Details

Time bar (total: 27.0s)

sample27.0ms

Algorithm
intervals
Results
13.0ms335×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
165
done65

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.6b

localize8.0ms

Local error

Found 1 expressions with local error:

9.4b
(/ x (* y y))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/l*
2×cbrt-undiv div-exp
1×pow1 frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv add-log-exp
Counts
1 → 21
Calls
1 calls:
17.0ms
(/ x (* y y))

series40.0ms

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

simplify4.9s

Counts
24 → 24
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
043185
191182
2230152
3526152
4907152
52395152
done5001152

prune73.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (/ x y) y)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×associate-/l*
6×add-exp-log add-cbrt-cube
5×div-inv
3×cbrt-undiv div-exp associate-/r*
1×pow1 frac-2neg clear-num associate-/l/ add-log-exp
Counts
1 → 70
Calls
1 calls:
15.0ms
(/ (/ x y) y)

series25.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(/ (/ x y) y)

simplify5.4s

Counts
73 → 73
Iterations

Useful iterations: done (5.4s)

IterNodesCost
0140862
1303813
2622757
31460745
43796724
done5000721

prune156.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite55.0ms

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×associate-*r* associate-*l* add-cbrt-cube
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 associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative add-log-exp
Counts
1 → 57
Calls
1 calls:
50.0ms
(* (/ x y) (/ 1 y))

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(* (/ x y) (/ 1 y))

simplify9.3s

Counts
60 → 60
Iterations

Useful iterations: 4 (7.6s)

IterNodesCost
0110633
1299514
2818414
32010398
44926392
done5000392

prune121.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
11.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
302.0ms
(* (cbrt x) (cbrt x))
294.0ms
(cbrt x)
315.0ms
(cbrt x)
326.0ms
(cbrt x)

simplify5.2s

Counts
85 → 85
Iterations

Useful iterations: done (5.2s)

IterNodesCost
061524
1115417
2319397
31092379
44427374
done5001364

prune292.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes1.0ms