Details

Time bar (total: 6.9s)

sample54.0ms

Algorithm
intervals
Results
12.0ms256×pre80true
11.0ms256×body80valid

simplify68.0ms

Counts
1 → 1
Iterations
IterNodes
done89
589
485
366
239
118
07

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
7×add-log-exp
6×add-sqr-sqrt distribute-lft-out
5×associate-*l*
4×pow1 add-cbrt-cube add-exp-log add-cube-cbrt
3×sum-log associate-*r*
2×flip3-+ associate-*l/ flip-+
1×+-commutative associate-+l+ pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 37
Calls
2 calls:
23.0ms
(+ (+ b c) d)
117.0ms
(* (+ (+ b c) d) a)

series66.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(+ (+ b c) d)
39.0ms
(* (+ (+ b c) d) a)

simplify814.0ms

Counts
43 → 43
Iterations
IterNodes
done5000
2736
1158
064

prune192.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*l*
3×pow1 add-cbrt-cube associate-*r* add-exp-log add-cube-cbrt distribute-lft-out
2×associate-*l/
1×flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 22
Calls
1 calls:
62.0ms
(* (+ b (+ c d)) a)

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(* (+ b (+ c d)) a)

simplify500.0ms

Counts
25 → 25
Iterations
IterNodes
done5000
2685
1129
049

prune138.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* a (+ d (+ c b)))
0.1b
(sqrt (* a (+ d (+ c b))))
0.1b
(sqrt (* a (+ d (+ c b))))
0.6b
(* (sqrt (* a (+ d (+ c b)))) (sqrt (* a (+ d (+ c b)))))

rewrite227.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*r/
16×sqrt-div
15×*-un-lft-identity
14×add-sqr-sqrt
12×pow1/2
10×pow-prod-up add-cube-cbrt
9×flip3-+ associate-*r* flip-+
8×add-cbrt-cube add-exp-log
7×associate-*l*
6×pow-sqr sqrt-prod
4×frac-times swap-sqr add-log-exp
3×distribute-lft-out
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
Counts
4 → 107
Calls
4 calls:
57.0ms
(* a (+ d (+ c b)))
25.0ms
(sqrt (* a (+ d (+ c b))))
20.0ms
(sqrt (* a (+ d (+ c b))))
121.0ms
(* (sqrt (* a (+ d (+ c b)))) (sqrt (* a (+ d (+ c b)))))

series636.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* a (+ d (+ c b)))
255.0ms
(sqrt (* a (+ d (+ c b))))
302.0ms
(sqrt (* a (+ d (+ c b))))
34.0ms
(* (sqrt (* a (+ d (+ c b)))) (sqrt (* a (+ d (+ c b)))))

simplify942.0ms

Counts
119 → 119
Iterations
IterNodes
done5000
21928
1381
0136

prune584.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

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:
19.0ms
(+ (* a (+ d b)) (* a c))
20.0ms
(* a (+ d b))

series114.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(+ (* a (+ d b)) (* a c))
49.0ms
(* a (+ d b))

simplify525.0ms

Counts
43 → 43
Iterations
IterNodes
done5000
2998
1229
072

prune180.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes304.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done10
110
07

end0.0ms

sample1.2s

Algorithm
intervals
Results
367.0ms8000×body80valid
339.0ms8000×pre80true