Details

Time bar (total: 9.5s)

sample25.0ms

Algorithm
intervals
Results
12.0ms344×body80valid

simplify5.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2319
3579
4899
51149
61339
71549
81909
92459
102739
113009
123419
133549
143709
153869
164739
175649
188129
1911389
2015689
2116519
2216569
done16569

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- z t)) t)
5.4b
(* (/ x y) (- z t))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
add-exp-log add-cbrt-cube
associate-*r*
pow1 distribute-rgt-in sub-neg associate-+l+ distribute-lft-in add-log-exp
frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 57
Calls
2 calls:
30.0ms
(+ (* (/ x y) (- z t)) t)
31.0ms
(* (/ x y) (- z t))

series114.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(+ (* (/ x y) (- z t)) t)
69.0ms
(* (/ x y) (- z t))

simplify3.2s

Counts
63 → 63
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
0120727
1314701
2980625
33598619
done5001619

prune204.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
1.2b
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
39×add-cbrt-cube
37×prod-exp cbrt-unprod
17×cbrt-undiv div-exp
pow1 cbrt-prod frac-times associate-*r/
distribute-rgt-in add-sqr-sqrt add-cube-cbrt *-un-lft-identity distribute-lft-in
associate-*l*
sub-neg flip3-- flip-- add-log-exp
pow1/3 pow-prod-down associate-*l/
times-frac associate-*r* *-commutative div-inv
Counts
4 → 98
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
146.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

series1.0ms