Details

Time bar (total: 15.8s)

sample55.0ms

Algorithm
intervals
Results
22.0ms284×body80nan
21.0ms256×body80valid

simplify5.7s

Counts
1 → 1

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ 4/3 (- PI (* (* v v) PI)))
0.2b
(* (* v v) PI)
0.2b
(* 6 (* v v))
0.0b
(sqrt (- 2 (* 6 (* v v))))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
19×add-sqr-sqrt
16×add-cbrt-cube add-exp-log add-cube-cbrt
15×pow1
12×times-frac
6×pow-prod-down prod-exp cbrt-unprod
4×associate-/r* distribute-rgt-out-- associate-*r* associate-*l* insert-posit16 add-log-exp
3×sqrt-prod associate-/l*
2×flip3-- sqrt-div associate-/r/ *-commutative flip-- unswap-sqr
1×cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-exp div-inv
Counts
4 → 90
Calls
4 calls:
Slowest
34.0ms
(* (* v v) PI)
13.0ms
(/ 4/3 (- PI (* (* v v) PI)))
13.0ms
(* 6 (* v v))
3.0ms
(sqrt (- 2 (* 6 (* v v))))

series276.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
104.0ms
(/ 4/3 (- PI (* (* v v) PI)))
102.0ms
(sqrt (- 2 (* 6 (* v v))))
41.0ms
(* 6 (* v v))
28.0ms
(* (* v v) PI)

simplify1.8s

Counts
102 → 102

prune900.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize66.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (sqrt (/ 4/3 (- PI (* (* v v) PI)))) (sqrt (/ 4/3 (- PI (* (* v v) PI)))))
1.0b
(/ 4/3 (- PI (* (* v v) PI)))
1.0b
(/ 4/3 (- PI (* (* v v) PI)))
1.0b
(sqrt (/ 4/3 (- PI (* (* v v) PI))))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
104×sqrt-prod
97×add-sqr-sqrt
91×times-frac
89×*-un-lft-identity
66×add-cube-cbrt
23×distribute-rgt-out-- swap-sqr
21×associate-*r* associate-*l*
20×pow1
14×associate-/r/
10×add-cbrt-cube add-exp-log
9×sqrt-pow1 pow1/2 unswap-sqr
8×associate-/r*
7×flip3-- div-inv flip--
6×associate-/l*
5×sqrt-div pow-prod-up
4×insert-posit16 add-log-exp
3×pow-prod-down pow-sqr
2×cbrt-undiv rem-sqrt-square clear-num frac-2neg div-exp
1×pow2 frac-times rem-square-sqrt pow-plus sqrt-unprod associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 202
Calls
4 calls:
Slowest
44.0ms
(* (sqrt (/ 4/3 (- PI (* (* v v) PI)))) (sqrt (/ 4/3 (- PI (* (* v v) PI)))))
6.0ms
(/ 4/3 (- PI (* (* v v) PI)))
6.0ms
(/ 4/3 (- PI (* (* v v) PI)))
5.0ms
(sqrt (/ 4/3 (- PI (* (* v v) PI))))

series724.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
303.0ms
(sqrt (/ 4/3 (- PI (* (* v v) PI))))
195.0ms
(* (sqrt (/ 4/3 (- PI (* (* v v) PI)))) (sqrt (/ 4/3 (- PI (* (* v v) PI)))))
118.0ms
(/ 4/3 (- PI (* (* v v) PI)))
108.0ms
(/ 4/3 (- PI (* (* v v) PI)))

simplify884.0ms

Counts
214 → 214

prune2.3s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.6s8161×body80nan
1.1s8000×body80valid