Details

Time bar (total: 8.6s)

sample114.0ms

Algorithm
intervals
Results
51.0ms254×body80nan
41.0ms256×body80valid

simplify2.1s

Counts
1 → 1
Iterations
IterNodes
62811
51684
4612
3200
287
132
016

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (fma -6 (* v v) 2))
0.2b
(* (* v v) PI)
1.0b
(/ 4/3 (- PI (* (* v v) PI)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
16×add-sqr-sqrt
14×add-cube-cbrt
12×times-frac
10×add-cbrt-cube add-exp-log
pow1
associate-/r* distribute-rgt-out--
expm1-log1p-u associate-*r* pow-prod-down prod-exp sqrt-prod cbrt-unprod insert-posit16 log1p-expm1-u associate-/l* add-log-exp
associate-/r/
cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 flip3-- pow1/2 div-exp associate-*l* *-commutative div-inv flip-- unswap-sqr
Counts
3 → 74
Calls
3 calls:
2.0ms
(sqrt (fma -6 (* v v) 2))
25.0ms
(* (* v v) PI)
7.0ms
(/ 4/3 (- PI (* (* v v) PI)))

series262.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(sqrt (fma -6 (* v v) 2))
56.0ms
(* (* v v) PI)
116.0ms
(/ 4/3 (- PI (* (* v v) PI)))

simplify2.6s

Counts
83 → 83
Iterations
IterNodes
33403
21098
1388
0168

prune772.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations
IterNodes
213
113
012

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.3s8000×body80valid
1.1s7882×body80nan