Details

Time bar (total: 5.6s)

sample23.0ms

Algorithm
intervals
Results
10.0ms331×body80valid

simplify44.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1167
2377
3677
4797
done797

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.8b

localize12.0ms

Local error

Found 1 expressions with local error:

11.3b
(/ (* a1 a2) (* b1 b2))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod
1×pow1 add-sqr-sqrt add-cube-cbrt frac-2neg *-un-lft-identity times-frac clear-num associate-/r* div-inv associate-/l* add-log-exp
Counts
1 → 21
Calls
1 calls:
14.0ms
(/ (* a1 a2) (* b1 b2))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(/ (* a1 a2) (* b1 b2))

simplify869.0ms

Counts
24 → 24
Iterations

Useful iterations: 2 (106.0ms)

IterNodesCost
053269
1152261
2832191
done5000191

prune53.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

9.9b
(* (/ a1 b1) (/ a2 b2))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
22×times-frac
15×add-cube-cbrt *-un-lft-identity
13×add-exp-log associate-*r* associate-*l* add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr
3×pow1
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative add-log-exp
Counts
1 → 50
Calls
1 calls:
44.0ms
(* (/ a1 b1) (/ a2 b2))

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(* (/ a1 b1) (/ a2 b2))

simplify4.1s

Counts
53 → 53
Iterations

Useful iterations: 2 (234.0ms)

IterNodesCost
0110565
1307543
21075471
34540471
done5001471

prune129.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt b2)
0.5b
(cbrt b2)
4.8b
(/ (/ a1 b1) (* (cbrt b2) (cbrt b2)))
5.8b
(* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2)))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
86×times-frac
68×add-sqr-sqrt
57×add-exp-log
41×add-cube-cbrt *-un-lft-identity
40×add-cbrt-cube
23×cbrt-undiv div-exp
22×associate-*r*
18×cbrt-prod
17×associate-*l*
16×prod-exp cbrt-unprod
13×associate-/l*
9×unswap-sqr
6×pow1 div-inv
4×add-log-exp
2×pow1/3
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative associate-/l/
Counts
4 → 148
Calls
4 calls:
1.0ms
(cbrt b2)
1.0ms
(cbrt b2)
20.0ms
(/ (/ a1 b1) (* (cbrt b2) (cbrt b2)))
110.0ms
(* (/ (/ a1 b1) (* (cbrt b2) (cbrt b2))) (/ a2 (cbrt b2)))

series0.0ms