Details

Time bar (total: 12.1s)

sample21.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify10.0ms

Counts
1 → 1
Iterations
IterNodes
done12
412
311
29
16
04

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (+ x y) x)

rewrite36.0ms

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:
36.0ms
(+ (+ x y) x)

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(+ (+ x y) x)

simplify912.0ms

Counts
18 → 18
Iterations
IterNodes
done5000
31085
2246
181
032

prune67.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x (+ x y)) y)
0.0b
(+ x (+ x y))
20.2b
(/ (* (+ x (+ x y)) y) y)

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
10×add-cbrt-cube add-exp-log
9×add-sqr-sqrt
8×add-log-exp
7×add-cube-cbrt
6×distribute-lft-out
5×pow1 associate-*l*
4×associate-*l/
3×associate-/r* sum-log flip3-+ times-frac associate-*r* flip-+
2×cbrt-undiv div-exp prod-exp cbrt-unprod associate-/l/
1×+-commutative associate-+r+ clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 60
Calls
3 calls:
75.0ms
(* (+ x (+ x y)) y)
12.0ms
(+ x (+ x y))
30.0ms
(/ (* (+ x (+ x y)) y) y)

series104.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(* (+ x (+ x y)) y)
26.0ms
(+ x (+ x y))
27.0ms
(/ (* (+ x (+ x y)) y) y)

simplify1.3s

Counts
69 → 69
Iterations
IterNodes
done5002
21882
1236
088

prune319.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(* (cbrt y) (cbrt y))
6.0b
(* (/ (+ x (+ x y)) (* (cbrt y) (cbrt y))) (/ y (cbrt y)))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
34×*-un-lft-identity
33×cbrt-prod
30×times-frac
29×add-cube-cbrt
28×associate-*r*
27×add-exp-log
18×add-cbrt-cube
15×associate-*l*
13×pow1
10×unswap-sqr
9×prod-exp cbrt-unprod
8×pow1/3
7×cbrt-undiv div-exp
6×swap-sqr
4×add-log-exp
3×pow-prod-down distribute-lft-out
2×pow-sqr *-commutative pow-prod-up div-inv
1×pow2 frac-times pow-plus associate-*l/ associate-*r/
Counts
4 → 123
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
16.0ms
(* (cbrt y) (cbrt y))
86.0ms
(* (/ (+ x (+ x y)) (* (cbrt y) (cbrt y))) (/ y (cbrt y)))

series855.0ms

Counts
4 → 12
Calls
4 calls:
260.0ms
(cbrt y)
248.0ms
(cbrt y)
270.0ms
(* (cbrt y) (cbrt y))
76.0ms
(* (/ (+ x (+ x y)) (* (cbrt y) (cbrt y))) (/ y (cbrt y)))

simplify2.5s

Counts
135 → 135
Iterations
IterNodes
done5000
24028
1542
0170

prune503.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize87.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt y))
0.6b
(cbrt (cbrt y))
0.6b
(cbrt (cbrt y))
6.0b
(* (/ (+ x (+ x y)) (* (cbrt y) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))))) (/ y (cbrt y)))

rewrite427.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
37×cbrt-prod
33×add-sqr-sqrt
30×*-un-lft-identity add-cbrt-cube
25×times-frac add-cube-cbrt
22×associate-*r* prod-exp cbrt-unprod
13×cbrt-undiv div-exp
9×associate-*l*
6×pow1
4×add-log-exp
3×pow1/3 distribute-lft-out unswap-sqr
2×div-inv
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 108
Calls
4 calls:
1.0ms
(cbrt (cbrt y))
1.0ms
(cbrt (cbrt y))
1.0ms
(cbrt (cbrt y))
420.0ms
(* (/ (+ x (+ x y)) (* (cbrt y) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))))) (/ y (cbrt y)))

series1.3s

Counts
4 → 12
Calls
4 calls:
388.0ms
(cbrt (cbrt y))
386.0ms
(cbrt (cbrt y))
391.0ms
(cbrt (cbrt y))
88.0ms
(* (/ (+ x (+ x y)) (* (cbrt y) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))))) (/ y (cbrt y)))

simplify2.3s

Counts
120 → 120
Iterations
IterNodes
done5001
23571
1570
0177

prune544.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

simplify1.0ms

Iterations
IterNodes
done5
15
04

end0.0ms

sample485.0ms

Algorithm
intervals
Results
253.0ms8003×body80valid