Details

Time bar (total: 9.4s)

sample53.0ms

Algorithm
intervals
Results
29.0ms463×body80valid

simplify2.1s

Counts
1 → 1
Iterations
IterNodes
done5001
51689
4447
3160
258
121
011

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.4b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x.re x.re) (* 3 (* x.im x.im)))
0.2b
(* 3 (* x.im x.im))
7.0b
(* (- (* x.re x.re) (* 3 (* x.im x.im))) x.re)

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-cbrt-cube add-exp-log
9×add-sqr-sqrt
6×*-un-lft-identity associate-*l* add-cube-cbrt
5×add-log-exp
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×flip3-- associate-*l/ *-commutative flip-- unswap-sqr
1×sub-neg diff-log
Counts
3 → 51
Calls
3 calls:
13.0ms
(- (* x.re x.re) (* 3 (* x.im x.im)))
16.0ms
(* 3 (* x.im x.im))
24.0ms
(* (- (* x.re x.re) (* 3 (* x.im x.im))) x.re)

series183.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(- (* x.re x.re) (* 3 (* x.im x.im)))
31.0ms
(* 3 (* x.im x.im))
97.0ms
(* (- (* x.re x.re) (* 3 (* x.im x.im))) x.re)

simplify873.0ms

Counts
60 → 60
Iterations
IterNodes
done5000
21322
1253
086

prune256.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 7.3b

localize14.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (* x.im x.im) -3)
8.1b
(* x.re (* (* x.im x.im) -3))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-cbrt-cube add-exp-log
9×pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt
4×*-un-lft-identity associate-*r* associate-*l* add-cube-cbrt
2×*-commutative add-log-exp
1×unswap-sqr
Counts
2 → 40
Calls
2 calls:
21.0ms
(* (* x.im x.im) -3)
47.0ms
(* x.re (* (* x.im x.im) -3))

series86.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(* (* x.im x.im) -3)
38.0ms
(* x.re (* (* x.im x.im) -3))

simplify767.0ms

Counts
46 → 46
Iterations
IterNodes
done5001
21054
1171
062

prune267.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 2 expressions with local error:

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

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-cbrt-cube add-exp-log
9×pow-prod-down prod-exp cbrt-unprod
6×associate-*r*
4×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
2×associate-*l* *-commutative add-log-exp
Counts
2 → 39
Calls
2 calls:
22.0ms
(* (* x.im x.re) x.im)
59.0ms
(* (* (* x.im x.re) x.im) -3)

series71.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (* x.im x.re) x.im)
42.0ms
(* (* (* x.im x.re) x.im) -3)

simplify986.0ms

Counts
45 → 45
Iterations
IterNodes
done5000
21374
1174
063

prune235.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 1 expressions with local error:

0.3b
(* (* x.im x.re) (* -3 x.im))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-cbrt-cube add-exp-log
8×pow-prod-down prod-exp cbrt-unprod
1×add-sqr-sqrt *-un-lft-identity associate-*r* associate-*l* *-commutative add-cube-cbrt add-log-exp
Counts
1 → 22
Calls
1 calls:
48.0ms
(* (* x.im x.re) (* -3 x.im))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(* (* x.im x.re) (* -3 x.im))

simplify691.0ms

Counts
25 → 25
Iterations
IterNodes
done5000
2751
1134
046

prune88.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes141.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done17
117
011

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.7s14474×body80valid