Details

Time bar (total: 11.5s)

sample69.0ms

Algorithm
intervals
Results
42.0ms479×body80valid

simplify1.5s

Counts
1 → 1

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))
0.1b
(* x.im (* x.re x.im))
0.2b
(* 3 (* x.im (* x.re x.im)))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-exp-log add-cbrt-cube
pow-prod-down prod-exp cbrt-unprod
associate-*l*
add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
associate-*r* *-commutative
sub-neg flip3-- diff-log flip--
Counts
3 → 51
Calls
3 calls:
59.0ms
(- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))
16.0ms
(* x.im (* x.re x.im))
59.0ms
(* 3 (* x.im (* x.re x.im)))

series124.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(- (pow x.re 3) (* 3 (* x.im (* x.re x.im))))
26.0ms
(* x.im (* x.re x.im))
31.0ms
(* 3 (* x.im (* x.re x.im)))

simplify594.0ms

Counts
60 → 60

prune160.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))
0.2b
(* (* 3 x.im) (* x.re x.im))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1 add-exp-log add-cbrt-cube
pow-prod-down prod-exp cbrt-unprod
add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
sub-neg flip3-- diff-log associate-*r* associate-*l* *-commutative flip--
Counts
2 → 34
Calls
2 calls:
46.0ms
(- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))
42.0ms
(* (* 3 x.im) (* x.re x.im))

series122.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(- (pow x.re 3) (* (* 3 x.im) (* x.re x.im)))
41.0ms
(* (* 3 x.im) (* x.re x.im))

simplify743.0ms

Counts
40 → 40

prune141.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))
0.1b
(* (* (* 3 x.im) x.re) x.im)
0.2b
(* (* 3 x.im) x.re)

rewrite173.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-exp-log add-cbrt-cube
pow-prod-down prod-exp cbrt-unprod
associate-*r*
add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
associate-*l* *-commutative
sub-neg flip3-- diff-log flip--
Counts
3 → 51
Calls
3 calls:
79.0ms
(- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))
74.0ms
(* (* (* 3 x.im) x.re) x.im)
18.0ms
(* (* 3 x.im) x.re)

series149.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(- (pow x.re 3) (* (* (* 3 x.im) x.re) x.im))
29.0ms
(* (* (* 3 x.im) x.re) x.im)
34.0ms
(* (* 3 x.im) x.re)

simplify781.0ms

Counts
60 → 60

prune145.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))
0.1b
(* (* 3 (* x.im x.re)) x.im)
0.2b
(* 3 (* x.im x.re))

rewrite177.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-exp-log add-cbrt-cube
pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
associate-*r* associate-*l*
*-commutative
sub-neg flip3-- diff-log flip--
Counts
3 → 51
Calls
3 calls:
68.0ms
(- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))
84.0ms
(* (* 3 (* x.im x.re)) x.im)
24.0ms
(* 3 (* x.im x.re))

series146.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(- (pow x.re 3) (* (* 3 (* x.im x.re)) x.im))
44.0ms
(* (* 3 (* x.im x.re)) x.im)
36.0ms
(* 3 (* x.im x.re))

simplify779.0ms

Counts
60 → 60

prune136.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes92.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.9s

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.8s14584×body80valid