Details

Time bar (total: 8.3s)

sample30.0ms

Algorithm
intervals
Results
10.0ms235×body80valid
1.0ms7×body1280valid
1.0ms6×body640valid
0.0ms3×body320valid
0.0ms5×body160valid

simplify210.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
08203
120163
253163
3145163
4240163
5248163
6249163
done249163

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (+ z (+ (+ x y) (+ x y))))

rewrite278.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity add-log-exp
19×sum-log distribute-lft-out
1×add-sqr-sqrt pow1 +-commutative associate-+r+ flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+
Counts
1 → 23
Calls
1 calls:
275.0ms
(+ x (+ z (+ (+ x y) (+ x y))))

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(+ x (+ z (+ (+ x y) (+ x y))))

simplify3.1s

Counts
26 → 26
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
0536857
11365566
25185566
336115563
done50015563

prune121.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* 3 x) z)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×add-sqr-sqrt pow1 +-commutative sum-log *-un-lft-identity flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+
Counts
1 → 11
Calls
1 calls:
12.0ms
(+ (* 3 x) z)

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(+ (* 3 x) z)

simplify3.7s

Counts
14 → 14
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
0252545
1822175
22212175
37472175
437642175
done50242175

prune89.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 3 x) z)
0.0b
(sqrt (+ (* 3 x) z))
0.0b
(sqrt (+ (* 3 x) z))
0.3b
(* (sqrt (+ (* 3 x) z)) (sqrt (+ (* 3 x) z)))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×*-un-lft-identity add-cube-cbrt
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+
8×swap-sqr
6×add-cbrt-cube associate-*r* associate-*l* add-exp-log add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*l/ associate-*r/
1×pow2 +-commutative sum-log rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
11.0ms
(+ (* 3 x) z)
14.0ms
(sqrt (+ (* 3 x) z))
14.0ms
(sqrt (+ (* 3 x) z))
82.0ms
(* (sqrt (+ (* 3 x) z)) (sqrt (+ (* 3 x) z)))

series199.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(+ (* 3 x) z)
49.0ms
(sqrt (+ (* 3 x) z))
49.0ms
(sqrt (+ (* 3 x) z))
62.0ms
(* (sqrt (+ (* 3 x) z)) (sqrt (+ (* 3 x) z)))

simplify275.0ms

Iterations

Useful iterations: 1 (133.0ms)

IterNodesCost
011429779
127421500