Details

Time bar (total: 1.5s)

sample18.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
2.0ms256×pre80true

simplify409.0ms

Counts
1 → 1
Iterations

Useful iterations: done (409.0ms)

IterNodesCost
01025
13125
216323
388519
done500017

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.6b

localize8.0ms

Local error

Found 1 expressions with local error:

17.0b
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log add-cbrt-cube
prod-exp cbrt-unprod
cbrt-undiv div-exp
associate-*l/ associate-/r/
pow1 add-sqr-sqrt add-cube-cbrt flip3-- frac-2neg *-un-lft-identity times-frac clear-num associate-/r* flip-- div-inv associate-/l* add-log-exp
Counts
1 → 27
Calls
1 calls:
24.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

series82.0ms

Counts
1 → 3
Calls
1 calls:
81.0ms
(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

simplify481.0ms

Counts
30 → 30
Iterations

Useful iterations: 2 (104.0ms)

IterNodesCost
096815
1302800
21380544
done5001544

prune48.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
16.3b
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
31×times-frac
25×add-exp-log add-cbrt-cube
21×add-cube-cbrt *-un-lft-identity
18×associate-*l*
cbrt-undiv div-exp prod-exp cbrt-unprod
associate-*r* difference-of-squares
pow1 associate-/r* associate-/r/ unswap-sqr
div-inv associate-/l*
flip3-- flip-- add-log-exp
frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 86
Calls
2 calls:
59.0ms
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
19.0ms
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

series164.0ms

Counts
2 → 6
Calls
2 calls:
81.0ms
(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
83.0ms
(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

simplify160.0ms

Iterations

Useful iterations: 1 (45.0ms)

IterNodesCost
01881994
15381948