Details

Time bar (total: 16.2s)

sample29.0ms

Algorithm
intervals
Results
17.0ms505×body80valid

simplify2.6s

Counts
1 → 1
Iterations

Useful iterations: 5 (182.0ms)

IterNodesCost
01119
12019
25317
313417
432112
567611
6162811
done500111

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

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:
6.0ms
(* (* x.re x.im) x.im)
21.0ms
(* 3 (* (* x.re x.im) x.im))

series54.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(* (* x.re x.im) x.im)
29.0ms
(* 3 (* (* x.re x.im) x.im))

simplify2.8s

Counts
45 → 45
Iterations

Useful iterations: 2 (104.0ms)

IterNodesCost
060406
1168381
2693309
33145309
done5001309

prune91.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

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:
17.0ms
(* (* 3 (* x.re x.im)) x.im)
6.0ms
(* 3 (* x.re x.im))

series46.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* (* 3 (* x.re x.im)) x.im)
17.0ms
(* 3 (* x.re x.im))

simplify4.1s

Counts
45 → 45
Iterations

Useful iterations: 3 (2.0s)

IterNodesCost
063406
1172373
2740313
34019309
done5000309

prune91.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

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:
23.0ms
(* (* (* 3 x.re) x.im) x.im)
6.0ms
(* (* 3 x.re) x.im)

series46.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* (* (* 3 x.re) x.im) x.im)
16.0ms
(* (* 3 x.re) x.im)

simplify3.5s

Counts
45 → 45
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
061407
1170376
2806314
33648308
done5001308

prune88.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* (sqrt 3) (* (sqrt 3) (* x.re x.im))) x.im)
0.3b
(* (sqrt 3) (* (sqrt 3) (* x.re x.im)))
0.4b
(* (sqrt 3) (* x.re x.im))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
31×pow1 add-exp-log add-cbrt-cube
19×pow-prod-down prod-exp cbrt-unprod
13×associate-*l*
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×sqrt-prod
5×associate-*r*
3×*-commutative add-log-exp
Counts
3 → 69
Calls
3 calls:
67.0ms
(* (* (sqrt 3) (* (sqrt 3) (* x.re x.im))) x.im)
19.0ms
(* (sqrt 3) (* (sqrt 3) (* x.re x.im)))
8.0ms
(* (sqrt 3) (* x.re x.im))

series208.0ms

Counts
3 → 9
Calls
3 calls:
94.0ms
(* (* (sqrt 3) (* (sqrt 3) (* x.re x.im))) x.im)
71.0ms
(* (sqrt 3) (* (sqrt 3) (* x.re x.im)))
43.0ms
(* (sqrt 3) (* x.re x.im))

simplify1.3s

Counts
78 → 78
Iterations

Useful iterations: 2 (143.0ms)

IterNodesCost
088976
1251705
21081547
done5000547

prune135.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes46.0ms

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

sample747.0ms

Algorithm
intervals
Results
513.0ms14505×body80valid