Details

Time bar (total: 3.4s)

sample42.0ms

Algorithm
intervals
Results
23.0ms318×body80valid

simplify74.0ms

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: 13.4b

localize14.0ms

Local error

Found 1 expressions with local error:

13.0b
(/ (* a1 a2) (* b1 b2))

rewrite41.0ms

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:
39.0ms
(/ (* a1 a2) (* b1 b2))

series61.0ms

Counts
1 → 3
Calls
1 calls:
61.0ms
(/ (* a1 a2) (* b1 b2))

simplify989.0ms

Counts
24 → 24
Iterations

Useful iterations: 2 (155.0ms)

IterNodesCost
053269
1152261
2832191
done5000191

prune52.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

6.0b
(/ (* a1 a2) b1)
6.3b
(/ (/ (* a1 a2) b1) b2)

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
8×associate-/l*
7×cbrt-undiv div-exp
6×associate-/r* div-inv
2×pow1 frac-2neg prod-exp clear-num cbrt-unprod add-log-exp
1×associate-/l/
Counts
2 → 69
Calls
2 calls:
20.0ms
(/ (* a1 a2) b1)
26.0ms
(/ (/ (* a1 a2) b1) b2)

series75.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(/ (* a1 a2) b1)
53.0ms
(/ (/ (* a1 a2) b1) b2)

simplify1.4s

Counts
75 → 75
Iterations

Useful iterations: 2 (142.0ms)

IterNodesCost
0123815
1295780
2941692
done5001692

prune249.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b1)
0.8b
(/ (/ a2 (cbrt b1)) (cbrt b2))
3.6b
(/ (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt b2) (cbrt b2)))
3.7b
(* (/ (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt b2) (cbrt b2))) (/ (/ a2 (cbrt b1)) (cbrt b2)))

rewrite253.0ms

Algorithm
rewrite-expression-head
Rules
572×times-frac
344×add-sqr-sqrt
272×add-cube-cbrt *-un-lft-identity
270×cbrt-prod
138×add-exp-log
136×associate-*r*
74×add-cbrt-cube
64×cbrt-undiv div-exp
41×prod-exp cbrt-unprod
29×associate-/l*
21×unswap-sqr
20×div-inv
11×associate-*l*
7×associate-/r*
6×pow1
4×add-log-exp
2×frac-2neg clear-num associate-/l/
1×frac-times pow1/3 associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 446
Calls
4 calls:
1.0ms
(cbrt b1)
30.0ms
(/ (/ a2 (cbrt b1)) (cbrt b2))
22.0ms
(/ (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt b2) (cbrt b2)))
162.0ms
(* (/ (/ a1 (* (cbrt b1) (cbrt b1))) (* (cbrt b2) (cbrt b2))) (/ (/ a2 (cbrt b1)) (cbrt b2)))

series1.0ms