Details

Time bar (total: 17.5s)

sample50.0ms

Algorithm
intervals
Results
29.0ms452×body80valid

simplify2.4s

Counts
1 → 1
Iterations

Useful iterations: 5 (242.0ms)

IterNodesCost
01119
12119
25217
314017
434614
593011
6215011
done500011

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* associate-*l*
2×*-commutative add-log-exp
Counts
2 → 39
Calls
2 calls:
44.0ms
(* 3 (* (* x.im x.re) x.im))
16.0ms
(* (* x.im x.re) x.im)

series42.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(* 3 (* (* x.im x.re) x.im))
19.0ms
(* (* x.im x.re) x.im)

simplify3.3s

Counts
45 → 45
Iterations

Useful iterations: 2 (99.0ms)

IterNodesCost
061406
1159381
2583309
32197309
done5000309

prune84.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* associate-*l*
2×*-commutative add-log-exp
Counts
2 → 39
Calls
2 calls:
46.0ms
(* (* 3 (* x.im x.re)) x.im)
15.0ms
(* 3 (* x.im x.re))

series46.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(* (* 3 (* x.im x.re)) x.im)
21.0ms
(* 3 (* x.im x.re))

simplify3.2s

Counts
45 → 45
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
061406
1162373
2628313
32755309
done5000309

prune78.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
6×associate-*r*
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
2×associate-*l* *-commutative add-log-exp
Counts
2 → 39
Calls
2 calls:
53.0ms
(* (* (* 3 x.im) x.re) x.im)
17.0ms
(* (* 3 x.im) x.re)

series43.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(* (* (* 3 x.im) x.re) x.im)
21.0ms
(* (* 3 x.im) x.re)

simplify3.3s

Counts
45 → 45
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
064407
1168376
2754314
33112308
done5000308

prune79.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-exp-log add-cbrt-cube
8×pow-prod-down prod-exp cbrt-unprod
1×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* *-commutative add-log-exp
Counts
1 → 22
Calls
1 calls:
25.0ms
(* (* 3 x.im) (* x.re x.im))

series229.0ms

Counts
1 → 3
Calls
1 calls:
229.0ms
(* (* 3 x.im) (* x.re x.im))

simplify3.4s

Counts
25 → 25
Iterations

Useful iterations: 3 (881.0ms)

IterNodesCost
046271
1130249
2547197
32436193
done5000193

prune28.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes56.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11111
done1111

end0.0ms

sample779.0ms

Algorithm
intervals
Results
482.0ms14348×body80valid