Details

Time bar (total: 15.4s)

sample24.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify12.0ms

Counts
1 → 1
Iterations
IterNodes
done12
412
311
28
16
04

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (+ x y) x)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
6×*-un-lft-identity add-log-exp
3×sum-log distribute-lft-out
1×add-sqr-sqrt pow1 +-commutative associate-+l+ flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+
Counts
1 → 15
Calls
1 calls:
40.0ms
(+ (+ x y) x)

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(+ (+ x y) x)

simplify3.0s

Counts
18 → 18
Iterations
IterNodes
done5027
44295
3885
2243
180
032

prune55.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))
0.5b
(cbrt (+ (+ x y) x))
0.5b
(cbrt (+ (+ x y) x))
0.5b
(cbrt (+ (+ x y) x))

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
74×*-un-lft-identity
51×cbrt-prod
33×distribute-lft-out
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
14×swap-sqr
11×pow1
9×flip3-+ pow1/3 flip-+
8×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 105
Calls
4 calls:
120.0ms
(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))
12.0ms
(cbrt (+ (+ x y) x))
20.0ms
(cbrt (+ (+ x y) x))
22.0ms
(cbrt (+ (+ x y) x))

series1.1s

Counts
4 → 12
Calls
4 calls:
281.0ms
(* (cbrt (+ (+ x y) x)) (cbrt (+ (+ x y) x)))
273.0ms
(cbrt (+ (+ x y) x))
250.0ms
(cbrt (+ (+ x y) x))
261.0ms
(cbrt (+ (+ x y) x))

simplify2.1s

Counts
117 → 117
Iterations
IterNodes
done5006
32312
2780
1307
0130

prune567.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (+ x y) x))
0.5b
(cbrt (+ (+ x y) x))
0.5b
(cbrt (+ (+ x y) x))
0.5b
(cbrt (+ (+ x y) x))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
20×cbrt-prod
12×distribute-lft-out
8×add-sqr-sqrt cbrt-div add-cube-cbrt
4×pow1 flip3-+ add-cbrt-cube pow1/3 add-exp-log flip-+ add-log-exp
Counts
4 → 60
Calls
4 calls:
19.0ms
(cbrt (+ (+ x y) x))
12.0ms
(cbrt (+ (+ x y) x))
13.0ms
(cbrt (+ (+ x y) x))
25.0ms
(cbrt (+ (+ x y) x))

series1.1s

Counts
4 → 12
Calls
4 calls:
272.0ms
(cbrt (+ (+ x y) x))
276.0ms
(cbrt (+ (+ x y) x))
294.0ms
(cbrt (+ (+ x y) x))
286.0ms
(cbrt (+ (+ x y) x))

simplify3.3s

Counts
72 → 72
Iterations
IterNodes
done5000
44389
31227
2386
1150
065

prune477.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (+ x y) x))
0.0b
(+ (+ x y) x)
0.0b
(+ (+ x y) x)
0.3b
(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

rewrite247.0ms

Algorithm
rewrite-expression-head
Rules
72×*-un-lft-identity
43×sqrt-prod
33×distribute-lft-out
26×add-sqr-sqrt
20×pow1
16×swap-sqr
14×sqrt-div add-log-exp
13×add-cube-cbrt
9×sqrt-pow1 flip3-+ pow1/2 flip-+
8×associate-*r* associate-*l*
6×sum-log add-cbrt-cube add-exp-log
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×+-commutative associate-+l+ associate-*l/ associate-*r/
1×pow2 rem-sqrt-square rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
4 → 116
Calls
4 calls:
24.0ms
(sqrt (+ (+ x y) x))
38.0ms
(+ (+ x y) x)
39.0ms
(+ (+ x y) x)
141.0ms
(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

series149.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(sqrt (+ (+ x y) x))
25.0ms
(+ (+ x y) x)
39.0ms
(+ (+ x y) x)
41.0ms
(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

simplify2.0s

Counts
128 → 128
Iterations
IterNodes
done5009
32576
2721
1268
0119

prune419.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

simplify1.0ms

Iterations
IterNodes
done7
17
05

end0.0ms

sample474.0ms

Algorithm
intervals
Results
204.0ms8007×body80valid