Details

Time bar (total: 11.5s)

sample50.0ms

Algorithm
intervals
Results
31.0ms475×body80valid

simplify3.5s

Counts
1 → 1
Iterations

Useful iterations: 5 (301.0ms)

IterNodesCost
01119
12019
25117
312717
432913
5108811
6491611
done500111

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite42.0ms

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:
40.0ms
(* (* 3 x.re) (* x.im x.re))

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(* (* 3 x.re) (* x.im x.re))

simplify880.0ms

Counts
25 → 25
Iterations

Useful iterations: done (879.0ms)

IterNodesCost
046271
1133249
2734197
done5001193

prune60.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
6×associate-*l*
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
2×associate-*r* *-commutative add-log-exp
Counts
2 → 39
Calls
2 calls:
21.0ms
(* x.re (* x.im x.re))
50.0ms
(* 3 (* x.re (* x.im x.re)))

series55.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(* x.re (* x.im x.re))
30.0ms
(* 3 (* x.re (* x.im x.re)))

simplify723.0ms

Counts
45 → 45
Iterations

Useful iterations: done (721.0ms)

IterNodesCost
058401
1150378
2716314
done5001306

prune130.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (* (* 3 x.re) x.im) x.re)
0.3b
(* (* 3 x.re) x.im)

rewrite95.0ms

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:
67.0ms
(* (* (* 3 x.re) x.im) x.re)
27.0ms
(* (* 3 x.re) x.im)

series64.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* (* (* 3 x.re) x.im) x.re)
26.0ms
(* (* 3 x.re) x.im)

simplify1.7s

Counts
45 → 45
Iterations

Useful iterations: 2 (398.0ms)

IterNodesCost
064407
1183382
21593318
done5001318

prune123.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite288.0ms

Algorithm
rewrite-expression-head
Rules
49×pow1 add-exp-log
33×pow-prod-down prod-exp cbrt-unprod
32×add-cbrt-cube
10×associate-*l*
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×cbrt-prod associate-*r* *-commutative add-log-exp
Counts
3 → 76
Calls
3 calls:
32.0ms
(* x.re (* x.im x.re))
179.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.re (* x.im x.re))))
72.0ms
(* (cbrt 3) (* x.re (* x.im x.re)))

series236.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* x.re (* x.im x.re))
105.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.re (* x.im x.re))))
96.0ms
(* (cbrt 3) (* x.re (* x.im x.re)))

simplify986.0ms

Counts
85 → 85
Iterations

Useful iterations: done (982.0ms)

IterNodesCost
0931138
12661091
21255765
done5001659

prune201.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes44.0ms

Accuracy

0% (0.1b 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

sample2.2s

Algorithm
intervals
Results
1.7s14288×body80valid