Details

Time bar (total: 10.1s)

sample106.0ms

Algorithm
intervals
Results
42.0ms256×body80valid
42.0ms263×body80nan

simplify2.3s

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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(- PI (* (* v v) PI))
0.0b
(/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (fma -6 (* v v) 2)))
0.1b
(* (* v v) PI)
1.0b
(/ 4/3 (- PI (* (* v v) PI)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
204×times-frac
136×*-un-lft-identity
111×add-sqr-sqrt
110×add-cube-cbrt
57×sqrt-prod
26×distribute-rgt-out--
21×associate-/l*
16×add-cbrt-cube add-exp-log associate-/r/
10×associate-/r*
9×pow1 flip3-- div-inv flip--
6×add-log-exp
4×expm1-log1p-u cbrt-undiv div-exp insert-posit16 log1p-expm1-u
3×fma-neg associate-*r* prod-diff pow-prod-down prod-exp cbrt-unprod
2×clear-num frac-2neg
1×sub-neg diff-log associate-*l* *-commutative unswap-sqr associate-/l/
Counts
4 → 230
Calls
4 calls:
5.0ms
(- PI (* (* v v) PI))
16.0ms
(/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (fma -6 (* v v) 2)))
25.0ms
(* (* v v) PI)
7.0ms
(/ 4/3 (- PI (* (* v v) PI)))

series731.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(- PI (* (* v v) PI))
513.0ms
(/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (fma -6 (* v v) 2)))
31.0ms
(* (* v v) PI)
113.0ms
(/ 4/3 (- PI (* (* v v) PI)))

simplify1.9s

Counts
242 → 242
Iterations
IterNodes
22886
11018
0415

prune1.9s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations
IterNodes
213
113
012

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.6s8000×body80valid
1.2s7867×body80nan