Details

Time bar (total: 12.3s)

sample49.0ms

Algorithm
intervals
Results
16.0ms277×body80nan
16.0ms256×body80valid

simplify2.4s

Counts
1 → 1
Iterations
IterNodes
done1701
71701
61666
51268
4581
3225
285
132
016

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize20.0ms

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))))))

rewrite193.0ms

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--
add-sqr-sqrt pow-prod-down
frac-times *-un-lft-identity associate-/r/ add-cube-cbrt
associate-*r*
cbrt-undiv div-exp associate-*l* associate-*l/
expm1-log1p-u times-frac sqrt-prod log1p-expm1-u associate-/l* add-log-exp
*-commutative
clear-num associate-/r* frac-2neg div-inv unswap-sqr
Counts
3 → 90
Calls
3 calls:
86.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
19.0ms
(* 6.0 (* v v))
82.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series1.0s

Counts
3 → 9
Calls
3 calls:
423.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
52.0ms
(* 6.0 (* v v))
550.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify2.6s

Counts
99 → 99
Iterations
IterNodes
done5002
23355
1866
0294

prune544.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 1 expressions with local error:

0.2b
(* 6.0 (* v v))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-cbrt-cube add-exp-log
add-sqr-sqrt associate-*l* pow-prod-down prod-exp cbrt-unprod
*-un-lft-identity add-cube-cbrt
expm1-log1p-u associate-*r* *-commutative log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 21
Calls
1 calls:
21.0ms
(* 6.0 (* v v))

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(* 6.0 (* v v))

simplify3.5s

Counts
24 → 24
Iterations
IterNodes
done5001
31093
2261
190
036

prune111.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify4.0ms

Iterations
IterNodes
done19
119
016

end0.0ms

sample1.8s

Algorithm
intervals
Results
834.0ms8000×body80valid
665.0ms8020×body80nan