Details

Time bar (total: 5.4s)

sample53.0ms

Algorithm
intervals
Results
30.0ms483×body80valid

simplify55.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
011284
124204
242204
348204
454204
done54204

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
0.3b
(* (/ z t) (/ z t))
0.3b
(* (/ x y) (/ x y))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
83×add-sqr-sqrt
80×times-frac
59×*-un-lft-identity add-cube-cbrt
27×add-cbrt-cube add-exp-log
26×swap-sqr associate-*r* associate-*l*
17×pow1
9×frac-add
8×frac-times cbrt-undiv div-exp associate-*l/ prod-exp associate-*r/ cbrt-unprod div-inv unswap-sqr
5×add-log-exp
2×pow2 pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up
1×+-commutative sum-log flip3-+ flip-+
Counts
3 → 154
Calls
3 calls:
17.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
44.0ms
(* (/ z t) (/ z t))
24.0ms
(* (/ x y) (/ x y))

series204.0ms

Counts
3 → 9
Calls
3 calls:
123.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
39.0ms
(* (/ z t) (/ z t))
42.0ms
(* (/ x y) (/ x y))

simplify3.2s

Counts
163 → 163
Iterations

Useful iterations: done (3.2s)

IterNodesCost
025540708
189733254
2307531728
done500130608

prune980.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (/ z t) (/ z t))) (cbrt (* (/ z t) (/ z t))))
21.2b
(cbrt (* (/ z t) (/ z t)))
21.2b
(cbrt (* (/ z t) (/ z t)))
21.2b
(cbrt (* (/ z t) (/ z t)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
33×cbrt-div
20×frac-times
14×associate-*l/ associate-*r/
12×add-sqr-sqrt
11×cbrt-prod pow1
9×pow1/3
8×*-un-lft-identity add-cube-cbrt
6×add-exp-log
4×add-cbrt-cube swap-sqr associate-*r* associate-*l* 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 → 85
Calls
4 calls:
16.0ms
(* (cbrt (* (/ z t) (/ z t))) (cbrt (* (/ z t) (/ z t))))
6.0ms
(cbrt (* (/ z t) (/ z t)))
6.0ms
(cbrt (* (/ z t) (/ z t)))
6.0ms
(cbrt (* (/ z t) (/ z t)))

series562.0ms

Counts
4 → 12
Calls
4 calls:
159.0ms
(* (cbrt (* (/ z t) (/ z t))) (cbrt (* (/ z t) (/ z t))))
131.0ms
(cbrt (* (/ z t) (/ z t)))
119.0ms
(cbrt (* (/ z t) (/ z t)))
153.0ms
(cbrt (* (/ z t) (/ z t)))

simplify90.0ms

Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
011227639