Details

Time bar (total: 13.5s)

sample92.0ms

Algorithm
intervals
Results
43.0ms284×body80nan
28.0ms256×body80valid

simplify3.2s

Counts
1 → 1

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ 4/3 (- PI (* v (* PI v))))
0.3b
(* PI v)
0.1b
(* v (* PI v))
0.0b
(sqrt (fma (* v -6) v 2))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
16×*-un-lft-identity add-cube-cbrt
13×add-cbrt-cube add-exp-log
12×pow1
9×times-frac
6×associate-*l*
4×expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* sqrt-prod associate-/l*
2×associate-/r/ *-commutative
1×cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 flip3-- pow1/2 div-exp div-inv flip-- unswap-sqr
Counts
4 → 90
Calls
4 calls:
Slowest
27.0ms
(* v (* PI v))
13.0ms
(/ 4/3 (- PI (* v (* PI v))))
11.0ms
(* PI v)
2.0ms
(sqrt (fma (* v -6) v 2))

series259.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
108.0ms
(/ 4/3 (- PI (* v (* PI v))))
86.0ms
(sqrt (fma (* v -6) v 2))
43.0ms
(* v (* PI v))
22.0ms
(* PI v)

simplify1.5s

Counts
102 → 102

prune1.0s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
90×add-sqr-sqrt
89×sqrt-prod
70×times-frac
59×*-un-lft-identity add-cube-cbrt
20×pow1 swap-sqr
18×associate-*r* associate-*l*
14×associate-/r/
10×add-cbrt-cube add-exp-log
9×sqrt-pow1 pow1/2 unswap-sqr
7×flip3-- div-inv flip--
6×associate-/r* associate-/l*
5×sqrt-div pow-prod-up
4×expm1-log1p-u insert-posit16 log1p-expm1-u 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 → 190
Calls
4 calls:
Slowest
32.0ms
(* (sqrt (/ 4/3 (- PI (* v (* PI v))))) (sqrt (/ 4/3 (- PI (* v (* PI v))))))
13.0ms
(/ 4/3 (- PI (* v (* PI v))))
13.0ms
(/ 4/3 (- PI (* v (* PI v))))
11.0ms
(sqrt (/ 4/3 (- PI (* v (* PI v)))))

series814.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
367.0ms
(sqrt (/ 4/3 (- PI (* v (* PI v)))))
207.0ms
(* (sqrt (/ 4/3 (- PI (* v (* PI v))))) (sqrt (/ 4/3 (- PI (* v (* PI v))))))
123.0ms
(/ 4/3 (- PI (* v (* PI v))))
117.0ms
(/ 4/3 (- PI (* v (* PI v))))

simplify851.0ms

Counts
202 → 202

prune2.6s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.6s8000×body80valid
1.2s8161×body80nan