Details

Time bar (total: 14.2s)

sample33.0ms

Algorithm
intervals
Results
15.0ms338×body80valid

simplify11.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06123
110123
211123
done11123

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.0b

localize22.0ms

Local error

Found 1 expressions with local error:

11.8b
(/ x (* y y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
6×add-cbrt-cube add-exp-log
3×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt associate-/l*
2×cbrt-undiv div-exp
1×pow1 clear-num associate-/r* frac-2neg prod-exp cbrt-unprod div-inv add-log-exp
Counts
1 → 21
Calls
1 calls:
12.0ms
(/ x (* y y))

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(/ x (* y y))

simplify2.7s

Counts
24 → 24
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
0433987
11023334
23243174
314483174
done50003174

prune138.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (/ x y) y)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×associate-/l*
6×add-cbrt-cube add-exp-log
5×div-inv
3×cbrt-undiv associate-/r* div-exp
1×pow1 clear-num frac-2neg add-log-exp associate-/l/
Counts
1 → 70
Calls
1 calls:
17.0ms
(/ (/ x y) y)

series41.0ms

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

simplify4.0s

Counts
73 → 73
Iterations

Useful iterations: done (4.0s)

IterNodesCost
014020206
131618459
283517738
3453017698
done504217618

prune376.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (/ x y) (/ 1 y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
25×times-frac
23×add-exp-log
17×*-un-lft-identity
15×add-cube-cbrt
13×add-cbrt-cube associate-*r* associate-*l*
8×div-exp prod-exp
6×unswap-sqr
4×cbrt-undiv cbrt-unprod
3×pow1
2×rec-exp 1-exp div-inv
1×frac-times pow-prod-down associate-*l/ associate-*r/ un-div-inv *-commutative add-log-exp
Counts
1 → 57
Calls
1 calls:
19.0ms
(* (/ x y) (/ 1 y))

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(* (/ x y) (/ 1 y))

simplify5.8s

Counts
60 → 60
Iterations

Useful iterations: done (5.7s)

IterNodesCost
011013889
132811278
210529355
330499074
done55558754

prune251.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (/ x y) (/ 1 y))) (cbrt (* (/ x y) (/ 1 y))))
20.2b
(cbrt (* (/ x y) (/ 1 y)))
20.2b
(cbrt (* (/ x y) (/ 1 y)))
20.2b
(cbrt (* (/ x y) (/ 1 y)))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
52×cbrt-div
29×frac-times
17×associate-*l/ associate-*r/
13×un-div-inv
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×add-cbrt-cube swap-sqr associate-*r* associate-*l* add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 94
Calls
4 calls:
22.0ms
(* (cbrt (* (/ x y) (/ 1 y))) (cbrt (* (/ x y) (/ 1 y))))
14.0ms
(cbrt (* (/ x y) (/ 1 y)))
14.0ms
(cbrt (* (/ x y) (/ 1 y)))
20.0ms
(cbrt (* (/ x y) (/ 1 y)))

series528.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(* (cbrt (* (/ x y) (/ 1 y))) (cbrt (* (/ x y) (/ 1 y))))
123.0ms
(cbrt (* (/ x y) (/ 1 y)))
102.0ms
(cbrt (* (/ x y) (/ 1 y)))
140.0ms
(cbrt (* (/ x y) (/ 1 y)))

simplify103.0ms

Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
012032912