Details

Time bar (total: 12.1s)

sample31.0ms

Algorithm
intervals
Results
12.0ms256×pre80true
8.0ms256×body80valid

simplify86.0ms

Counts
1 → 1
Iterations
IterNodes
792
692
586
472
353
225
111
04

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite26.0ms

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:
25.0ms
(* (+ a b) (+ a b))

series17.0ms

Counts
1 → 3
Calls
1 calls:
17.0ms
(* (+ a b) (+ a b))

simplify1.0s

Counts
44 → 44
Iterations
IterNodes
33412
2772
1219
063

prune242.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite60.0ms

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:
18.0ms
(+ (* a (+ a b)) (* b (+ a b)))
24.0ms
(* a (+ a b))
17.0ms
(* b (+ a b))

series90.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(+ (* a (+ a b)) (* b (+ a b)))
29.0ms
(* a (+ a b))
29.0ms
(* b (+ a b))

simplify2.7s

Counts
78 → 78
Iterations
IterNodes
38057
21365
1346
0114

prune472.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
7×add-sqr-sqrt *-un-lft-identity flip3-+ flip-+
6×associate-*r/
5×pow1 add-cbrt-cube add-exp-log add-cube-cbrt
4×sum-log associate-*r* frac-add
3×associate-*l* insert-posit16 distribute-lft-out
2×distribute-rgt-in +-commutative associate-+r+ distribute-lft-in
1×associate-+l+ distribute-rgt-out pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 58
Calls
3 calls:
9.0ms
(+ (* a a) (* a b))
24.0ms
(+ (+ (* a a) (* a b)) (* b (+ a b)))
16.0ms
(* b (+ a b))

series119.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(+ (* a a) (* a b))
36.0ms
(+ (+ (* a a) (* a b)) (* b (+ a b)))
40.0ms
(* b (+ a b))

simplify4.0s

Counts
67 → 67
Iterations
IterNodes
39847
21583
1372
0113

prune454.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ a b))
0.0b
(sqrt (+ a b))
0.3b
(* (sqrt (+ a b)) (+ a b))
0.3b
(* (sqrt (+ a b)) (* (sqrt (+ a b)) (+ a b)))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
46×sqrt-div
35×flip3-+ flip-+
32×frac-times
30×pow1
21×*-un-lft-identity
19×add-sqr-sqrt
17×sqrt-prod
16×associate-*r/
15×pow-prod-up
14×associate-*l*
12×sqrt-pow1 pow1/2
11×add-cbrt-cube add-exp-log add-cube-cbrt
10×associate-*l/
6×pow-plus
5×distribute-rgt-in distribute-lft-in associate-*r* distribute-lft-out
4×pow-prod-down prod-exp cbrt-unprod insert-posit16 add-log-exp
2×rem-sqrt-square cube-unmult *-commutative unswap-sqr
Counts
4 → 136
Calls
4 calls:
4.0ms
(sqrt (+ a b))
4.0ms
(sqrt (+ a b))
23.0ms
(* (sqrt (+ a b)) (+ a b))
50.0ms
(* (sqrt (+ a b)) (* (sqrt (+ a b)) (+ a b)))

series200.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(sqrt (+ a b))
41.0ms
(sqrt (+ a b))
62.0ms
(* (sqrt (+ a b)) (+ a b))
53.0ms
(* (sqrt (+ a b)) (* (sqrt (+ a b)) (+ a b)))

simplify513.0ms

Counts
148 → 148
Iterations
IterNodes
22014
1577
0182

prune999.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes69.0ms

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
213
113
08

end0.0ms

sample815.0ms

Algorithm
intervals
Results
357.0ms8000×body80valid
313.0ms8000×pre80true