Details

Time bar (total: 11.4s)

sample31.0ms

Algorithm
intervals
Results
7.0ms256×pre80true
6.0ms256×body80valid

simplify30.0ms

Counts
1 → 1
Iterations
IterNodes
done64
464
361
238
118
07

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(* a (+ (+ b c) d))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*r*
3×pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt distribute-lft-out
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
66.0ms
(* a (+ (+ b c) d))

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(* a (+ (+ b c) d))

simplify2.3s

Counts
27 → 27
Iterations
IterNodes
done5152
34192
2663
1164
052

prune120.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* a (+ b c)) (* a d))
0.0b
(* a (+ b c))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-cbrt-cube associate-*r* add-exp-log add-cube-cbrt add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+ distribute-lft-out
1×+-commutative sum-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 37
Calls
2 calls:
13.0ms
(+ (* a (+ b c)) (* a d))
16.0ms
(* a (+ b c))

series92.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(+ (* a (+ b c)) (* a d))
37.0ms
(* a (+ b c))

simplify913.0ms

Counts
43 → 43
Iterations
IterNodes
done5000
2839
1230
072

prune248.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* b a) (+ (* c a) (* a d)))
0.0b
(+ (* c a) (* a d))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
2×add-sqr-sqrt pow1 +-commutative *-un-lft-identity flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+
1×associate-+r+
Counts
2 → 24
Calls
2 calls:
21.0ms
(+ (* b a) (+ (* c a) (* a d)))
9.0ms
(+ (* c a) (* a d))

series84.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(+ (* b a) (+ (* c a) (* a d)))
37.0ms
(+ (* c a) (* a d))

simplify2.1s

Counts
30 → 30
Iterations
IterNodes
done5011
33422
2787
1192
056

prune186.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(* a (+ b c))
0.1b
(sqrt (* a (+ b c)))
0.1b
(sqrt (* a (+ b c)))
0.5b
(* (sqrt (* a (+ b c))) (sqrt (* a (+ b c))))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*r/
16×sqrt-div
14×add-sqr-sqrt
12×*-un-lft-identity pow1/2
10×pow-prod-up add-cube-cbrt
9×flip3-+ flip-+
8×add-cbrt-cube associate-*r* add-exp-log
7×associate-*l*
6×pow-sqr sqrt-prod
4×frac-times swap-sqr add-log-exp
2×associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 distribute-rgt-in rem-square-sqrt distribute-lft-in pow-plus sqrt-unprod distribute-lft-out
Counts
4 → 106
Calls
4 calls:
16.0ms
(* a (+ b c))
6.0ms
(sqrt (* a (+ b c)))
12.0ms
(sqrt (* a (+ b c)))
53.0ms
(* (sqrt (* a (+ b c))) (sqrt (* a (+ b c))))

series171.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* a (+ b c))
55.0ms
(sqrt (* a (+ b c)))
58.0ms
(sqrt (* a (+ b c)))
28.0ms
(* (sqrt (* a (+ b c))) (sqrt (* a (+ b c))))

simplify2.6s

Counts
118 → 118
Iterations
IterNodes
done5000
34631
2887
1307
0120

prune483.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes326.0ms

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
done14
114
09

end0.0ms

sample1.3s

Algorithm
intervals
Results
595.0ms8000×body80valid
299.0ms8000×pre80true