Details

Time bar (total: 22.7s)

sample54.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
6.0ms239×pre80false
6.0ms256×pre80true

simplify4.6s

Counts
1 → 1
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
0813
11813
24711
39811
418711
533211
649811
7140811
done500111

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize9.0ms

Local error

Found 1 expressions with local error:

29.2b
(/ (* b b) (* a a))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
cbrt-undiv div-exp prod-exp cbrt-unprod
pow1 add-sqr-sqrt add-cube-cbrt frac-2neg *-un-lft-identity times-frac clear-num associate-/r* div-inv associate-/l* add-log-exp
Counts
1 → 21
Calls
1 calls:
15.0ms
(/ (* b b) (* a a))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(/ (* b b) (* a a))

simplify10.6s

Counts
24 → 24
Iterations

Useful iterations: 4 (9.2s)

IterNodesCost
046269
1120261
2461178
31775163
44471153
done5000153

prune66.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ b (* a (/ a b)))
0.3b
(* a (/ a b))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
13×times-frac associate-*r*
12×add-cube-cbrt *-un-lft-identity
cbrt-undiv div-exp
pow1 prod-exp cbrt-unprod
associate-*l* associate-/l*
associate-*r/ div-inv add-log-exp unswap-sqr
frac-2neg pow-prod-down clear-num associate-/r* associate-/r/ *-commutative
Counts
2 → 56
Calls
2 calls:
18.0ms
(/ b (* a (/ a b)))
25.0ms
(* a (/ a b))

series63.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ b (* a (/ a b)))
34.0ms
(* a (/ a b))

simplify5.4s

Counts
62 → 62
Iterations

Useful iterations: done (5.4s)

IterNodesCost
094561
1229538
2668444
32169434
done5000410

prune229.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
11211
done1211

end0.0ms

sample1.5s

Algorithm
intervals
Results
525.0ms8000×body80valid
196.0ms8000×pre80true
174.0ms8022×pre80false