Details

Time bar (total: 13.7s)

sample26.0ms

Algorithm
intervals
Results
15.0ms449×body80valid

simplify1.6s

Counts
1 → 1
Iterations

Useful iterations: 4 (28.0ms)

IterNodesCost
01119
11919
24417
39417
420911
543011
696711
7287411
done500011

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(* 3 (* x.im (* x.re x.re)))
8.6b
(* x.im (* x.re x.re))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
6×associate-*l*
5×add-sqr-sqrt
4×add-cube-cbrt *-un-lft-identity
2×associate-*r* *-commutative add-log-exp
1×unswap-sqr
Counts
2 → 40
Calls
2 calls:
18.0ms
(* 3 (* x.im (* x.re x.re)))
7.0ms
(* x.im (* x.re x.re))

series67.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* 3 (* x.im (* x.re x.re)))
33.0ms
(* x.im (* x.re x.re))

simplify1.2s

Counts
46 → 46
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
058409
1144392
2502314
31948314
done5001314

prune78.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

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:
7.0ms
(* (* x.im x.re) x.re)
21.0ms
(* 3 (* (* x.im x.re) x.re))

series63.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (* x.im x.re) x.re)
34.0ms
(* 3 (* (* x.im x.re) x.re))

simplify2.7s

Counts
45 → 45
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
060406
1167381
2706309
33746309
done5000309

prune72.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

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:
19.0ms
(* (* 3 (* x.im x.re)) x.re)
6.0ms
(* 3 (* x.im x.re))

series54.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(* (* 3 (* x.im x.re)) x.re)
22.0ms
(* 3 (* x.im x.re))

simplify3.3s

Counts
45 → 45
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
061406
1167373
2712309
34210309
done5000309

prune78.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

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:
24.0ms
(* (* (* 3 x.im) x.re) x.re)
7.0ms
(* (* 3 x.im) x.re)

series54.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* (* (* 3 x.im) x.re) x.re)
20.0ms
(* (* 3 x.im) x.re)

simplify3.3s

Counts
45 → 45
Iterations

Useful iterations: 2 (103.0ms)

IterNodesCost
060407
1167376
2806308
34567308
done5000308

prune79.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes64.0ms

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

sample740.0ms

Algorithm
intervals
Results
509.0ms14419×body80valid