Details

Time bar (total: 34.5s)

sample88.0ms

Algorithm
intervals
Results
38.0ms280×body80nan
30.0ms256×body80valid

simplify276.0ms

Calls
1 calls:
Slowest
276.0ms
(/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
137×add-sqr-sqrt
87×*-un-lft-identity
68×associate-*r*
66×prod-diff
62×add-cube-cbrt
32×associate-*l* unswap-sqr
27×times-frac
15×difference-of-squares
14×*-commutative
13×add-cbrt-cube add-exp-log
11×pow1
10×distribute-lft-out--
associate-/r*
add-log-exp
distribute-rgt-out--
expm1-log1p-u pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u
fma-neg associate-/l*
flip3-- associate-/r/ flip--
cbrt-undiv clear-num sub-neg frac-2neg diff-log div-exp div-inv
Calls
4 calls:
Slowest
46.0ms
(/ 4/3 (- PI (* v (* PI v))))
44.0ms
(- PI (* v (* PI v)))
39.0ms
(* v (* PI v))
10.0ms
(* PI v)

series243.0ms

Calls
4 calls:
Slowest
106.0ms
(/ 4/3 (- PI (* v (* PI v))))
57.0ms
(- PI (* v (* PI v)))
43.0ms
(* v (* PI v))
37.0ms
(* PI v)

simplify28.4s

Calls
255 calls:
Slowest
563.0ms
(fma (* (cbrt PI) (cbrt PI)) (cbrt PI) (- (* (cbrt v) (* v (* PI (* (cbrt v) (cbrt v)))))))
463.0ms
(fma 1 PI (- (* (* (sqrt PI) (sqrt v)) (* v (* (sqrt PI) (sqrt v))))))
460.0ms
(+ (* PI PI) (+ (* (* v (* PI v)) (* v (* PI v))) (* PI (* v (* PI v)))))
442.0ms
(fma 1 PI (- (* (cbrt v) (* v (* PI (* (cbrt v) (cbrt v)))))))
415.0ms
(fma 1 PI (- (* (* (sqrt v) (* (sqrt PI) (sqrt v))) (* (sqrt v) (* (sqrt PI) (sqrt v))))))

prune2.2s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.7s8000×body80valid
1.1s8045×body80nan