Time bar (total: 4.9s)
| 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)
| 1.1s | 8245× | body | 64 | valid |
| 972.0ms | 8594× | body | 64 | invalid |
| 2.0ms | 11× | body | 128 | valid |
| 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 12 to 8 computations (33.3% 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)))) |
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 |
|---|---|---|
| ▶ | 16.0b | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
Compiled 36 to 24 computations (33.3% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.1b | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| ✓ | 5.1b | (/.f64 A (*.f64 V l)) |
| ✓ | 15.5b | (sqrt.f64 (/.f64 A (*.f64 V l))) |
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | V | @ | -inf | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 3.0ms | A | @ | 0 | (sqrt.f64 (/.f64 A (*.f64 V l))) |
| 2.0ms | A | @ | 0 | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 1.0ms | A | @ | inf | (/.f64 A (*.f64 V l)) |
| 1.0ms | c0 | @ | 0 | (*.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 log1p.f64 (expm1.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 -.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 log1p.f64 (expm1.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 -.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 log1p.f64 (expm1.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))))))) |
| 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) |
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 79 | 12 | 91 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 79 | 13 | 92 |
| Status | Error | Program |
|---|---|---|
| 46.1b | (sqrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0))) | |
| 25.1b | (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) | |
| 17.3b | (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 3) | |
| 33.1b | (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) | |
| 33.1b | (*.f64 c0 (/.f64 1 (/.f64 (sqrt.f64 (*.f64 V l)) (sqrt.f64 A)))) | |
| ✓ | 16.0b | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 34.0b | (/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l))) | |
| 16.7b | (*.f64 c0 (sqrt.f64 (*.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)))))) | |
| 33.1b | (*.f64 c0 (*.f64 (sqrt.f64 A) (/.f64 1 (sqrt.f64 (*.f64 V l))))) | |
| 16.8b | (*.f64 c0 (sqrt.f64 (*.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)))))) | |
| 53.8b | (log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l)))) | |
| 40.8b | (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))) | |
| ▶ | 16.4b | (*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V))))) |
Compiled 1556 to 690 computations (55.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V)))) |
| ✓ | 1.1b | (*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V))))) |
| ✓ | 4.6b | (/.f64 l (/.f64 A V)) |
| ✓ | 14.9b | (sqrt.f64 (/.f64 l (/.f64 A V))) |
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | l | @ | 0 | (sqrt.f64 (/.f64 l (/.f64 A V))) |
| 4.0ms | V | @ | 0 | (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V)))) |
| 2.0ms | V | @ | -inf | (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V)))) |
| 1.0ms | V | @ | -inf | (*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V))))) |
| 1.0ms | l | @ | -inf | (*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V))))) |
| 1× | batch-egg-rewrite |
| 620× | log-prod_binary64 |
| 362× | pow-prod-down_binary64 |
| 289× | pow2_binary64 |
| 226× | pow-unpow_binary64 |
| 205× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 40 |
| 1 | 233 | 37 |
| 2 | 3148 | 37 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (/.f64 l (/.f64 A V))) |
(/.f64 l (/.f64 A V)) |
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V))))) |
(/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V)))) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 V (/.f64 l A)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 l V))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 l V)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 l V)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 l V)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 c0) 2) (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) (cbrt.f64 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 c0) (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) (sqrt.f64 c0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 c0) (neg.f64 (sqrt.f64 (*.f64 V (/.f64 l A)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c0 (pow.f64 (*.f64 V (/.f64 l A)) 1/4)) (pow.f64 (*.f64 V (/.f64 l A)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c0 1) (sqrt.f64 (*.f64 V (/.f64 l A))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 c0 (cbrt.f64 (*.f64 V (/.f64 l A)))) (pow.f64 (*.f64 V (/.f64 l A)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 c0) (neg.f64 (sqrt.f64 (*.f64 V (/.f64 l A)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c0 -1) (neg.f64 (sqrt.f64 (*.f64 V (/.f64 l A)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 c0 c0) (/.f64 A (*.f64 l V))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 c0 3) (pow.f64 (/.f64 A (*.f64 l V)) -3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 c0 c0) (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 c0 3) (pow.f64 (/.f64 A (*.f64 l V)) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 l V)))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 l V))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 A (*.f64 l V))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 V (/.f64 l A)) -1/6) (cbrt.f64 (/.f64 A (*.f64 l V))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 A (*.f64 l V))) (pow.f64 (*.f64 V (/.f64 l A)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 V (/.f64 l A)) -1/4) (pow.f64 (*.f64 V (/.f64 l A)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (*.f64 V (/.f64 l A))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 V (/.f64 l A)))) (pow.f64 (*.f64 V (/.f64 l A)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 V (/.f64 l A)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V (/.f64 l A)) 2) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V (/.f64 l A)) 3) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V (/.f64 l A)) -3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 A (*.f64 l V)) -3/2) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 V (/.f64 l A))) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V (/.f64 l A)) -1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V (/.f64 l A)) 1/6) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V (/.f64 l A)) -1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 V (/.f64 l A)) 1/4) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 A (*.f64 l V)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 V (/.f64 l A))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 A (*.f64 l V)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 A (*.f64 l V))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 V (/.f64 l A)) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 V (/.f64 l A)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 A (*.f64 l V)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 V (/.f64 l A))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 V (/.f64 l A)) -3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 V (/.f64 l A)) -1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 V (/.f64 l A)) -1/4)) 2))))) (#(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 expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 A (*.f64 l V))))))))) |
| 1× | egg-herbie |
| 4× | *-commutative_binary64 |
| 2× | associate-/r*_binary64 |
| 2× | associate-/l*_binary64 |
| 2× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 396 |
| 1 | 16 | 396 |
| 2 | 20 | 396 |
| 3 | 23 | 396 |
| 4 | 24 | 396 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
| Outputs |
|---|
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(*.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) |
14 alts after pruning (12 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 177 | 6 | 183 |
| Fresh | 5 | 6 | 11 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 182 | 14 | 196 |
| Status | Error | Program |
|---|---|---|
| 53.8b | (log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l)))) | |
| 49.1b | (*.f64 c0 (/.f64 1 (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (/.f64 (neg.f64 A) V))))) | |
| 46.1b | (sqrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0))) | |
| 25.1b | (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) | |
| 18.2b | (/.f64 (/.f64 c0 (pow.f64 (*.f64 V (/.f64 l A)) 1/4)) (pow.f64 (*.f64 V (/.f64 l A)) 1/4)) | |
| 40.8b | (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))) | |
| 18.5b | (pow.f64 (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0) -1) | |
| 33.1b | (*.f64 c0 (/.f64 1 (/.f64 (sqrt.f64 (*.f64 V l)) (sqrt.f64 A)))) | |
| ✓ | 16.0b | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| ▶ | 18.1b | (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))) |
| 48.7b | (*.f64 c0 (/.f64 1 (*.f64 (sqrt.f64 (/.f64 l A)) (sqrt.f64 V)))) | |
| 25.1b | (*.f64 c0 (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V)))) | |
| 33.1b | (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) | |
| ✓ | 16.4b | (*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V))))) |
Compiled 2838 to 1311 computations (53.8% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.1b | (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))) |
| ✓ | 6.3b | (*.f64 V (/.f64 l A)) |
| ✓ | 14.9b | (sqrt.f64 (*.f64 V (/.f64 l A))) |
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | A | @ | inf | (sqrt.f64 (*.f64 V (/.f64 l A))) |
| 1.0ms | V | @ | 0 | (sqrt.f64 (*.f64 V (/.f64 l A))) |
| 0.0ms | V | @ | -inf | (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))) |
| 0.0ms | l | @ | -inf | (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))) |
| 0.0ms | A | @ | -inf | (/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))) |
| 1× | batch-egg-rewrite |
| 538× | log-prod_binary64 |
| 402× | exp-prod_binary64 |
| 331× | pow-prod-down_binary64 |
| 257× | pow2_binary64 |
| 202× | pow-unpow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 28 |
| 1 | 191 | 28 |
| 2 | 2609 | 28 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 V (/.f64 l A))) |
(*.f64 V (/.f64 l A)) |
(/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 (*.f64 V l) A)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 V l) A))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 V l) A))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 V l) A))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (*.f64 V l) A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 V l) A)) (pow.f64 (/.f64 (*.f64 V l) A) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 V l) A) 1/6) (cbrt.f64 (/.f64 (*.f64 V l) A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 l A)) (sqrt.f64 V))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 V) (sqrt.f64 (/.f64 l A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 V l) A) 1/4) (pow.f64 (/.f64 (*.f64 V l) A) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 V l)) (sqrt.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 V l) A) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 V l) A) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 V l) A) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 V l) A) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 V l) A)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 V l) A) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 V l) A) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (/.f64 (*.f64 V l) A))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log.f64 (/.f64 (*.f64 V l) A)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 V l) A))))) (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 V l) A))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 V l) A) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 V l) A))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 V l) A)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 V l) A))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (/.f64 (*.f64 V l) A))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 V l) A) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (/.f64 (*.f64 V l) A))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 V l) A)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 V l) A)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 V l) A))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (*.f64 V l) A))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 V l) A))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 V) (/.f64 l A))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 V) (/.f64 l A)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 V) (/.f64 l A)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 V) (/.f64 l A)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 V l) A))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 V (/.f64 A l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 A (*.f64 V l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 V l) A)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 V l)) (neg.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 V l) 1) A)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 V l) (cbrt.f64 (*.f64 A A))) (cbrt.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 V l) (sqrt.f64 A)) (sqrt.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 l) V) (neg.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 V (neg.f64 l)) (neg.f64 A))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 V l) A) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 V l) A) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 V l) A) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 V l) A) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 V l) A)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 V l) A) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 V l) A) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (*.f64 V l) A)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 A (*.f64 V l)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (*.f64 V l) A))) 2)) (cbrt.f64 (log.f64 (/.f64 (*.f64 V l) A))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 V l) A)))) (sqrt.f64 (log.f64 (/.f64 (*.f64 V l) A))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 V l) A) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 V) (/.f64 l A)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 V l) A))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 V l) A) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 V l) A)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 V l) A)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 V l) A))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 (*.f64 V l) A))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 V l) A) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 V l) A))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 V l) A)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 V l) A)) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 V l) A))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 V) 1) (log.f64 (/.f64 A l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 V l)) (*.f64 (log.f64 A) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 V l) A)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 V l) A))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 c0) 2) (*.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (*.f64 V l) A) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))) (cbrt.f64 (/.f64 (*.f64 c0 c0) (/.f64 (*.f64 V l) A))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 c0 c0) (/.f64 (*.f64 V l) A))) (cbrt.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c0) (*.f64 (sqrt.f64 c0) (pow.f64 (/.f64 (*.f64 V l) A) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))) (sqrt.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 c0) (/.f64 1 (neg.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 V l) A) -1/2) c0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c0) 2) 1) (/.f64 (cbrt.f64 c0) (sqrt.f64 (/.f64 (*.f64 V l) A))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c0) 1) (/.f64 (sqrt.f64 c0) (sqrt.f64 (/.f64 (*.f64 V l) A))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (/.f64 (*.f64 V l) A))) (/.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c0) 2) (cbrt.f64 (/.f64 (*.f64 V l) A))) (cbrt.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c0) (cbrt.f64 (/.f64 (*.f64 V l) A))) (/.f64 (sqrt.f64 c0) (pow.f64 (/.f64 (*.f64 V l) A) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 V -1/2) (/.f64 c0 (sqrt.f64 (/.f64 l A))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c0) 2) (sqrt.f64 V)) (/.f64 (cbrt.f64 c0) (sqrt.f64 (/.f64 l A))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 c0) (sqrt.f64 V)) (/.f64 (sqrt.f64 c0) (sqrt.f64 (/.f64 l A))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 V l) A) -1/4) (/.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 c0) 2) (pow.f64 (/.f64 (*.f64 V l) A) 1/4)) (/.f64 (cbrt.f64 c0) (pow.f64 (/.f64 (*.f64 V l) A) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 c0 c0) (/.f64 (*.f64 V l) A)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) c0) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 c0 3) (pow.f64 (/.f64 (*.f64 V l) A) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) c0) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))) 2)) (cbrt.f64 (log.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))))) (sqrt.f64 (log.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 c0 (neg.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 c0 c0) (/.f64 (*.f64 V l) A)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 c0 3) (pow.f64 (/.f64 (*.f64 V l) A) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)) c0)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 c0) 1) (log.f64 (sqrt.f64 (/.f64 (*.f64 V l) A)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 c0) (*.f64 (log.f64 (/.f64 (*.f64 V l) A)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 c0) 1) (*.f64 (log.f64 (/.f64 (*.f64 V l) A)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 c0) (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 V l) A))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 c0) 1) (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 V l) A))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 c0 (sqrt.f64 (/.f64 (*.f64 V l) A))))))))) |
| 1× | egg-herbie |
| 4× | *-commutative_binary64 |
| 2× | associate-/r*_binary64 |
| 2× | associate-/l*_binary64 |
| 2× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 396 |
| 1 | 16 | 396 |
| 2 | 20 | 396 |
| 3 | 23 | 396 |
| 4 | 24 | 396 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(/.f64 (*.f64 V l) A) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
| Outputs |
|---|
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(/.f64 (*.f64 V l) A) |
(/.f64 V (/.f64 A l)) |
(*.f64 (/.f64 V A) l) |
(*.f64 (/.f64 l A) V) |
(/.f64 l (/.f64 A V)) |
(*.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) |
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 133 | 6 | 139 |
| Fresh | 5 | 6 | 11 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 1 | 2 |
| Total | 140 | 13 | 153 |
| Status | Error | Program |
|---|---|---|
| 33.1b | (/.f64 c0 (/.f64 (sqrt.f64 (*.f64 V l)) (sqrt.f64 A))) | |
| ▶ | 15.7b | (*.f64 (pow.f64 (/.f64 (*.f64 V l) A) -1/4) (/.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) 1/4))) |
| 16.6b | (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) | |
| 49.1b | (*.f64 c0 (/.f64 1 (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (/.f64 (neg.f64 A) V))))) | |
| 53.8b | (log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l)))) | |
| 48.7b | (/.f64 c0 (*.f64 (sqrt.f64 (/.f64 l A)) (sqrt.f64 V))) | |
| 16.3b | (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) | |
| 33.1b | (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) | |
| 15.8b | (/.f64 c0 (sqrt.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 V l) A) 1/4) 4))) | |
| 25.1b | (*.f64 c0 (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V)))) | |
| 25.1b | (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) | |
| 40.8b | (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))) | |
| ✓ | 16.0b | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
Compiled 2151 to 869 computations (59.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 (pow.f64 (/.f64 (*.f64 V l) A) -1/4) (/.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) 1/4))) |
| ✓ | 5.3b | (/.f64 (*.f64 V l) A) |
| ✓ | 16.5b | (pow.f64 (/.f64 (*.f64 V l) A) 1/4) |
| ✓ | 16.6b | (pow.f64 (/.f64 (*.f64 V l) A) -1/4) |
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 44.0ms | l | @ | -inf | (pow.f64 (/.f64 (*.f64 V l) A) -1/4) |
| 38.0ms | V | @ | 0 | (pow.f64 (/.f64 (*.f64 V l) A) -1/4) |
| 22.0ms | l | @ | 0 | (pow.f64 (/.f64 (*.f64 V l) A) -1/4) |
| 19.0ms | A | @ | -inf | (pow.f64 (/.f64 (*.f64 V l) A) -1/4) |
| 17.0ms | A | @ | inf | (pow.f64 (/.f64 (*.f64 V l) A) -1/4) |
| 1× | batch-egg-rewrite |
| 716× | log-prod_binary64 |
| 357× | pow2_binary64 |
| 276× | pow-unpow_binary64 |
| 249× | pow1/3_binary64 |
| 242× | expm1-udef_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 52 |
| 1 | 285 | 40 |
| 2 | 3698 | 39 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (/.f64 (*.f64 V l) A) -1/4) |
(pow.f64 (/.f64 (*.f64 V l) A) 1/4) |
(/.f64 (*.f64 V l) A) |
(*.f64 (pow.f64 (/.f64 (*.f64 V l) A) -1/4) (/.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) 1/4))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 (/.f64 V A) l) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 (/.f64 V A) l) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/12) (cbrt.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 A (*.f64 V l)))) (pow.f64 (*.f64 (/.f64 V A) l) -1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/8) (pow.f64 (*.f64 (/.f64 V A) l) -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 V l) -1/4) (pow.f64 A 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 -1/4) (pow.f64 (*.f64 (/.f64 V A) l) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 V A) l)) -1/2) (pow.f64 (*.f64 (/.f64 V A) l) -1/12))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (*.f64 (/.f64 V A) l) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (*.f64 (/.f64 V A) l) 1/4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/8) (pow.f64 (*.f64 (/.f64 V A) l) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (pow.f64 (*.f64 (/.f64 V A) l) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 V A) l) 1/12) -2) (pow.f64 (*.f64 (/.f64 V A) l) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (sqrt.f64 (/.f64 A (*.f64 V l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 V A) l) -3/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/4 (log.f64 (*.f64 (/.f64 V A) l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/4 (log.f64 (*.f64 (/.f64 V A) l))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/4))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 (/.f64 V A) l) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 V A) l) 1/4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 V A) l) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 V A) l) 1/4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 V A) l) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (/.f64 V A) l) 1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 V A) l) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 (/.f64 V A) l) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 V A) l) 1/12) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 V A) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 V A) l))) (pow.f64 (*.f64 (/.f64 V A) l) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 V A) l) 1/8) (pow.f64 (*.f64 (/.f64 V A) l) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 V A) l))) (pow.f64 (*.f64 (/.f64 V A) l) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 V l) 1/4) (pow.f64 A -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/4) (pow.f64 (*.f64 (/.f64 V A) l) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 V A) l) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (/.f64 V A) l) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 V A) l) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/4 (log.f64 (*.f64 (/.f64 V A) l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 (/.f64 V A) l))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 (/.f64 V A) l) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 (/.f64 V A) l) 1/4))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 V A) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 V A) l))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 V A) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 V A) l)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 V A) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 V A) l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 V (/.f64 1 (/.f64 A l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 V (*.f64 l (pow.f64 A -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 l (*.f64 V (pow.f64 A -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 V l) (pow.f64 A -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 V A) l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 V A) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 V A) l)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 V A) l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 V A) l)) 2) (cbrt.f64 (*.f64 (/.f64 V A) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 V l)) 2) (*.f64 (cbrt.f64 (*.f64 V l)) (pow.f64 A -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) (sqrt.f64 (*.f64 (/.f64 V A) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 V l)) (*.f64 (sqrt.f64 (*.f64 V l)) (pow.f64 A -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 V (neg.f64 l)) (/.f64 1 (neg.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 A -1) (*.f64 V l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 V 1) (/.f64 l A))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 l 1) (/.f64 V A))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 V A) l)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 V l)) 2) 1) (/.f64 (cbrt.f64 (*.f64 V l)) A))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 V l)) 1) (/.f64 (sqrt.f64 (*.f64 V l)) A))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 V (pow.f64 (cbrt.f64 A) 2)) (/.f64 l (cbrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 l (pow.f64 (cbrt.f64 A) 2)) (/.f64 V (cbrt.f64 A)))))) (#(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 (/.f64 (pow.f64 (cbrt.f64 (*.f64 V l)) 2) (pow.f64 (cbrt.f64 A) 2)) (cbrt.f64 (*.f64 (/.f64 V A) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 V l)) (pow.f64 (cbrt.f64 A) 2)) (/.f64 (sqrt.f64 (*.f64 V l)) (cbrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 V (sqrt.f64 A)) (/.f64 l (sqrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 l (sqrt.f64 A)) (/.f64 V (sqrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 A -1/2) (/.f64 (*.f64 V l) (sqrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 V l)) 2) (sqrt.f64 A)) (/.f64 (cbrt.f64 (*.f64 V l)) (sqrt.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 V A) l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 V A) l) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 V A) l) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 V A) l) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 V A) l)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 A (*.f64 V l)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 V l) 3) (pow.f64 A 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 A (*.f64 V l)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 V l) (neg.f64 A)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 V A) l) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 V A) l)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 V A) l))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 V A) l) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 V l) 3) (pow.f64 A 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 V A) l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 V A) l)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 V A) l)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 V A) l))))))) |
((#(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 (pow.f64 (*.f64 (/.f64 V A) l) -1/4) (/.f64 (pow.f64 (*.f64 (/.f64 V A) l) 1/4) c0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/4) c0) (pow.f64 (*.f64 (/.f64 V A) l) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (*.f64 (/.f64 V A) l) 1/4) (*.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/4) c0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/4) c0)) (neg.f64 (pow.f64 (*.f64 (/.f64 V A) l) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/4) c0) 1) (pow.f64 (*.f64 (/.f64 V A) l) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/4) c0) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 V A) l)))) (pow.f64 (*.f64 (/.f64 V A) l) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/4) c0) (pow.f64 (*.f64 (/.f64 V A) l) 1/8)) (pow.f64 (*.f64 (/.f64 V A) l) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 c0) (pow.f64 (*.f64 (/.f64 V A) l) -1/4)) (neg.f64 (pow.f64 (*.f64 (/.f64 V A) l) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/4) (neg.f64 c0)) (neg.f64 (pow.f64 (*.f64 (/.f64 V A) l) 1/4)))))) (#(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 (pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) 2) 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 (*.f64 (pow.f64 (*.f64 (/.f64 V A) l) -3/4) (pow.f64 (*.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/4) c0) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/4) c0) 3) (pow.f64 (*.f64 (/.f64 V A) l) -3/4)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 V A) l) 1/4) (*.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/4) c0)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) 2))))) (#(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 cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 V A) l) -3/4) (pow.f64 (*.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/4) c0) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/4) c0) 3) (pow.f64 (*.f64 (/.f64 V A) l) -3/4)))))) (#(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 log1p.f64 (expm1.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))))))))) |
| 1× | egg-herbie |
| 724× | fma-neg_binary64 |
| 685× | exp-sum_binary64 |
| 625× | times-frac_binary64 |
| 544× | fma-def_binary64 |
| 419× | exp-diff_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 1296 |
| 1 | 269 | 1296 |
| 2 | 715 | 1080 |
| 3 | 1662 | 864 |
| 4 | 4803 | 864 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (*.f64 -1/4 (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))) |
(exp.f64 (*.f64 -1/4 (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))) |
(exp.f64 (*.f64 -1/4 (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))) |
(exp.f64 (*.f64 -1/4 (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))) |
(exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 V))) (log.f64 (/.f64 l A))))) |
(exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 V))) (log.f64 (/.f64 l A))))) |
(exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 V))) (log.f64 (/.f64 l A))))) |
(exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 V))) (log.f64 (/.f64 l A))))) |
(exp.f64 (*.f64 -1/4 (+.f64 (log.f64 (*.f64 -1 (/.f64 l A))) (*.f64 -1 (log.f64 (/.f64 -1 V)))))) |
(exp.f64 (*.f64 -1/4 (+.f64 (log.f64 (*.f64 -1 (/.f64 l A))) (*.f64 -1 (log.f64 (/.f64 -1 V)))))) |
(exp.f64 (*.f64 -1/4 (+.f64 (log.f64 (*.f64 -1 (/.f64 l A))) (*.f64 -1 (log.f64 (/.f64 -1 V)))))) |
(exp.f64 (*.f64 -1/4 (+.f64 (log.f64 (*.f64 -1 (/.f64 l A))) (*.f64 -1 (log.f64 (/.f64 -1 V)))))) |
(exp.f64 (*.f64 -1/4 (+.f64 (log.f64 (/.f64 V A)) (log.f64 l)))) |
(exp.f64 (*.f64 -1/4 (+.f64 (log.f64 (/.f64 V A)) (log.f64 l)))) |
(exp.f64 (*.f64 -1/4 (+.f64 (log.f64 (/.f64 V A)) (log.f64 l)))) |
(exp.f64 (*.f64 -1/4 (+.f64 (log.f64 (/.f64 V A)) (log.f64 l)))) |
(exp.f64 (*.f64 -1/4 (+.f64 (log.f64 (/.f64 V A)) (*.f64 -1 (log.f64 (/.f64 1 l)))))) |
(exp.f64 (*.f64 -1/4 (+.f64 (log.f64 (/.f64 V A)) (*.f64 -1 (log.f64 (/.f64 1 l)))))) |
(exp.f64 (*.f64 -1/4 (+.f64 (log.f64 (/.f64 V A)) (*.f64 -1 (log.f64 (/.f64 1 l)))))) |
(exp.f64 (*.f64 -1/4 (+.f64 (log.f64 (/.f64 V A)) (*.f64 -1 (log.f64 (/.f64 1 l)))))) |
(exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 l))) (log.f64 (*.f64 -1 (/.f64 V A)))))) |
(exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 l))) (log.f64 (*.f64 -1 (/.f64 V A)))))) |
(exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 l))) (log.f64 (*.f64 -1 (/.f64 V A)))))) |
(exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 l))) (log.f64 (*.f64 -1 (/.f64 V A)))))) |
(exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 A)) (log.f64 (*.f64 V l))))) |
(exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 A)) (log.f64 (*.f64 V l))))) |
(exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 A)) (log.f64 (*.f64 V l))))) |
(exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 A)) (log.f64 (*.f64 V l))))) |
(exp.f64 (*.f64 -1/4 (+.f64 (log.f64 (/.f64 1 A)) (log.f64 (*.f64 V l))))) |
(exp.f64 (*.f64 -1/4 (+.f64 (log.f64 (/.f64 1 A)) (log.f64 (*.f64 V l))))) |
(exp.f64 (*.f64 -1/4 (+.f64 (log.f64 (/.f64 1 A)) (log.f64 (*.f64 V l))))) |
(exp.f64 (*.f64 -1/4 (+.f64 (log.f64 (/.f64 1 A)) (log.f64 (*.f64 V l))))) |
(exp.f64 (*.f64 -1/4 (+.f64 (log.f64 (*.f64 -1 (*.f64 V l))) (log.f64 (/.f64 -1 A))))) |
(exp.f64 (*.f64 -1/4 (+.f64 (log.f64 (*.f64 -1 (*.f64 V l))) (log.f64 (/.f64 -1 A))))) |
(exp.f64 (*.f64 -1/4 (+.f64 (log.f64 (*.f64 -1 (*.f64 V l))) (log.f64 (/.f64 -1 A))))) |
(exp.f64 (*.f64 -1/4 (+.f64 (log.f64 (*.f64 -1 (*.f64 V l))) (log.f64 (/.f64 -1 A))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 V))) (log.f64 (/.f64 l A))))) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 V))) (log.f64 (/.f64 l A))))) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 V))) (log.f64 (/.f64 l A))))) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 V))) (log.f64 (/.f64 l A))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -1 (/.f64 l A))) (*.f64 -1 (log.f64 (/.f64 -1 V)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -1 (/.f64 l A))) (*.f64 -1 (log.f64 (/.f64 -1 V)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -1 (/.f64 l A))) (*.f64 -1 (log.f64 (/.f64 -1 V)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -1 (/.f64 l A))) (*.f64 -1 (log.f64 (/.f64 -1 V)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 V A)) (log.f64 l)))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 V A)) (log.f64 l)))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 V A)) (log.f64 l)))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 V A)) (log.f64 l)))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 V A)) (*.f64 -1 (log.f64 (/.f64 1 l)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 V A)) (*.f64 -1 (log.f64 (/.f64 1 l)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 V A)) (*.f64 -1 (log.f64 (/.f64 1 l)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 V A)) (*.f64 -1 (log.f64 (/.f64 1 l)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 l))) (log.f64 (*.f64 -1 (/.f64 V A)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 l))) (log.f64 (*.f64 -1 (/.f64 V A)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 l))) (log.f64 (*.f64 -1 (/.f64 V A)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 l))) (log.f64 (*.f64 -1 (/.f64 V A)))))) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 A)) (log.f64 (*.f64 V l))))) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 A)) (log.f64 (*.f64 V l))))) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 A)) (log.f64 (*.f64 V l))))) |
(exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 A)) (log.f64 (*.f64 V l))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 A)) (log.f64 (*.f64 V l))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 A)) (log.f64 (*.f64 V l))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 A)) (log.f64 (*.f64 V l))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (/.f64 1 A)) (log.f64 (*.f64 V l))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -1 (*.f64 V l))) (log.f64 (/.f64 -1 A))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -1 (*.f64 V l))) (log.f64 (/.f64 -1 A))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -1 (*.f64 V l))) (log.f64 (/.f64 -1 A))))) |
(exp.f64 (*.f64 1/4 (+.f64 (log.f64 (*.f64 -1 (*.f64 V l))) (log.f64 (/.f64 -1 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 -1/4 (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))) |
(pow.f64 (exp.f64 -1/4) (+.f64 (log.f64 V) (log.f64 (/.f64 l A)))) |
(*.f64 (pow.f64 (/.f64 V A) -1/4) (pow.f64 l -1/4)) |
(pow.f64 (*.f64 (/.f64 l A) V) -1/4) |
(pow.f64 (/.f64 l (/.f64 A V)) -1/4) |
(exp.f64 (*.f64 -1/4 (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))) |
(pow.f64 (exp.f64 -1/4) (+.f64 (log.f64 V) (log.f64 (/.f64 l A)))) |
(*.f64 (pow.f64 (/.f64 V A) -1/4) (pow.f64 l -1/4)) |
(pow.f64 (*.f64 (/.f64 l A) V) -1/4) |
(pow.f64 (/.f64 l (/.f64 A V)) -1/4) |
(exp.f64 (*.f64 -1/4 (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))) |
(pow.f64 (exp.f64 -1/4) (+.f64 (log.f64 V) (log.f64 (/.f64 l A)))) |
(*.f64 (pow.f64 (/.f64 V A) -1/4) (pow.f64 l -1/4)) |
(pow.f64 (*.f64 (/.f64 l A) V) -1/4) |
(pow.f64 (/.f64 l (/.f64 A V)) -1/4) |
(exp.f64 (*.f64 -1/4 (+.f64 (log.f64 V) (log.f64 (/.f64 l A))))) |
(pow.f64 (exp.f64 -1/4) (+.f64 (log.f64 V) (log.f64 (/.f64 l A)))) |
(*.f64 (pow.f64 (/.f64 V A) -1/4) (pow.f64 l -1/4)) |
(pow.f64 (*.f64 (/.f64 l A) V) -1/4) |
(pow.f64 (/.f64 l (/.f64 A V)) -1/4) |
(exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 V))) (log.f64 (/.f64 l A))))) |
(pow.f64 (exp.f64 -1/4) (+.f64 (log.f64 V) (log.f64 (/.f64 l A)))) |
(*.f64 (pow.f64 (/.f64 V A) -1/4) (pow.f64 l -1/4)) |
(pow.f64 (*.f64 (/.f64 l A) V) -1/4) |
(pow.f64 (/.f64 l (/.f64 A V)) -1/4) |
(exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 V))) (log.f64 (/.f64 l A))))) |
(pow.f64 (exp.f64 -1/4) (+.f64 (log.f64 V) (log.f64 (/.f64 l A)))) |
(*.f64 (pow.f64 (/.f64 V A) -1/4) (pow.f64 l -1/4)) |
(pow.f64 (*.f64 (/.f64 l A) V) -1/4) |
(pow.f64 (/.f64 l (/.f64 A V)) -1/4) |
(exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 V))) (log.f64 (/.f64 l A))))) |
(pow.f64 (exp.f64 -1/4) (+.f64 (log.f64 V) (log.f64 (/.f64 l A)))) |
(*.f64 (pow.f64 (/.f64 V A) -1/4) (pow.f64 l -1/4)) |
(pow.f64 (*.f64 (/.f64 l A) V) -1/4) |
(pow.f64 (/.f64 l (/.f64 A V)) -1/4) |
(exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 V))) (log.f64 (/.f64 l A))))) |
(pow.f64 (exp.f64 -1/4) (+.f64 (log.f64 V) (log.f64 (/.f64 l A)))) |
(*.f64 (pow.f64 (/.f64 V A) -1/4) (pow.f64 l -1/4)) |
(pow.f64 (*.f64 (/.f64 l A) V) -1/4) |
(pow.f64 (/.f64 l (/.f64 A V)) -1/4) |
(exp.f64 (*.f64 -1/4 (+.f64 (log.f64 (*.f64 -1 (/.f64 l A))) (*.f64 -1 (log.f64 (/.f64 -1 V)))))) |
(pow.f64 (exp.f64 -1/4) (+.f64 (log.f64 V) (log.f64 (/.f64 l A)))) |
(*.f64 (pow.f64 (/.f64 V A) -1/4) (pow.f64 l -1/4)) |
(pow.f64 (*.f64 (/.f64 l A) V) -1/4) |
(pow.f64 (/.f64 l (/.f64 A V)) -1/4) |
(exp.f64 (*.f64 -1/4 (+.f64 (log.f64 (*.f64 -1 (/.f64 l A))) (*.f64 -1 (log.f64 (/.f64 -1 V)))))) |
(pow.f64 (exp.f64 -1/4) (+.f64 (log.f64 V) (log.f64 (/.f64 l A)))) |
(*.f64 (pow.f64 (/.f64 V A) -1/4) (pow.f64 l -1/4)) |
(pow.f64 (*.f64 (/.f64 l A) V) -1/4) |
(pow.f64 (/.f64 l (/.f64 A V)) -1/4) |
(exp.f64 (*.f64 -1/4 (+.f64 (log.f64 (*.f64 -1 (/.f64 l A))) (*.f64 -1 (log.f64 (/.f64 -1 V)))))) |
(pow.f64 (exp.f64 -1/4) (+.f64 (log.f64 V) (log.f64 (/.f64 l A)))) |
(*.f64 (pow.f64 (/.f64 V A) -1/4) (pow.f64 l -1/4)) |
(pow.f64 (*.f64 (/.f64 l A) V) -1/4) |
(pow.f64 (/.f64 l (/.f64 A V)) -1/4) |
(exp.f64 (*.f64 -1/4 (+.f64 (log.f64 (*.f64 -1 (/.f64 l A))) (*.f64 -1 (log.f64 (/.f64 -1 V)))))) |
(pow.f64 (exp.f64 -1/4) (+.f64 (log.f64 V) (log.f64 (/.f64 l A)))) |
(*.f64 (pow.f64 (/.f64 V A) -1/4) (pow.f64 l -1/4)) |
(pow.f64 (*.f64 (/.f64 l A) V) -1/4) |
(pow.f64 (/.f64 l (/.f64 A V)) -1/4) |
(exp.f64 (*.f64 -1/4 (+.f64 (log.f64 (/.f64 V A)) (log.f64 l)))) |
(pow.f64 (exp.f64 -1/4) (+.f64 (log.f64 V) (log.f64 (/.f64 l A)))) |
(*.f64 (pow.f64 (/.f64 V A) -1/4) (pow.f64 l -1/4)) |
(pow.f64 (*.f64 (/.f64 l A) V) -1/4) |
(pow.f64 (/.f64 l (/.f64 A V)) -1/4) |
(exp.f64 (*.f64 -1/4 (+.f64 (log.f64 (/.f64 V A)) (log.f64 l)))) |
(pow.f64 (exp.f64 -1/4) (+.f64 (log.f64 V) (log.f64 (/.f64 l A)))) |
(*.f64 (pow.f64 (/.f64 V A) -1/4) (pow.f64 l -1/4)) |
(pow.f64 (*.f64 (/.f64 l A) V) -1/4) |
(pow.f64 (/.f64 l (/.f64 A V)) -1/4) |
(exp.f64 (*.f64 -1/4 (+.f64 (log.f64 (/.f64 V A)) (log.f64 l)))) |
(pow.f64 (exp.f64 -1/4) (+.f64 (log.f64 V) (log.f64 (/.f64 l A)))) |
(*.f64 (pow.f64 (/.f64 V A) -1/4) (pow.f64 l -1/4)) |
(pow.f64 (*.f64 (/.f64 l A) V) -1/4) |
(pow.f64 (/.f64 l (/.f64 A V)) -1/4) |
(exp.f64 (*.f64 -1/4 (+.f64 (log.f64 (/.f64 V A)) (log.f64 l)))) |
(pow.f64 (exp.f64 -1/4) (+.f64 (log.f64 V) (log.f64 (/.f64 l A)))) |
(*.f64 (pow.f64 (/.f64 V A) -1/4) (pow.f64 l -1/4)) |
(pow.f64 (*.f64 (/.f64 l A) V) -1/4) |
(pow.f64 (/.f64 l (/.f64 A V)) -1/4) |
(exp.f64 (*.f64 -1/4 (+.f64 (log.f64 (/.f64 V A)) (*.f64 -1 (log.f64 (/.f64 1 l)))))) |
(pow.f64 (exp.f64 -1/4) (+.f64 (log.f64 V) (log.f64 (/.f64 l A)))) |
(*.f64 (pow.f64 (/.f64 V A) -1/4) (pow.f64 l -1/4)) |
(pow.f64 (*.f64 (/.f64 l A) V) -1/4) |
(pow.f64 (/.f64 l (/.f64 A V)) -1/4) |
(exp.f64 (*.f64 -1/4 (+.f64 (log.f64 (/.f64 V A)) (*.f64 -1 (log.f64 (/.f64 1 l)))))) |
(pow.f64 (exp.f64 -1/4) (+.f64 (log.f64 V) (log.f64 (/.f64 l A)))) |
(*.f64 (pow.f64 (/.f64 V A) -1/4) (pow.f64 l -1/4)) |
(pow.f64 (*.f64 (/.f64 l A) V) -1/4) |
(pow.f64 (/.f64 l (/.f64 A V)) -1/4) |
(exp.f64 (*.f64 -1/4 (+.f64 (log.f64 (/.f64 V A)) (*.f64 -1 (log.f64 (/.f64 1 l)))))) |
(pow.f64 (exp.f64 -1/4) (+.f64 (log.f64 V) (log.f64 (/.f64 l A)))) |
(*.f64 (pow.f64 (/.f64 V A) -1/4) (pow.f64 l -1/4)) |
(pow.f64 (*.f64 (/.f64 l A) V) -1/4) |
(pow.f64 (/.f64 l (/.f64 A V)) -1/4) |
(exp.f64 (*.f64 -1/4 (+.f64 (log.f64 (/.f64 V A)) (*.f64 -1 (log.f64 (/.f64 1 l)))))) |
(pow.f64 (exp.f64 -1/4) (+.f64 (log.f64 V) (log.f64 (/.f64 l A)))) |
(*.f64 (pow.f64 (/.f64 V A) -1/4) (pow.f64 l -1/4)) |
(pow.f64 (*.f64 (/.f64 l A) V) -1/4) |
(pow.f64 (/.f64 l (/.f64 A V)) -1/4) |
(exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 l))) (log.f64 (*.f64 -1 (/.f64 V A)))))) |
(pow.f64 (exp.f64 -1/4) (+.f64 (log.f64 V) (log.f64 (/.f64 l A)))) |
(*.f64 (pow.f64 (/.f64 V A) -1/4) (pow.f64 l -1/4)) |
(pow.f64 (*.f64 (/.f64 l A) V) -1/4) |
(pow.f64 (/.f64 l (/.f64 A V)) -1/4) |
(exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 l))) (log.f64 (*.f64 -1 (/.f64 V A)))))) |
(pow.f64 (exp.f64 -1/4) (+.f64 (log.f64 V) (log.f64 (/.f64 l A)))) |
(*.f64 (pow.f64 (/.f64 V A) -1/4) (pow.f64 l -1/4)) |
(pow.f64 (*.f64 (/.f64 l A) V) -1/4) |
(pow.f64 (/.f64 l (/.f64 A V)) -1/4) |
(exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 l))) (log.f64 (*.f64 -1 (/.f64 V A)))))) |
(pow.f64 (exp.f64 -1/4) (+.f64 (log.f64 V) (log.f64 (/.f64 l A)))) |
(*.f64 (pow.f64 (/.f64 V A) -1/4) (pow.f64 l -1/4)) |
(pow.f64 (*.f64 (/.f64 l A) V) -1/4) |
(pow.f64 (/.f64 l (/.f64 A V)) -1/4) |
(exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 l))) (log.f64 (*.f64 -1 (/.f64 V A)))))) |
(pow.f64 (exp.f64 -1/4) (+.f64 (log.f64 V) (log.f64 (/.f64 l A)))) |
(*.f64 (pow.f64 (/.f64 V A) -1/4) (pow.f64 l -1/4)) |
(pow.f64 (*.f64 (/.f64 l A) V) -1/4) |
(pow.f64 (/.f64 l (/.f64 A V)) -1/4) |
(exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 A)) (log.f64 (*.f64 V l))))) |
(pow.f64 (exp.f64 -1/4) (+.f64 (log.f64 V) (log.f64 (/.f64 l A)))) |
(*.f64 (pow.f64 (/.f64 V A) -1/4) (pow.f64 l -1/4)) |
(pow.f64 (*.f64 (/.f64 l A) V) -1/4) |
(pow.f64 (/.f64 l (/.f64 A V)) -1/4) |
(exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 A)) (log.f64 (*.f64 V l))))) |
(pow.f64 (exp.f64 -1/4) (+.f64 (log.f64 V) (log.f64 (/.f64 l A)))) |
(*.f64 (pow.f64 (/.f64 V A) -1/4) (pow.f64 l -1/4)) |
(pow.f64 (*.f64 (/.f64 l A) V) -1/4) |
(pow.f64 (/.f64 l (/.f64 A V)) -1/4) |
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(*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 V l))) c0) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A l) V)) c0) |
(*.f64 (sqrt.f64 (/.f64 A (*.f64 l V))) c0) |
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 195 | 3 | 198 |
| Fresh | 2 | 9 | 11 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 198 | 13 | 211 |
| Status | Error | Program |
|---|---|---|
| 16.6b | (/.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/4) (/.f64 (pow.f64 (*.f64 (/.f64 V A) l) 1/4) c0)) | |
| 25.1b | (*.f64 c0 (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V)))) | |
| 53.8b | (log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l)))) | |
| 49.1b | (*.f64 c0 (/.f64 1 (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (/.f64 (neg.f64 A) V))))) | |
| 48.7b | (/.f64 c0 (*.f64 (sqrt.f64 (/.f64 l A)) (sqrt.f64 V))) | |
| 16.3b | (/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) | |
| 33.1b | (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) | |
| 15.7b | (*.f64 (pow.f64 (*.f64 (pow.f64 A -1) (*.f64 V l)) -1/4) (/.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) 1/4))) | |
| 16.1b | (*.f64 (pow.f64 (/.f64 (*.f64 V l) A) -1/4) (/.f64 c0 (pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) -1) 1/4))) | |
| 33.1b | (/.f64 c0 (/.f64 (sqrt.f64 (*.f64 V l)) (sqrt.f64 A))) | |
| 25.1b | (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) | |
| 40.8b | (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))) | |
| ✓ | 16.0b | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
Compiled 4342 to 1878 computations (56.7% saved)
Total -58.1b remaining (-990%)
Threshold costs -58.1b (-990%)
| Inputs |
|---|
(/.f64 (pow.f64 (*.f64 (/.f64 V A) l) -1/4) (/.f64 (pow.f64 (*.f64 (/.f64 V A) l) 1/4) c0)) |
(*.f64 (pow.f64 (*.f64 (pow.f64 A -1) (*.f64 V l)) -1/4) (/.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) 1/4))) |
(*.f64 (pow.f64 (/.f64 (*.f64 V l) A) -1/4) (/.f64 c0 (pow.f64 (pow.f64 (/.f64 A (*.f64 V l)) -1) 1/4))) |
(/.f64 c0 (/.f64 (sqrt.f64 (*.f64 V l)) (sqrt.f64 A))) |
(*.f64 (pow.f64 (/.f64 (*.f64 V l) A) -1/4) (/.f64 c0 (pow.f64 (/.f64 (*.f64 V l) A) 1/4))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0) |
(/.f64 c0 (*.f64 (sqrt.f64 (/.f64 l A)) (sqrt.f64 V))) |
(/.f64 c0 (sqrt.f64 (/.f64 l (/.f64 A V)))) |
(/.f64 c0 (sqrt.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 V l) A) 1/4) 4))) |
(*.f64 c0 (/.f64 1 (/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (/.f64 (neg.f64 A) V))))) |
(/.f64 (/.f64 c0 (pow.f64 (*.f64 V (/.f64 l A)) 1/4)) (pow.f64 (*.f64 V (/.f64 l A)) 1/4)) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 V (/.f64 l A))) c0) -1) |
(/.f64 c0 (sqrt.f64 (*.f64 V (/.f64 l A)))) |
(*.f64 c0 (/.f64 1 (*.f64 (sqrt.f64 (/.f64 l A)) (sqrt.f64 V)))) |
(*.f64 c0 (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V)))) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 A V) l) (*.f64 c0 c0))) |
(*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) |
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 A V) l)) c0)) 3) |
(*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l)))) |
(*.f64 c0 (/.f64 1 (/.f64 (sqrt.f64 (*.f64 V l)) (sqrt.f64 A)))) |
(/.f64 (*.f64 (sqrt.f64 A) c0) (sqrt.f64 (*.f64 V l))) |
(*.f64 c0 (sqrt.f64 (*.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)))))) |
(*.f64 c0 (*.f64 (sqrt.f64 A) (/.f64 1 (sqrt.f64 (*.f64 V l))))) |
(*.f64 c0 (sqrt.f64 (*.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)))))) |
(log.f64 (pow.f64 (exp.f64 c0) (sqrt.f64 (/.f64 (/.f64 A V) l)))) |
(*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))) |
(*.f64 c0 (/.f64 1 (sqrt.f64 (/.f64 l (/.f64 A V))))) |
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| Outputs |
|---|
(*.f64 c0 (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V)))) |
(*.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) (sqrt.f64 (*.f64 V l)))) |
| 32.0ms | 15.7b | c0 |
| 40.0ms | 8.4b | A |
| 76.0ms | 11.3b | V |
| 67.0ms | 7.6b | l |
| 49.0ms | 11.0b | (*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l)))) |
| 27.0ms | 11.0b | (sqrt.f64 (/.f64 A (*.f64 V l))) |
| 56.0ms | 11.0b | (/.f64 A (*.f64 V l)) |
| 50.0ms | 5.9b | (*.f64 V l) |
| 81.0ms | 5.9b | (*.f64 V l) |
Compiled 414 to 184 computations (55.6% saved)
| 3× | left-value |
3 calls:
| 0.0ms | (*.f64 V l) |
| 0.0ms | (*.f64 V l) |
| 0.0ms | (*.f64 V l) |
| Iters | Point | Range | ||||
|---|---|---|---|---|---|---|
-0.0 | ∈ [ | -0.0 | , | 9.2292447e-316 | ] | |
-5e-295 | ∈ [ | -6.227953095916601e-295 | , | -4.86168463947998e-295 | ] | |
-2e+253 | ∈ [ | -2.587665206897394e+253 | , | -1.1701875661716471e+243 | ] | |
Compiled 19 to 14 computations (26.3% saved)
| 1× | egg-herbie |
| 11× | *-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 | 36 | 88 |
| 1 | 50 | 88 |
| 2 | 59 | 88 |
| 3 | 65 | 88 |
| 4 | 68 | 88 |
| 5 | 69 | 88 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (*.f64 V l) -19999999999999998727174138755351835472851414655140147129678881446716312556105415097786773989173895155962070365218811384910301328330628671487544524818840011120363439405442477136257724874807996552707663947841326301554871916587599432482335939388098056552448) (*.f64 c0 (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V)))) (if (<=.f64 (*.f64 V l) -5752618031559411/11505236063118821809467553221049758295155052665230762065499525194094891251552061640493342548634082305351687288311769174890162545204122663839542235560926343960177145179191391057683342054479750023644997308933440369205641643669917624414330439074612943178454432683813523087356623740062701843509462805095950344781824) (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))) (if (<=.f64 (*.f64 V l) 0) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))))) |
| Outputs |
|---|
(if (<=.f64 (*.f64 V l) -19999999999999998727174138755351835472851414655140147129678881446716312556105415097786773989173895155962070365218811384910301328330628671487544524818840011120363439405442477136257724874807996552707663947841326301554871916587599432482335939388098056552448) (*.f64 c0 (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V)))) (if (<=.f64 (*.f64 V l) -5752618031559411/11505236063118821809467553221049758295155052665230762065499525194094891251552061640493342548634082305351687288311769174890162545204122663839542235560926343960177145179191391057683342054479750023644997308933440369205641643669917624414330439074612943178454432683813523087356623740062701843509462805095950344781824) (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 l (neg.f64 V))))) (if (<=.f64 (*.f64 V l) 0) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))))) |
(if (<=.f64 (*.f64 V l) -19999999999999998727174138755351835472851414655140147129678881446716312556105415097786773989173895155962070365218811384910301328330628671487544524818840011120363439405442477136257724874807996552707663947841326301554871916587599432482335939388098056552448) (*.f64 c0 (*.f64 (pow.f64 l -1/2) (sqrt.f64 (/.f64 A V)))) (if (<=.f64 (*.f64 V l) -5752618031559411/11505236063118821809467553221049758295155052665230762065499525194094891251552061640493342548634082305351687288311769174890162545204122663839542235560926343960177145179191391057683342054479750023644997308933440369205641643669917624414330439074612943178454432683813523087356623740062701843509462805095950344781824) (*.f64 c0 (/.f64 (sqrt.f64 (neg.f64 A)) (sqrt.f64 (*.f64 V (neg.f64 l))))) (if (<=.f64 (*.f64 V l) 0) (*.f64 c0 (/.f64 (sqrt.f64 (/.f64 A V)) (sqrt.f64 l))) (*.f64 c0 (/.f64 (sqrt.f64 A) (sqrt.f64 (*.f64 V l))))))) |
| 1× | fuel |
Compiled 244 to 136 computations (44.3% saved)
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