Details

Time bar (total: 9.0s)

sample96.0ms

Algorithm
intervals
Results
44.0ms256×body80valid
34.0ms279×body80nan

simplify1.5s

Counts
1 → 1
Iterations
IterNodes
done2036
52036
41057
3256
289
134
016

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (/ 4/3 PI) (- 1 (* v v)))
1.0b
(/ 4/3 PI)

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
128×times-frac
80×add-sqr-sqrt *-un-lft-identity
66×add-cube-cbrt
28×difference-of-squares
16×associate-/l*
9×add-cbrt-cube add-exp-log
8×associate-/r* div-inv
4×cbrt-undiv div-exp
2×expm1-log1p-u pow1 clear-num frac-2neg associate-/r/ insert-posit16 log1p-expm1-u add-log-exp
1×flip3-- flip-- associate-/l/
Counts
2 → 133
Calls
2 calls:
27.0ms
(/ (/ 4/3 PI) (- 1 (* v v)))
7.0ms
(/ 4/3 PI)

series129.0ms

Counts
2 → 4
Calls
2 calls:
129.0ms
(/ (/ 4/3 PI) (- 1 (* v v)))
0.0ms
(/ 4/3 PI)

simplify1.3s

Counts
137 → 137
Iterations
IterNodes
done2001
32001
21653
1620
0259

prune1.3s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 1 expressions with local error:

1.0b
(/ 4/3 (* PI (- 1 (* v v))))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×add-cbrt-cube add-exp-log
3×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt associate-/l*
2×cbrt-undiv div-exp associate-*r/ associate-/r/
1×expm1-log1p-u pow1 clear-num associate-/r* frac-2neg flip3-- prod-exp cbrt-unprod insert-posit16 log1p-expm1-u div-inv flip-- add-log-exp
Counts
1 → 26
Calls
1 calls:
9.0ms
(/ 4/3 (* PI (- 1 (* v v))))

series122.0ms

Counts
1 → 3
Calls
1 calls:
122.0ms
(/ 4/3 (* PI (- 1 (* v v))))

simplify1.0s

Counts
29 → 29
Iterations
IterNodes
done2007
32007
2827
1225
088

prune251.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations
IterNodes
done16
116
013

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.7s8207×body80nan
1.2s8000×body80valid