Details

Time bar (total: 7.9s)

sample21.0ms

Algorithm
intervals
Results
9.0ms339×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0482
1682
done682

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize7.0ms

Local error

Found 1 expressions with local error:

0.5b
(/ 1.0 (* x x))

rewrite10.0ms

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:
10.0ms
(/ 1.0 (* x x))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(/ 1.0 (* x x))

simplify2.0s

Counts
24 → 24
Iterations

Useful iterations: 2 (99.0ms)

IterNodesCost
0433987
11023334
23243174
314483174
done50003174

prune85.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ (/ 1.0 x) x)

rewrite12.0ms

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:
9.0ms
(/ (/ 1.0 x) x)

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(/ (/ 1.0 x) x)

simplify3.5s

Counts
73 → 73
Iterations

Useful iterations: done (3.5s)

IterNodesCost
014020206
131618459
283517738
3453017698
done504217618

prune301.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (/ (/ 1.0 x) x)) (cbrt (/ (/ 1.0 x) x)))
24.3b
(cbrt (/ (/ 1.0 x) x))
24.3b
(cbrt (/ (/ 1.0 x) x))
24.3b
(cbrt (/ (/ 1.0 x) x))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
486×times-frac
325×cbrt-prod
309×add-sqr-sqrt
253×*-un-lft-identity add-cube-cbrt
46×swap-sqr associate-*r* associate-*l*
28×div-inv
16×unswap-sqr
11×pow1
9×pow1/3
7×cbrt-div
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 331
Calls
4 calls:
84.0ms
(* (cbrt (/ (/ 1.0 x) x)) (cbrt (/ (/ 1.0 x) x)))
5.0ms
(cbrt (/ (/ 1.0 x) x))
4.0ms
(cbrt (/ (/ 1.0 x) x))
8.0ms
(cbrt (/ (/ 1.0 x) x))

series1.4s

Counts
4 → 12
Calls
4 calls:
398.0ms
(* (cbrt (/ (/ 1.0 x) x)) (cbrt (/ (/ 1.0 x) x)))
353.0ms
(cbrt (/ (/ 1.0 x) x))
295.0ms
(cbrt (/ (/ 1.0 x) x))
305.0ms
(cbrt (/ (/ 1.0 x) x))

simplify301.0ms

Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
0384164056