Details

Time bar (total: 6.5s)

sample74.0ms

Algorithm
intervals
Results
32.0ms256×body80valid
25.0ms216×body80nan

simplify1.4s

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize43.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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:
11.0ms
(/ (/ 4/3 PI) (- 1 (* v v)))
4.0ms
(/ 4/3 PI)

series127.0ms

Counts
2 → 4
Calls
2 calls:
126.0ms
(/ (/ 4/3 PI) (- 1 (* v v)))
0.0ms
(/ 4/3 PI)

simplify1.4s

Counts
137 → 137
Iterations
IterNodes
done2001
32001
21653
1620
0259

prune622.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations
IterNodes
done15
115
013

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.4s8000×body80valid
1.1s7822×body80nan