l) |
| 14.4b | 3 | (*.f64 V l) |
Compiled 216 to 116 computations (46.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.5124450522645546e+305 | +inf |
| 0.0ms | 0.0 | 5.2213737e-317 |
Compiled 19 to 14 computations (26.3% saved)
| Inputs |
|---|
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) |
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) |
| Outputs |
|---|
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) |
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) |
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) |
4 calls:
| 18.0ms | A |
| 17.0ms | V |
| 9.0ms | l |
| 8.0ms | c0 |
| Error | Segments | Branch |
|---|---|---|
| 17.2b | 2 | c0 |
| 16.9b | 3 | A |
| 16.1b | 4 | V |
| 17.4b | 2 | l |
Compiled 64 to 34 computations (46.9% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 1.2470828390636654e-270 | 5.955784485302948e-268 |
| 3.0ms | -1.4851610145789388e-214 | -6.551862619678562e-224 |
| 4.0ms | -7.110114144459413e-78 | -2.633289147801189e-95 |
Compiled 279 to 194 computations (30.5% saved)
| Inputs |
|---|
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) |
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) |
| Outputs |
|---|
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) |
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) |
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) |
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) |
4 calls:
| 16.0ms | V |
| 12.0ms | A |
| 10.0ms | l |
| 9.0ms | c0 |
| Error | Segments | Branch |
|---|---|---|
| 17.2b | 2 | c0 |
| 16.9b | 3 | A |
| 16.1b | 4 | V |
| 17.4b | 2 | l |
Compiled 56 to 31 computations (44.6% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 1.2470828390636654e-270 | 5.955784485302948e-268 |
| 3.0ms | -1.4851610145789388e-214 | -6.551862619678562e-224 |
| 5.0ms | -7.110114144459413e-78 | -2.633289147801189e-95 |
Compiled 97 to 68 computations (29.9% saved)
Total -8.7b remaining (-54%)
Threshold costs -8.7b (-54%)
| Inputs |
|---|
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) |
| Outputs |
|---|
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) |
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) |
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) |
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) |
4 calls:
| 13.0ms | V |
| 11.0ms | A |
| 11.0ms | l |
| 8.0ms | c0 |
| Error | Segments | Branch |
|---|---|---|
| 17.3b | 2 | c0 |
| 17.0b | 3 | A |
| 16.2b | 4 | V |
| 17.5b | 2 | l |
Compiled 48 to 28 computations (41.7% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 1.2470828390636654e-270 | 5.955784485302948e-268 |
| 3.0ms | -1.4851610145789388e-214 | -6.551862619678562e-224 |
| 5.0ms | -7.110114144459413e-78 | -2.633289147801189e-95 |
Compiled 97 to 68 computations (29.9% saved)
| 1× | egg-herbie |
| 21× | *-commutative_binary64 |
| 4× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 4× | neg-sub0_binary64 |
| 4× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 135 | 974 |
| 1 | 160 | 974 |
| 2 | 169 | 974 |
| 3 | 175 | 974 |
| 4 | 178 | 974 |
| 5 | 179 | 974 |
| 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 (sqrt.f64 A) (pow.f64 (*.f64 V l) -1/2)))) |
(if (<=.f64 (*.f64 V l) -inf.0) (/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l)) (if (<=.f64 (*.f64 V l) -144589514685860736/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))) (if (<=.f64 (*.f64 V l) 16384/3316158518186977171087283760642741158699936149735704467159471849921418683482035763477878926564345847729145083728966646356210626353328840324989147544629059746554141479347263264595425816446455256534872353644097455203319930608430165174159005378955830171087831965898486080345430665055936553487340789901656166618033483630075818541056) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) (*.f64 c0 (*.f64 (sqrt.f64 A) (pow.f64 (*.f64 V l) -1/2)))))) |
(if (<=.f64 (*.f64 V l) -5000000000000000164207812446024630394935062831798058477561567131293735034493939977720006578138637063419747523921612177893242453171057459200) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) (if (<=.f64 (*.f64 V l) -6798566308054619/16996415770136547158066822609678996074546979767265021542382212422412913915547271767653200072487337141404458543559888032491090538804886631661104639320530795262202600666732583009015300096) (*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A))) (if (<=.f64 (*.f64 V l) 16384/3316158518186977171087283760642741158699936149735704467159471849921418683482035763477878926564345847729145083728966646356210626353328840324989147544629059746554141479347263264595425816446455256534872353644097455203319930608430165174159005378955830171087831965898486080345430665055936553487340789901656166618033483630075818541056) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) (*.f64 c0 (*.f64 (sqrt.f64 A) (pow.f64 (*.f64 V l) -1/2)))))) |
(if (<=.f64 (*.f64 V l) -5000000000000000164207812446024630394935062831798058477561567131293735034493939977720006578138637063419747523921612177893242453171057459200) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) (if (<=.f64 (*.f64 V l) -6798566308054619/16996415770136547158066822609678996074546979767265021542382212422412913915547271767653200072487337141404458543559888032491090538804886631661104639320530795262202600666732583009015300096) (*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A))) (if (<=.f64 (*.f64 V l) 16384/3316158518186977171087283760642741158699936149735704467159471849921418683482035763477878926564345847729145083728966646356210626353328840324989147544629059746554141479347263264595425816446455256534872353644097455203319930608430165174159005378955830171087831965898486080345430665055936553487340789901656166618033483630075818541056) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0)))) |
(if (<=.f64 (*.f64 V l) -50000000000000001944678877554419421565368624647601006667151191003845647144692448381539982803938850693663230155970606645676585305704718780827009183610634470177217293131308471772283227903827973109661120331776) (/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l)) (if (<=.f64 (*.f64 V l) -6798566308054619/16996415770136547158066822609678996074546979767265021542382212422412913915547271767653200072487337141404458543559888032491090538804886631661104639320530795262202600666732583009015300096) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (if (<=.f64 (*.f64 V l) 16384/3316158518186977171087283760642741158699936149735704467159471849921418683482035763477878926564345847729145083728966646356210626353328840324989147544629059746554141479347263264595425816446455256534872353644097455203319930608430165174159005378955830171087831965898486080345430665055936553487340789901656166618033483630075818541056) (/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l)) (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0)))) |
(if (<=.f64 (*.f64 V l) -2024022533/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (if (<=.f64 (*.f64 V l) 16384/3316158518186977171087283760642741158699936149735704467159471849921418683482035763477878926564345847729145083728966646356210626353328840324989147544629059746554141479347263264595425816446455256534872353644097455203319930608430165174159005378955830171087831965898486080345430665055936553487340789901656166618033483630075818541056) (/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A l))) (sqrt.f64 V)) (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0))) |
(if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) -inf.0) (/.f64 (sqrt.f64 (/.f64 A l)) (/.f64 (sqrt.f64 V) c0)) (if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) -615015778615681024/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) 5087291284850963/12718228212127407596740439969484820932664410252219978638451114295509409404406799452822555925124271947370395489870897751704957583721388559494711601357137355892362895163562802426267773219894054460008554489394925312007314201426461145956352) (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) (if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) 4000000000000000265745870964992412474188624682345169817941844429507426986511536202334179561386750279217624483134269842672150977168644203563511501549484480799043083520312156500519197890424535819759537314298453172822735743878269394362925424082877062539868472495006549574074367874961805717981364224) (*.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) -1/2)) (/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 l V))))))) |
(if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) -inf.0) (/.f64 (sqrt.f64 (/.f64 A l)) (/.f64 (sqrt.f64 V) c0)) (if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) -615015778615681024/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) 5087291284850963/12718228212127407596740439969484820932664410252219978638451114295509409404406799452822555925124271947370395489870897751704957583721388559494711601357137355892362895163562802426267773219894054460008554489394925312007314201426461145956352) (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) (if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) 50000000000000004641673518601159954844517422622525385549225694063461714040984789960014820604544131271471563404911386848873613068925538235484773792943686604067961981752493137735453512646120016981018974140087018752579040234700800) (*.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) -1/2)) (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))))))) |
(if (<=.f64 (/.f64 A (*.f64 V l)) 0) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) (if (<=.f64 (/.f64 A (*.f64 V l)) 199999999999999987850710501107292437200805744402346499063815431426464091260264678056866185148810154968737122361123243451574343874852720610604715976817337655499746028833640220821354205063248818116874396050971031981532793651016436653190982245392158996106920698373251448128152087616919197241498086962762874880) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))))) |
(if (<=.f64 V -21359870359209100/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 V -5087291284850963/50872912848509630386961759877939283730657641008879914553804457182037637617627197811290223700497087789481581959483591006819830334885554237978846405428549423569451580654251209705071092879576217840034217957579701248029256805705844583825408) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) (if (<=.f64 V 12181642514249998336/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976) (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)))) |
(if (<=.f64 V -21359870359209100/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 V -5087291284850963/50872912848509630386961759877939283730657641008879914553804457182037637617627197811290223700497087789481581959483591006819830334885554237978846405428549423569451580654251209705071092879576217840034217957579701248029256805705844583825408) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) (if (<=.f64 V 1487016908477783/148701690847778306279806249814990056013126020165939445905577185931594065716040437354516831449615635058979872379019297305045458524554490570779083058110239462578297084044745987394268640983429773687023919578235143720606774870687788008815709894034865808301204510545414391282376534881468416) (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))))) |
(if (<=.f64 V -21359870359209100/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 V -5087291284850963/50872912848509630386961759877939283730657641008879914553804457182037637617627197811290223700497087789481581959483591006819830334885554237978846405428549423569451580654251209705071092879576217840034217957579701248029256805705844583825408) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) (if (<=.f64 V 1487016908477783/148701690847778306279806249814990056013126020165939445905577185931594065716040437354516831449615635058979872379019297305045458524554490570779083058110239462578297084044745987394268640983429773687023919578235143720606774870687788008815709894034865808301204510545414391282376534881468416) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))))) |
(/.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 (sqrt.f64 A) (pow.f64 (*.f64 V l) -1/2)))) |
(if (<=.f64 (*.f64 V l) -inf.0) (/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l)) (if (<=.f64 (*.f64 V l) -144589514685860736/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))) (if (<=.f64 (*.f64 V l) 16384/3316158518186977171087283760642741158699936149735704467159471849921418683482035763477878926564345847729145083728966646356210626353328840324989147544629059746554141479347263264595425816446455256534872353644097455203319930608430165174159005378955830171087831965898486080345430665055936553487340789901656166618033483630075818541056) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) (*.f64 c0 (*.f64 (sqrt.f64 A) (pow.f64 (*.f64 V l) -1/2)))))) |
(if (<=.f64 (*.f64 V l) -inf.0) (/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l)) (if (<=.f64 (*.f64 V l) -1129605583483287/2824013958708217496949108842204627863351353911851577524683401930862693830361198499905873920995229996970897865498283996578123296865878390947626553088486946106430796091482716120572632072492703527723757359478834530365734912) (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))) (if (<=.f64 (*.f64 V l) 1/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) (*.f64 c0 (*.f64 (sqrt.f64 A) (pow.f64 (*.f64 V l) -1/2)))))) |
(if (<=.f64 (*.f64 V l) -inf.0) (/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l)) (if (<=.f64 (*.f64 V l) -1129605583483287/2824013958708217496949108842204627863351353911851577524683401930862693830361198499905873920995229996970897865498283996578123296865878390947626553088486946106430796091482716120572632072492703527723757359478834530365734912) (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 V (neg.f64 l))))) (if (<=.f64 (*.f64 V l) 1/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) (*.f64 c0 (*.f64 (sqrt.f64 A) (pow.f64 (*.f64 V l) -1/2)))))) |
(if (<=.f64 (*.f64 V l) -5000000000000000164207812446024630394935062831798058477561567131293735034493939977720006578138637063419747523921612177893242453171057459200) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) (if (<=.f64 (*.f64 V l) -6798566308054619/16996415770136547158066822609678996074546979767265021542382212422412913915547271767653200072487337141404458543559888032491090538804886631661104639320530795262202600666732583009015300096) (*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A))) (if (<=.f64 (*.f64 V l) 16384/3316158518186977171087283760642741158699936149735704467159471849921418683482035763477878926564345847729145083728966646356210626353328840324989147544629059746554141479347263264595425816446455256534872353644097455203319930608430165174159005378955830171087831965898486080345430665055936553487340789901656166618033483630075818541056) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) (*.f64 c0 (*.f64 (sqrt.f64 A) (pow.f64 (*.f64 V l) -1/2)))))) |
(if (<=.f64 (*.f64 V l) -5000000000000000164207812446024630394935062831798058477561567131293735034493939977720006578138637063419747523921612177893242453171057459200) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) (if (<=.f64 (*.f64 V l) -6798566308054619/16996415770136547158066822609678996074546979767265021542382212422412913915547271767653200072487337141404458543559888032491090538804886631661104639320530795262202600666732583009015300096) (*.f64 c0 (sqrt.f64 (*.f64 A (/.f64 1 (*.f64 V l))))) (if (<=.f64 (*.f64 V l) 1/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) (*.f64 c0 (*.f64 (sqrt.f64 A) (pow.f64 (*.f64 V l) -1/2)))))) |
(if (<=.f64 (*.f64 V l) -5000000000000000164207812446024630394935062831798058477561567131293735034493939977720006578138637063419747523921612177893242453171057459200) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) (if (<=.f64 (*.f64 V l) -6798566308054619/16996415770136547158066822609678996074546979767265021542382212422412913915547271767653200072487337141404458543559888032491090538804886631661104639320530795262202600666732583009015300096) (*.f64 c0 (sqrt.f64 (*.f64 (/.f64 1 (*.f64 V l)) A))) (if (<=.f64 (*.f64 V l) 16384/3316158518186977171087283760642741158699936149735704467159471849921418683482035763477878926564345847729145083728966646356210626353328840324989147544629059746554141479347263264595425816446455256534872353644097455203319930608430165174159005378955830171087831965898486080345430665055936553487340789901656166618033483630075818541056) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0)))) |
(if (<=.f64 (*.f64 V l) -5000000000000000164207812446024630394935062831798058477561567131293735034493939977720006578138637063419747523921612177893242453171057459200) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) (if (<=.f64 (*.f64 V l) -6798566308054619/16996415770136547158066822609678996074546979767265021542382212422412913915547271767653200072487337141404458543559888032491090538804886631661104639320530795262202600666732583009015300096) (*.f64 c0 (sqrt.f64 (*.f64 A (/.f64 1 (*.f64 V l))))) (if (<=.f64 (*.f64 V l) 1/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (*.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) -50000000000000001944678877554419421565368624647601006667151191003845647144692448381539982803938850693663230155970606645676585305704718780827009183610634470177217293131308471772283227903827973109661120331776) (/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l)) (if (<=.f64 (*.f64 V l) -6798566308054619/16996415770136547158066822609678996074546979767265021542382212422412913915547271767653200072487337141404458543559888032491090538804886631661104639320530795262202600666732583009015300096) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (if (<=.f64 (*.f64 V l) 16384/3316158518186977171087283760642741158699936149735704467159471849921418683482035763477878926564345847729145083728966646356210626353328840324989147544629059746554141479347263264595425816446455256534872353644097455203319930608430165174159005378955830171087831965898486080345430665055936553487340789901656166618033483630075818541056) (/.f64 (*.f64 (sqrt.f64 (/.f64 A V)) c0) (sqrt.f64 l)) (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0)))) |
(if (<=.f64 (*.f64 V l) -50000000000000001944678877554419421565368624647601006667151191003845647144692448381539982803938850693663230155970606645676585305704718780827009183610634470177217293131308471772283227903827973109661120331776) (/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A V))) (sqrt.f64 l)) (if (<=.f64 (*.f64 V l) -6798566308054619/16996415770136547158066822609678996074546979767265021542382212422412913915547271767653200072487337141404458543559888032491090538804886631661104639320530795262202600666732583009015300096) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (if (<=.f64 (*.f64 V l) 1/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (/.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) -2024022533/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (if (<=.f64 (*.f64 V l) 16384/3316158518186977171087283760642741158699936149735704467159471849921418683482035763477878926564345847729145083728966646356210626353328840324989147544629059746554141479347263264595425816446455256534872353644097455203319930608430165174159005378955830171087831965898486080345430665055936553487340789901656166618033483630075818541056) (/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A l))) (sqrt.f64 V)) (*.f64 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 l V))) c0))) |
(if (<=.f64 (*.f64 V l) -2024022533/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (if (<=.f64 (*.f64 V l) 1/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (/.f64 (*.f64 c0 (sqrt.f64 (/.f64 A l))) (sqrt.f64 V)) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))))) |
(if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) -inf.0) (/.f64 (sqrt.f64 (/.f64 A l)) (/.f64 (sqrt.f64 V) c0)) (if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) -615015778615681024/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) 5087291284850963/12718228212127407596740439969484820932664410252219978638451114295509409404406799452822555925124271947370395489870897751704957583721388559494711601357137355892362895163562802426267773219894054460008554489394925312007314201426461145956352) (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) (if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) 4000000000000000265745870964992412474188624682345169817941844429507426986511536202334179561386750279217624483134269842672150977168644203563511501549484480799043083520312156500519197890424535819759537314298453172822735743878269394362925424082877062539868472495006549574074367874961805717981364224) (*.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) -1/2)) (/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 l V))))))) |
(if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) -inf.0) (/.f64 (sqrt.f64 (/.f64 A l)) (/.f64 (sqrt.f64 V) c0)) (if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) -75075168288047/15015033657609400459942315391018513722623519187099007073355798781525263125238463415894820397160662761697108038369410925238365381332604486523522921813279810320079453845181805154673256699778290824639959535835805252308660678089369234238529227774479195332149248) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) 5087291284850963/12718228212127407596740439969484820932664410252219978638451114295509409404406799452822555925124271947370395489870897751704957583721388559494711601357137355892362895163562802426267773219894054460008554489394925312007314201426461145956352) (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) (if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) 4000000000000000265745870964992412474188624682345169817941844429507426986511536202334179561386750279217624483134269842672150977168644203563511501549484480799043083520312156500519197890424535819759537314298453172822735743878269394362925424082877062539868472495006549574074367874961805717981364224) (*.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) -1/2)) (/.f64 (*.f64 c0 (sqrt.f64 A)) (sqrt.f64 (*.f64 V l))))))) |
(if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) -inf.0) (/.f64 (sqrt.f64 (/.f64 A l)) (/.f64 (sqrt.f64 V) c0)) (if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) -615015778615681024/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) 5087291284850963/12718228212127407596740439969484820932664410252219978638451114295509409404406799452822555925124271947370395489870897751704957583721388559494711601357137355892362895163562802426267773219894054460008554489394925312007314201426461145956352) (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) (if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) 50000000000000004641673518601159954844517422622525385549225694063461714040984789960014820604544131271471563404911386848873613068925538235484773792943686604067961981752493137735453512646120016981018974140087018752579040234700800) (*.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) -1/2)) (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))))))) |
(if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) -inf.0) (/.f64 (sqrt.f64 (/.f64 A l)) (/.f64 (sqrt.f64 V) c0)) (if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) -75075168288047/15015033657609400459942315391018513722623519187099007073355798781525263125238463415894820397160662761697108038369410925238365381332604486523522921813279810320079453845181805154673256699778290824639959535835805252308660678089369234238529227774479195332149248) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) 5087291284850963/12718228212127407596740439969484820932664410252219978638451114295509409404406799452822555925124271947370395489870897751704957583721388559494711601357137355892362895163562802426267773219894054460008554489394925312007314201426461145956352) (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) (if (<=.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) 50000000000000004641673518601159954844517422622525385549225694063461714040984789960014820604544131271471563404911386848873613068925538235484773792943686604067961981752493137735453512646120016981018974140087018752579040234700800) (*.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) -1/2)) (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))))))) |
(if (<=.f64 (/.f64 A (*.f64 V l)) 0) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) (if (<=.f64 (/.f64 A (*.f64 V l)) 199999999999999987850710501107292437200805744402346499063815431426464091260264678056866185148810154968737122361123243451574343874852720610604715976817337655499746028833640220821354205063248818116874396050971031981532793651016436653190982245392158996106920698373251448128152087616919197241498086962762874880) (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))))) |
(if (<=.f64 V -21359870359209100/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 V -5087291284850963/50872912848509630386961759877939283730657641008879914553804457182037637617627197811290223700497087789481581959483591006819830334885554237978846405428549423569451580654251209705071092879576217840034217957579701248029256805705844583825408) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) (if (<=.f64 V 12181642514249998336/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976) (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0)))) |
(if (<=.f64 V -5339967589802275/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 V -5087291284850963/50872912848509630386961759877939283730657641008879914553804457182037637617627197811290223700497087789481581959483591006819830334885554237978846405428549423569451580654251209705071092879576217840034217957579701248029256805705844583825408) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) (if (<=.f64 V 1487016908477783/1189613526782226450238449998519920448105008161327515567244617487452752525728323498836134651596925080471838979032154378440363668196435924566232664464881915700626376672357967899154149127867438189496191356625881149764854198965502304070525679152278926466409636084363315130259012279051747328) (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))))) |
(if (<=.f64 V -21359870359209100/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 V -5087291284850963/50872912848509630386961759877939283730657641008879914553804457182037637617627197811290223700497087789481581959483591006819830334885554237978846405428549423569451580654251209705071092879576217840034217957579701248029256805705844583825408) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) (if (<=.f64 V 1487016908477783/148701690847778306279806249814990056013126020165939445905577185931594065716040437354516831449615635058979872379019297305045458524554490570779083058110239462578297084044745987394268640983429773687023919578235143720606774870687788008815709894034865808301204510545414391282376534881468416) (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))))) |
(if (<=.f64 V -5339967589802275/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 V -5087291284850963/50872912848509630386961759877939283730657641008879914553804457182037637617627197811290223700497087789481581959483591006819830334885554237978846405428549423569451580654251209705071092879576217840034217957579701248029256805705844583825408) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) (if (<=.f64 V 1487016908477783/148701690847778306279806249814990056013126020165939445905577185931594065716040437354516831449615635058979872379019297305045458524554490570779083058110239462578297084044745987394268640983429773687023919578235143720606774870687788008815709894034865808301204510545414391282376534881468416) (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))))) |
(if (<=.f64 V -21359870359209100/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 V -5087291284850963/50872912848509630386961759877939283730657641008879914553804457182037637617627197811290223700497087789481581959483591006819830334885554237978846405428549423569451580654251209705071092879576217840034217957579701248029256805705844583825408) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) (if (<=.f64 V 1487016908477783/148701690847778306279806249814990056013126020165939445905577185931594065716040437354516831449615635058979872379019297305045458524554490570779083058110239462578297084044745987394268640983429773687023919578235143720606774870687788008815709894034865808301204510545414391282376534881468416) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))))) |
(if (<=.f64 V -5339967589802275/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (if (<=.f64 V -5087291284850963/50872912848509630386961759877939283730657641008879914553804457182037637617627197811290223700497087789481581959483591006819830334885554237978846405428549423569451580654251209705071092879576217840034217957579701248029256805705844583825408) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) (if (<=.f64 V 1487016908477783/148701690847778306279806249814990056013126020165939445905577185931594065716040437354516831449615635058979872379019297305045458524554490570779083058110239462578297084044745987394268640983429773687023919578235143720606774870687788008815709894034865808301204510545414391282376534881468416) (*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l))) (/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l))))))) |
(/.f64 c0 (sqrt.f64 (/.f64 V (/.f64 A l)))) |
| 1× | fuel |
Compiled 1458 to 577 computations (60.4% saved)
Loading profile data...