Details

Time bar (total: 13.4s)

sample40.0ms

Algorithm
intervals
Results
13.0ms277×body80nan
13.0ms256×body80valid

simplify5.1s

Counts
1 → 1
Iterations
IterNodes
done5001
63736
51812
4764
3271
290
132
016

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.2b
(* 6.0 (* v v))
1.0b
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite206.0ms

Algorithm
rewrite-expression-head
Rules
31×add-cbrt-cube add-exp-log
17×pow1
16×associate-*r/
15×prod-exp cbrt-unprod
12×flip3-- sqrt-div flip--
9×add-sqr-sqrt pow-prod-down
8×frac-times *-un-lft-identity associate-/r/ add-cube-cbrt
7×associate-*r*
4×cbrt-undiv div-exp associate-*l* associate-*l/
3×expm1-log1p-u times-frac sqrt-prod log1p-expm1-u associate-/l* add-log-exp
2×*-commutative
1×clear-num associate-/r* frac-2neg div-inv unswap-sqr
Counts
3 → 90
Calls
3 calls:
103.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
22.0ms
(* 6.0 (* v v))
76.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series1.1s

Counts
3 → 9
Calls
3 calls:
472.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
46.0ms
(* 6.0 (* v v))
591.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify3.1s

Counts
99 → 99
Iterations
IterNodes
done5000
24887
1885
0294

prune597.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 1 expressions with local error:

0.2b
(* 6.0 (* v v))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-cbrt-cube add-exp-log
3×add-sqr-sqrt associate-*l* pow-prod-down prod-exp cbrt-unprod
2×*-un-lft-identity add-cube-cbrt
1×expm1-log1p-u associate-*r* *-commutative log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 21
Calls
1 calls:
18.0ms
(* 6.0 (* v v))

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(* 6.0 (* v v))

simplify1.2s

Counts
24 → 24
Iterations
IterNodes
done5001
2553
199
036

prune116.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify5.0ms

Iterations
IterNodes
done19
119
016

end0.0ms

sample1.9s

Algorithm
intervals
Results
815.0ms8020×body80nan
768.0ms8000×body80valid