Details

Time bar (total: 8.7s)

sample106.0ms

Algorithm
intervals
Results
52.0ms263×body80nan
35.0ms256×body80valid

simplify1.8s

Counts
1 → 1
Iterations
IterNodes
62456
51446
4551
3188
287
132
016

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b
(* v (* PI v))
0.2b
(* 6 (* v v))
0.3b
(* PI v)
1.0b
(/ 4/3 (- PI (* v (* PI v))))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
18×add-cbrt-cube add-exp-log
16×pow1 *-un-lft-identity add-cube-cbrt
9×times-frac associate-*l*
7×pow-prod-down prod-exp cbrt-unprod
5×associate-*r*
4×insert-posit16 add-log-exp
3×associate-/r* *-commutative associate-/l*
2×associate-/r/ unswap-sqr
1×cbrt-undiv clear-num frac-2neg flip3-- div-exp div-inv flip--
Counts
4 → 88
Calls
4 calls:
28.0ms
(* v (* PI v))
28.0ms
(* 6 (* v v))
12.0ms
(* PI v)
14.0ms
(/ 4/3 (- PI (* v (* PI v))))

series267.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* v (* PI v))
45.0ms
(* 6 (* v v))
41.0ms
(* PI v)
133.0ms
(/ 4/3 (- PI (* v (* PI v))))

simplify2.3s

Counts
100 → 100
Iterations
IterNodes
34005
21019
1375
0157

prune832.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations
IterNodes
217
117
014

end0.0ms

sample3.3s

Algorithm
intervals
Results
1.6s7867×body80nan
1.4s8000×body80valid