Details

Time bar (total: 11.9s)

sample51.0ms

Algorithm
intervals
Results
20.0ms256×body80valid
13.0ms277×body80nan

simplify4.1s

Counts
1 → 1
Iterations
IterNodes
done5001
74019
62871
51639
4710
3259
290
132
016

prune5.0ms

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))))))

rewrite164.0ms

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×times-frac sqrt-prod associate-/l* add-log-exp
2×*-commutative
1×clear-num associate-/r* frac-2neg div-inv unswap-sqr
Counts
3 → 84
Calls
3 calls:
77.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
13.0ms
(* 6.0 (* v v))
71.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series1.0s

Counts
3 → 9
Calls
3 calls:
399.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
50.0ms
(* 6.0 (* v v))
556.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify2.8s

Counts
93 → 93
Iterations
IterNodes
done5001
24847
1859
0288

prune564.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 1 expressions with local error:

0.2b
(* 6.0 (* v v))

rewrite21.0ms

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×associate-*r* *-commutative add-log-exp unswap-sqr
Counts
1 → 19
Calls
1 calls:
20.0ms
(* 6.0 (* v v))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(* 6.0 (* v v))

simplify979.0ms

Counts
22 → 22
Iterations
IterNodes
done5001
2556
195
034

prune92.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations
IterNodes
done19
119
016

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.2s8000×body80valid
615.0ms8020×body80nan