Details

Time bar (total: 12.4s)

sample26.0ms

Algorithm
intervals
Results
8.0ms256×pre80true
8.0ms256×body80valid

simplify88.0ms

Counts
1 → 1
Iterations
IterNodes
8103
7103
697
588
472
353
225
111
04

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ a b) (+ a b))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
8×pow1
7×add-sqr-sqrt
6×flip3-+ swap-sqr flip-+ distribute-lft-out
5×add-cube-cbrt
4×frac-times associate-*r* associate-*l*
3×add-cbrt-cube add-exp-log
2×associate-*l/ associate-*r/
1×pow2 distribute-rgt-in distribute-lft-in pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod insert-posit16 add-log-exp unswap-sqr
Counts
1 → 41
Calls
1 calls:
33.0ms
(* (+ a b) (+ a b))

series16.0ms

Counts
1 → 3
Calls
1 calls:
16.0ms
(* (+ a b) (+ a b))

simplify912.0ms

Counts
44 → 44
Iterations
IterNodes
33452
2776
1218
063

prune310.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(* a (+ a b))
0.0b
(+ (* a (+ a b)) (* b (+ a b)))
0.0b
(* b (+ a b))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
12×associate-*r/
11×add-sqr-sqrt *-un-lft-identity
8×associate-*r*
7×pow1 flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+
6×associate-*l*
5×add-log-exp
4×distribute-rgt-in distribute-lft-in frac-add
3×insert-posit16
2×associate-+l+ associate-+r+ pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
1×+-commutative sum-log distribute-rgt-out
Counts
3 → 69
Calls
3 calls:
20.0ms
(* a (+ a b))
15.0ms
(+ (* a (+ a b)) (* b (+ a b)))
17.0ms
(* b (+ a b))

series110.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(* a (+ a b))
37.0ms
(+ (* a (+ a b)) (* b (+ a b)))
31.0ms
(* b (+ a b))

simplify3.0s

Counts
78 → 78
Iterations
IterNodes
38082
21362
1344
0114

prune536.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ a (+ a b)) b)
0.0b
(+ a (+ a b))
0.0b
(+ (* a a) (* (+ a (+ a b)) b))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
10×add-log-exp
7×add-sqr-sqrt
6×distribute-lft-out
5×pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt
4×sum-log
3×flip3-+ associate-*r* flip-+ insert-posit16
2×+-commutative associate-*l/
1×associate-+r+ pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 51
Calls
3 calls:
53.0ms
(* (+ a (+ a b)) b)
13.0ms
(+ a (+ a b))
10.0ms
(+ (* a a) (* (+ a (+ a b)) b))

series114.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(* (+ a (+ a b)) b)
29.0ms
(+ a (+ a b))
27.0ms
(+ (* a a) (* (+ a (+ a b)) b))

simplify1.3s

Counts
60 → 60
Iterations
IterNodes
33984
2906
1232
085

prune508.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (* (+ a b) a) (* (* (+ a b) a) a)) (+ a b))
0.3b
(* (* (+ a b) a) a)
0.3b
(* (* (+ a b) a) (* (* (+ a b) a) a))
0.5b
(cbrt (* (* (* (+ a b) a) (* (* (+ a b) a) a)) (+ a b)))

rewrite877.0ms

Algorithm
rewrite-expression-head
Rules
160×associate-*l/
61×flip3-+ flip-+
60×frac-times
59×pow1 add-cbrt-cube add-exp-log
40×pow-prod-down prod-exp cbrt-unprod
26×cbrt-div
18×associate-*r/
8×*-un-lft-identity associate-*r*
6×add-sqr-sqrt add-cube-cbrt
4×insert-posit16 add-log-exp
3×associate-*l* *-commutative
1×cbrt-prod distribute-rgt-in distribute-lft-in pow1/3 distribute-lft-out
Counts
4 → 157
Calls
4 calls:
344.0ms
(* (* (* (+ a b) a) (* (* (+ a b) a) a)) (+ a b))
30.0ms
(* (* (+ a b) a) a)
105.0ms
(* (* (+ a b) a) (* (* (+ a b) a) a))
391.0ms
(cbrt (* (* (* (+ a b) a) (* (* (+ a b) a) a)) (+ a b)))

series179.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* (* (* (+ a b) a) (* (* (+ a b) a) a)) (+ a b))
47.0ms
(* (* (+ a b) a) a)
34.0ms
(* (* (+ a b) a) (* (* (+ a b) a) a))
33.0ms
(cbrt (* (* (* (+ a b) a) (* (* (+ a b) a) a)) (+ a b)))

simplify1.3s

Counts
169 → 169
Iterations
IterNodes
23882
1746
0224

prune1.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes56.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
211
111
07

end0.0ms

sample1.2s

Algorithm
intervals
Results
702.0ms8000×pre80true
321.0ms8000×body80valid