Details

Time bar (total: 12.5s)

sample106.0ms

Algorithm
intervals
Results
44.0ms263×body80nan
42.0ms256×body80valid

simplify237.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
236.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize47.0ms

Local error

Found 3 expressions with local error:

0.2b
(* 3 (* v v))
0.0b
(sqrt (- 1 (* 3 (* v v))))
0.0b
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
25×associate-*l*
22×times-frac
20×*-un-lft-identity add-cube-cbrt sqrt-prod
13×add-cbrt-cube add-exp-log
11×pow1
7×associate-*r* unswap-sqr
6×sqrt-div
5×prod-exp cbrt-unprod
4×pow-prod-down
3×expm1-log1p-u flip3-- insert-posit16 log1p-expm1-u flip-- add-log-exp
2×frac-times associate-*r/ *-commutative
1×cbrt-undiv rem-sqrt-square sqrt-pow1 pow1/2 div-exp associate-*l/ div-inv
Counts
3 → 95
Calls
3 calls:
Slowest
27.0ms
(* 3 (* v v))
22.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
10.0ms
(sqrt (- 1 (* 3 (* v v))))

series347.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
217.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
82.0ms
(sqrt (- 1 (* 3 (* v v))))
47.0ms
(* 3 (* v v))

simplify7.5s

Counts
77 → 104
Calls
77 calls:
Slowest
867.0ms
(* (* (* (/ (sqrt 2) 4) (/ (sqrt 2) 4)) (/ (sqrt 2) 4)) (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v))))))
492.0ms
(sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))
471.0ms
(* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))
411.0ms
(* 4 (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))))
397.0ms
(* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))

prune974.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.7s8000×body80valid
1.3s8130×body80nan